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Q: Find the area of the region enclosed by one loop of the curve. 18. r^2 = 4cos2(theta)

A: Refer to the question we need to find the area of the region enclosed by one loop of the curve.

Q: Let D(x be the demand (in units) for a new product when the price is x dollars. (a) Write sentences ...

A: (a)

Q: please answer question 19

A: Consider a function f(x)=2x+cosxWhen 2x+cosx=0 then f(x)=0f(x)=0 occurs at x intercept.

Q: Can you help me with this problem step by step?

A: Click to see the answer

Q: Suppose that f(5) = 1, f '(5) = 9, g(5) = −5, and g'(5) = 2. Find the following values. (a) (fg)'...

A: Click to see the answer

Q: 65. Two runners start a race at the same time and finish in a tie. Prove that at some time during th...

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Q: Can you help with this problem step by step?

A: Given function is

Q: Problem 2 part A, B, and C

A: As per norms, three aspects of the question are answered. It is adivisable post multiplie parts sepa...

Q: Let f (x) = x1/3(8x + 12)2/3. Find f ' (x) and the critical numbers for f.f ' (x) = (Ax+B)/3x^c(8x...

A: Use product rule to find the derivative. Use chain rule for (8x+12).

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: Given,

Q: Between 2000 and 2010, the Phillips curve for the U.S. unemployment rate u and the Consumer Price In...

A: Differentiate I with respect to u

Q: Find the direction f(x,y) increases and decreases most rapidly at point P and find the derivatives o...

A: Consider the given function.

Q: Can I get help with this problem step by step?

A: Consider the given parabola.

Q: How do you get the derivative of (6-18x^2)/((1+3x^2)^2)?

A: Given function is

Q: Can you help me with this problem step by step?

A: Consider the function f(t) = 12t - t3 in the interval [-3, ∞).

Q: If a ball is thrown vertically upward from the roof of 4848 foot building with a velocity of 6464 ft...

A: s(t) = 48 + 64t - 16t2Hence, s’(t) = 64 – 32ts”(t) = - 32When s is maximum, s’(t) = 0; hence 64 – 32...

Q: Can I get help with this problem step by step?

A: The gives figure is shown below:

Q: if sin(0)=-7/25 with 0 quadrant IV, what is cos(0)?

A: Given

Q: find the critical points:

A: Given function is and the interval isThe critical points of a function are obtained when the first ...

Q: Find the maximum and minimum values of the function y = 4 cos(0) 7 sin(e) on the interval [0, 2x] by...

A: Compute the critical points as follows.

Q: Find the radian measures that correspond to the degree measures 260° and −155°. (I really just need ...

A: Click to see the answer

Q: Any number minus itself is 0. Explain why a ∞−∞ limit isn’t necessarily 0. (a) Why doesn’t the idea ...

A: given

Q: Write the equation in spherical coordinates. 2x2 - 3х + 2y2+ 22? (a) = 0 3p(p sin(p)cos (0)) 2 2х + ...

A: Consider the following spherical coordinates.

Q: f(x)=(2x^3)-(15x^2)-36x+7 on the interval [-6,9]. Find the average or mean slope on this interval. B...

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Q: see attachment

A: The polar coordinates are,

Q: Solve. (4^x)^2-2(4^x)-1=0

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Q: My Notes At 8 P.M. an oil tanker traveling west in the ocean at 16 kilometers per hour passes t...

A: Oil tanker is at the origin at 8 pm travelling west at 16 kmh. So if we assume x axis to be pointed ...

Q: Differentiate. f(x) = x2 sin(x)

A: To determine the derivative of the function.

Q: indefinite integral of (7 + ex) dx

A: Consider the given indefinite integral:

Q: see attachment

A: So the vector w is

Q: see attachment

A: Simplify the argument to find the exact value

Q: Find the equation of the tangent line to the curve at the given point using implicit differentiation...

A: To determine the equation of tangent line to the given curve at point (1, 0).

Q: The sales of Sherwin-Williams paint in different regional markets depends on several input variables...

A: Part (a)s(x) = 597.3(0.9214x + 12)Given, x = 45 cents = 0.45 dollarss(x = 0.45) = 597.3(0.9214 x 0.4...

Q: lo eTTIoprvars ruc, -too 42 3r (c) Use the substitution rule to show that lim0 f(x) = lim^0+ f() and...

A: Given

Q: 17. Find the exact area of the surface z = 1 + 2x + 3y + 4y2, 1x 4, 0 y < 1

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Q: check my answer 5x+3y=-6 x=3 2x-3y=27 y=-7

A: Given system of equations are

Q: Can you help with this problem step by step?

A: The problem is concerned with the critical points (maximum, minimum) of the given graph

Q: Can you help me with this problem step by step?

A: Consider the given derivative function.

Q: I am studying for a precalc exam. Could you explain how to find the inverse of a function such as: ...

A: Plug g(x)=y , then switch x and y.

Q: Use a graph of to estimate the maximum and minimum values. Then find the exact values. Estimate th...

A: Please see the graph on white board. The maxima is infinity and minima is 0.

Q: I need help with question 39 in Section 4.1, page 284, of the James Stewart Calculus Eighth Edition ...

A: At first let us find the derivative of the function:

Q: see attachment

A: Factor out 2.

Q: Find the solution of the differential equation dy/dx=x/y that satisfies the initial condition y(0)=−...

A: Given a differential equation and an initial condition,

Q: Find the linear approximation to the function. x2 f(x + Δx) ≈ Evaluate it at the given va...

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Q: Can I get help with this problem step by step?

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: I need help working this problem. I get stuck at this point. I think my algebra is failing with the ...

A: Given function: m(t)=2/(t-1)

Q: The position of an object in circular motion is modeled by the given parametric equations. Describe ...

A: The two parametric equations are, x=2sint and y=2costFor calculating the radius of the circle, we us...

Q: 2. Microtutorial eled by the equation The Pacific halibut fishery has been mod- 8 x 107 B(t) 11 1 +3...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Can you help me with this problem step by step?

A: Click to see the answer

Q: 4+3t t 130000 6-t Find Notes: Enter "DNE" if limit Does Not Exist (a) lim g(t) 1 t->-oo (b) lim g(t...

A: Given function is