H1200_ Calculus 1_S2_Ms. Henah - urses / 54 MATH1200_S2 / General / Worksheet # 2 5t-9,y 10t +9 at Find the equation of the line tangent to the curve z the point t Answer: 1/9
Q: Solve d/dx(sinxsinx)
A: Given: ddxsinxsinx
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Q: The operation Δ is defined so that aΔb=a×b+a+b. For example, 2Δ5=2×5+2+5=17. If pΔ3=39, the value of...
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Q: Graph the following limit
A: To evaluate the limit: limx→23x+1 Solution: We know, the value of limit at any point for a linear fu...
Q: Problem: If f(1, y, z) = In(x +y0+ 2)+ V(10+ + 2), then find fz, fy and f; at (1,1,1).
A: we will find fx , fy , fz at (1,1,1)
Q: A teacher places n seats to form the back row of a classroom layout. Each successive row contains tw...
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Q: The following statements are false. Explain why each statement is false. (a) Consider the function f...
A: To find the reasons for which the following two statements are false. Both the statements here are r...
Q: A company knows that the unit cost C and the unit revenue R from the production and sale of x units ...
A: From the given problem cost function is: Cx=r2104000+3477 And dCdx=$15/unit ; r=$1000 Now, diffe...
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A: A curve f(x) is said to be concave upward if f''x>0 and concave downward if f''x<0. The given ...
Q: In Problem,use the Rational Zeros Theorem to find all the real zeros of each polynomial function.Use...
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Q: 14. yy +x =Vx² + y?
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Q: EXAMPLE 7 Solving Exponential Equation That Is Quadratic in Form an Solve: 4* – 2* – 12 = 0
A: The equation: 4x-2x-12=0
Q: Use the given imaginary ZERO of the polynomial function to find the remaining ZEROS. f (x) = 4 .73 1...
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Q: Determine if the given function is continuous at every real number
A: fx=x3+4x2+4x+2 Now let c be any real number. Then, fc=c3+4c2+4c+2 & limx→cfx=limx→cx3+4x2+4x+2=c...
Q: 2. Use the Intermediate Value Theorem to prove that the equation e* = 4 - x³is solvable on the inter...
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Q: If a carousel is rotating at 2.5 revolutions per minute, explain how to find the linear speed of a c...
A: Given that carousel is rotating at 2.5 revolutions per minute. It is known that the linear speed is ...
Q: dy 5- dx for y = tan (3x) is equal to: b) sec (3x) a) 6x sec(3x) tan(3x) c) 6x sec (3x) 6- dx for y ...
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Q: Find the inflection points (meaning both x and y-coordinates), if any, of each function. f(x)= ln ...
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Q: Find the exact value of each of the following under the given conditions:
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Q: Write the equation obtained after multiplying the equation x+2= 15 by your common denominator.
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Q: The sum of two numbers is 60. The product of one by the cube of the other is to be a maximum. What a...
A: We have to find the numbers
Q: Pu Pu n. %3D dy? is cos (r – y) -3r sin (x – y) e (x+ y)? sin (x – y)
A: In these type of questions there may be more than 1 options. Check all the options.
Q: 2x? a. Solve y' = -with an initial-value condition y(1) = 2, find the 2y general and particular solu...
A: Differential equation solving
Q: Using the Law of Sines to solve the triangle if ZA = 36° , ZC = 72°, b = 23: ZB is degrees; a = c = ...
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Q: Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces. Con...
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Q: Evaluate without using a calculator. sin−1(−1)
A: We have to evaluate: sin-1-1
Q: A communications tower is located at the top of a steep hill, as shown. The angle of inclination of ...
A: We use Trigonometry ratios
Q: WORK THROUGH ALL INTEGRALS WORK THROUGH ALL LIMITS
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Q: In Problem ,graph each rational function using transformations
A: Given- Rx=x-4x To Draw- The graph of the above functions using transformations.
Q: WORK THROUGH ALL INTEGRALS WORK THROUGH ALL LIMITS TRIG INTEGRALS, LET THE EXPONENTS DETERMINE TH...
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Q: f(x) = -65x+50x2+18 1. Find the zeros, if exist. 2. Determine whether the function has a maximum or ...
A: Calculate the zeroes by factorisation and then with the help of first and second derivative test fin...
Q: find a differential operator that annihilates the given function
A: The annihilator approach in differential equation is used to solve a non homogeneous ordinary differ...
Q: In Problem ,use the given zero to find the remaining zeros of each function
A: Solution:Givenf(x)=2x4+5x3+5x2+20x-12, zero:-2i
Q: help
A: Find the fourth vertex
Q: 1. Use the Intermediate Value Theorem to prove that the equation 3x - 4x? = 3 is solvable on the int...
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Q: Please evaluate the integral. Thank you.
A: We will find integration by using product rule of integration. Taking sin-1(x) as first function.
Q: Prove the following statements for arbitrary elements in an ordered integral domain. a> b impli...
A: The objective is to prove that, a>b implies -b>-a for arbitrary elements in an ordered integra...
