Find a set of equations to represent the graph of the rectangular equation using t=x and t=2-x. y= 4x-2 (a) t=x (b) t=2-x

Q: 2. Use the guidelines to sketch the curve. Y In x x²

A: The given function is: y=ln xx2 Note that the domain of the function is (0,∞). First of all, let's…

Q: Solve the optimization problem. F = Minimize F = 11x² + 11y² with xy² = 16.

A: Given problem:- Solve the optimization problem.   Minimize F = 11x2 + 11y2 with xy2 = 16

Q: Determine if y=5 cos x and x=31²-5t+3 dx

A: Given,             y=5cosx , x=3t2-5t+3To find : Determine dydt

Q: 5. Use spherical coordinates to evaluate [[[ (x² + y² + 2²) ² dv D where D is the solid hemisphere…

A:

Q: Let 0 = tan-¹ (-3), then tan0 = and is in quadrant Now use trig identities to find the other 5…

A: Given problem:-

Q: дz State the multi-variable chain rule for du z=z(t, s), t=t(u, v, w), s=s(u, v, w) if

A:

Q: Caitlyn wants to enclose a rectangular field with two internal partitions as shown. If the area of…

A: Given problem:- Caitlyn wants to enclose a rectangular field with two internal partitions as shown.…

Q: y = (In x) x , find dy/dx. Oy y' = (In x)* (1 + ln x) O y' = (In x)*¹ [1 + x (ln x) (ln ln x)] O (E)…

A:

Q: Consider the following system of linear equations 4 4 -2 30 1 0 18-0 7 -2 -3 2 -18 Which one, among…

A:

Q: Question 1 Find the average rate of change of g(x) = 5x³-2 from z = -1 to z = 4.

A: Given the query is to find the the average rate of change for the function.

Q: a) lim f(x) 2-0- c) lim f(x) e) lim f(x) 4 3 2 1- 0 + -1- Š 4 b) lim f(x) 2-0+ d) f(0) f) lim f(x)

A: a) limx→0-f(x)=-∞b)  limx→0+f(x)=2c) limx→0f(x)=Does not existd) f(0)=2

Q: Use the method of Laplace transforms to solve (O) 0 (0) 0.

A:

Q: / x³ + x²+2x+1 (x² + 1)(x² + 2) dr

A:

Q: Given f(x)= (b) 4x+3x² - 6x. Find All critical points of f(x) The interval on which f(x) is…

A:

Q: Question 4 > Find the domain and range of the function graphed below. -5-4-3 1 2 3 4 5 52 Domain:…

A:

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A:

Q: So whats the answer

A: The question asked for the function f or ft. The last line was the answer.

Q: the slope intercept equation of a line that passes through (0,-6) and (3,-4) is

A: Given points are (0,-6) and (3,-4)and here (0,-6) is (x1,y1) and (3,-4) is (x2,y2)We know the slope…

Q: Previous Problem Problem List Next Problem Solve the following equation in the interval [0, 2 π].…

A:

Q: Apply the first derivative test to indentify all relative extrema. (b) f(x)=x²-2+1 (c) f(x) = cos²…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: du (u² + a²)² √

A:

Q: The population of elk in a national park is given by the function 1000 P(t) = 1+15e-3t where t is…

A: This question can be solved using the concept of differentiation and limits.

Q: Find the value of the angle A that produces the triangle with a maximum area if the diameter of the…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min.…

A:

Q: 4 3 2 +..

A:

Q: Select all of the following tables which represent y as a function of and are one-to-one. I 5 8 8 Y…

A: Given query is to find which function is one to one.

Q: 4. What is the SECOND derivative of the given function? * y = 3x³ - 2x² + x - √ y" =9x² - 4x + 1 y"…

A:

Q: The base of a the y-axis are triangles with the height equal to 2. Algebraically, find the area of…

A:

Q: 2. Evaluate -π/4 Is -π/4 sinx cosx dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: dx If z² = x³ + y², = -3, dy dt dt Please give an exact answer. Provide your answer below: - - 2,…

A: Answer is in step 2.

Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

A:

Q: Find the area of the shaded region. r = 4 + 3 sin 0

A:

Q: fx,y) xyy2 x3+y3 (x,y) + (0,0) 0 (x,y) = (0,0)

A:

Q: The base of a three-dimensional figure is bound by the line y = √x + 2 on the interval [-1, 1].…

A: We have to find the volume of bounded region in the interval [-1,1].

Q: 1/(x) = ² x ³² - 2² x ³² + 4x +4x. Find 12. Given the function All critical points of f(x) (b) The…

A: f(x)=13x3-52x2+4xa) Differentiatef'(x)=13.3x2-52.2x+4f'(x)=x2-5x+4For critical points…

Q: 82. lim (1 + 10)²

A: Explanation of the answer is as follows

Q: The velocity of a particle moving in a straight line is given by v(t) = t² + 4. (a) Find an…

A:

Q: 55. f(x) = x² + cos ¹x on [-1, 1]

A:

Q: An isoceles right triangle with legs of length s has area A=1/2s^2.  At the instant when s=sqrt 32…

A:

Q: 3) f(x, y, z)=x² + y² -2=²+ = ln(x). (1,1,1) -1/2 4) ƒ(x, y, z)=(x² + y² + =²)¯¹¹² +ln(xyz),…

A: 3)    fx,y,z=x2+y2-2z2+zlnx We have,       grad∅=∇f=i∂f∂x+j∂f∂y+k∂f∂z ∂f∂x=2x+zx ∂f∂y=2y…

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

A:

Q: Determine whether an exponential function, a logarithmic function, or a linear function is the best…

A: Given the query is to find the best fit function.

Q: 3. Let h = f(t) be your height (in meters) above the ground while riding a Ferris wheel. The Ferris…

A: Given that the wheel complete one revolution in 8 minutes.

Q: 12. 13. 14. √2+6-√√6 Т lim I-0 LIMIT VALUE: lim 2-1 LIMIT VALUE: Т lim 3 2-8 V 11-2z LIMIT VALUE:…

A: limx→a f(x) =L if and only if limx→a+ f(x) =limx→a- f(x) .

Q: Evaluate the definite integral. J01(e 20t i+e-t j+t k)dt e 20-120 i-(e-1-1) j+12 k e 20-120-(e-1-1)…

A:

Q: 1. Consider the graph of f shown below. Using geometry (areas of rectangles and triangles),…

A:

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

A:

Q: Admission to a baseball game is $⁢2.50 for general admission and $4.50 for reserved seats. The…

A: Given Admission to baseball game is $2.5 for general admission and $4.5 for reserved seatsThe…

Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

A: Here we have to find the root by newtons method.