-5- (0,2:6) (-2-3,0) (0-0) -5 0 -5- GREEN TREE EN (2.6-0-- VALPA 10

Q: Evaluate the limit In(t + 6) t - 10 -i + 10t²j + (t + 6)²k) lim t→0 Enter your answer in i, j, k…

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Q: Question 7 Multiple choice (one answer) Find the solution of: 3 gdy +y*ecosa sin .cdr =0 xdx O 3…

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Q: Find the producers' surplus for the supply curve p = 0.02x + 7 at x = 100. O $800 O $100 O $200 O…

A: The producer surplus formula is given below.

Q: Find the volume of the region bounded above by the surface z = 6-y² and below by the rectangle R:…

A: z=6-y^2

Q: A hockey player skates on a line that is perpendicular to the goal line. If the line on which he is…

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Q: Please answer completely. thank you

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Q: Determine the scalar equation of a plane with normal vector n = [3,1,3] that has a y-intercept of 5.

A: Equation of plane passing through point x1,y1,z1 and normal vector A,B,C⇒Ax-x1+By-y1+Cz-z1=0

Q: (x-6)(x+5) (x+2) (x-3) The derivative of the function, f(x), is f'(x) (line method or chart method),…

A: f'x=x-6x+5x+22x-3

Q: Given x + y + z = 4 and Po(2,2,0), find the following. (a) Find the equation for the tangent plane…

A: x+y+z=4 P0=(2,2,0)

Q: M Question 1. Use the Second Derivative Test to find and classify the critical points of the…

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Q: Consider the function f(x) = 4 sin (4(x − 5)) +6. State the amplitude A, period P, and midline.…

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Q: Find the directional derivative of f(x, y, z) = in the direction from P to Q(3, 8, -2). NOTE: Enter…

A: The directional derivative of the function f in the direction of u is: Duf=∇f·uu

Q: 4. Given 1 = f(x,y) dydx + f(x,y) dydx, do the following. (a). Sketch the graph of the region of…

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Q: What is the exact value of sin(465°)?

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Q: Find the slope of the function f(x)=√1-2x at the point (-4, 3) using first principles.

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Q: For the regions A and B shown in the graph: A: Discuss the limits of integration. B: Set up an…

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Q: Use l'Hôpital's lim x→0 lim X→0 Rule to find the following limit. 3 sin (x) - 3x 3 4x³ 3 sin (x) -…

A: limx→03sin(x)-3x4x3

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A: We need to evaluate the given integral : ∫5x-1311dx

Q: Differentiate the following functions using the power rule. Use positive exponents in each final…

A: Since, you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Its initial temperature is 192 degrees. After exactly 9 minutes, it has cooled to 155 degrees.…

A: I am attaching an image so that you understand each and every step.

Q: → → Find the dot product between vectors a and b, given →→ →→ → d=3i-jandb=2i+j+4k

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Q: Use Newton's method to find an approximate solution of In (x) = 5-x. Start with x = 2 and find x₂.…

A: Given: lnx=5-x x0=2   We are required to find: x2

Q: The points at which a quadratic equation intersects the x-axis are referred to as:

A: We have to find what the points are called at which a quadratic equation intersects the x-axis.

Q: If (1,7) is both a critical point and a point of inflection for the function 3 2 f(x)=x²- cx² - 3dx²…

A: fx=x4-cx3-3dx2+5x+5

Q: Sand is being poured at 2 m³ / min into a pile that takes shape of a cone. If the height of the cone…

A: Sand is being poured at 2 m3/min into a pile that takes shape of a cone.  If the height of the cone…

Q: At what rate is the angle between a clock's minute and hour hands changing at 5 o'clock in the…

A: At 5 o'clock, the hour hand has moved 5/12 of the way around the clock, or 5/12 * 360 = 150 degrees.…

Q: on a) Consider the graph the graph OF F(x, y) = (y+9)(x-3). At which points tangat prane horizontal?…

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Q: Find dy. y = tan H 4 X + cos(4x)

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Q: Write a recursive rule for the sequence. a_(n)=3n-7

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Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A: The useful formula is: ∫1udu=lnu+C and ∫udu=u22+C

Q: EXAMPLE 2 Prove the following limit. lim 5x - 6 = 14 SOLUTION 1. Preliminary analysis of the problem…

A: we need to find the value of δ such that the given limit is satisfied for any chosen ε.

Q: A company is going to make open-topped boxes out of 14 x 15-inch rectangles of cardboard by cutting…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 5xy-3y². Po(-6,2), A=i-2j…

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Q: ist

A: Given Graph:-

Q: Problem 1. Find the local maximum and minimum values (and their locations) and any saddle point (s)…

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Q: The diagram shown is a regular hexagon. Please label it as ABCDEF. Write each of the following as a…

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Q: For what values of a, m, and b does the function f(x) satisfy the hypotheses of the mean value…

A: f(x)=-5  ,  x=0-x2+x+a,  0<x<1given f(x) satisfy hypothesees of mean value theorem there for…

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: 6. Determine a vector p with |p1=5 such that p is collinear to AB given the points A(3, -7, -1) and…

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. (Enter your…

A: Given : f(x) = x − ln (8x)  on  (12 , 2)   To find : absolute minimum and absolute maximum values of…

Q: Solve the problem. Find an upper bound for Es in estimating ㅇ O 0 옳 ww 1575 { (8x5 - 2x)dx with n =…

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Q: Show that +1=k(k+1). − k=1

A: Explanation of the answer is as follows

Q: 3. If lim[x² -f(x)] = 2, use the Rules of Limits to evaluate lim x-

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: 3x2 + xy + y2 - 37 = 0 for this question, we used the concept of implicit differentiation

Q: trough is 8 ft long and its ends have the shape of isosceles triangles that are 5 ft across at the…

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Q: Find the value of cif Σ (1 + c)=^= 1 n=2

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Q: Let f(x, y, z)= y³z + ln(xy + 1) + ye*. Then the maximum rate of change off at the point A (0, -1,…

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Q: Use l'Hôpital's rule to find the following limit. lim 3x²e-x X→∞ lim 3x²e¯x = (Type an exact…

A: I am attaching an image so that you understand each and every step.

Q: valuate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: Flight of a Rocket The altitude (in feet) of a rocket t s into flight is given by s = f(t) = -t³ +…

A: s=f(t)=-t3+54t2+460t+6