Q: (2xsiny-3)dy-cosydx=0 solve the differential equation
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Q: Mrs. West has decided to take her fifth grade class to a play.The manager of the theater agreed to d...
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Q: Exercise (3): Find the work done under the influence of the force F = 3xyi – 5zj + 10xk along the cu...
A: The work done by a force on displacing a object by a certain distance is given by dot product of for...
Q: In Problem,form a polynomial function f(x) with real coefficients having the given degree and zeros....
A: According to conjugate pairs theorem , if the zeros the polynomial is a non real zeros , the those z...
Q: Question 2: Identify the co-ordinates of any local and absolute extreme points and inflection points...
A: Given function is Y=4x3+21x2+36x-20find local and absolute extreme points and inflection points for...
Q: what's the answer to this integral?
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Q: In the figure below, S Is the center of the circle. Suppose that JK=4, LM=4, NS=6, and PS=4x-6. Find...
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Q: A certain type of material doubles every 480 minutes a culture begins with 30,000 bacteria how many ...
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Q: Need Solution through 15min
A: Given table, Average temperature for 12 hour period, by using trapezoidal rule. Use the formula: 1b...
Q: Solve,a. Find f′(x).b. Find the slope of the tangent line to the graph of f at each of the two value...
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Q: Use the graph of the function f to solve the inequality
A: Use the graph of the function f to solve the inequality(a) f(x)>0The function f(x)>0 is decre...
Q: dx Vx+ Vx
A: Given: ∫x-x3x3+x4dx
Q: Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable...
A: The given differential equation is, L·dIdt + RI = V(t) given that, R = 50, L = 0.1 and V(t) = 10...
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- Velocity What is the rate of change in directed distance?Sign of VelocityWhen directed distance is decreasing, is velocity positive or negative? What is the velocity when directed distance is not changing?Water is leaking out of an inverted conical tank at a rate of 10,000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m, and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the hight of the water is 2 m, find the rate at which water is being pumped into the tank? *Notes: Please label your known and unknown variables. Also, please draw a diagram of the problem* *Please use handrwritng, not typing. i understand it better that way. Thank you.*
- The sides of square are initially 5 inches in length and increase at a constant rate of 3 inches per second.One corner of square moves along a line L at a speed of 2 inches per second for 5 second.During this time the square makes one complete revolution L, revolving at a constant rate and remaining always perpendicular to L. explain how carefully how to compute volume of solid generated by square.Carry out the computation you describe.particle P moves clockwise at a constant rate along a circle of radius 10 m centered at the origin. The particle’s initial position is (0, 10) on the y-axis, and its final destination is the point (10, 0) on the x-axis. Once the particle is in motion, the tangent line at P intersects the x-axis at a point Q (which moves over time). If it takes the particle 30 sec to travel from start to finish, how fast is the point Q moving along the x-axis when it is 20 m from the center of the circle?5. small funnel in the shape of a cone is being emptied of fluid at the rate of 12 cubic centimeters per second. The height of the funnel is 20 centimeters and the radius of the top is 4 centimeters. How fast is the fluid level dropping when the level stands 5 centimeters above the vertex of the cone?
- A particle moves along the x-axis. Its acceleration is a = -t2. At t = 0, the particle is at the origin. In the course of its motion, it reaches the point x = b, where b > 0, but no point beyond b. Determine its velocity at t = 0.A Test of Your Intuition We have two curves. The first starts at y(O) = 1 and its rate of increase equals its height: that is, it satisfies y' = y. The second curve also starts at y(O) = I with the same slope, and its second derivative, measuring upward curvature. equals its height; that is. it satisfies y" = y. Which curve lies above the other? Make an educated guess before resolving the question analytically.Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. x = 1 − y2, x = y2 − 1 The x y-coordinate plane is given. There are 2 curves, a shaded region, and an approximating rectangle on the graph. The first curve enters the window in the third quadrant, goes up and right becoming less steep, crosses the x-axis at approximately x = −0.71 crossing the second curve, changes direction at the point (0, 0.5), goes down and right becoming more steep, crosses the x-axis at approximately x = 0.71 crossing the second curve, and exits the window in the fourth quadrant. The second curve enters the window in the second quadrant, goes down and right becoming less steep, crosses the x-axis at approximately x = −0.71 crossing the first curve, changes direction at the point (0, −0.5), goes up and right becoming more steep, crosses the x-axis at approximately x = 0.71 crossing the first curve, and exits the window…
- Two light sources of intensities I1 and I2 are L units apart. Find the point on the line segment joining the two sources that has the least illumination.Integration in calculus is generally used for: computing the rate of change of one variable with respect to another computing areas under curves computing areas in rectangles only none of the aboveThe level of ozone in Earth's atmosphere has been closely watched since the 1970s, with the level of ozone depletion at the south pole a good indicator of global trends. One model of the region of polar depletion assumes the region is circular and that its radius, over a certain period of time, grows at a constant rate of 2.8 kilometers per hour. 4. What is the radius after 3 hours? Show your work for full credit. 5. What is the radius after 5.5 hours? Show your work for full credit. 6. What is the area of the circle after 3 hours? Show your work for full credit. Pdt: Please write in a clear way so I can understand. Thank you