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Q: Consider the parametric equations below.x = t2 - 4y = 5 - 2t-3 ≤ t ≤ 4(a) Sketch the curve by using ...

A: Make a table of t,x,y. Pick random values for t between -3 to 4. Then find x and y for those ts.

Q: For the solids of revolution, how do I know when to add or subtract from the axis of revolution such...

A: For the solids of revolution, find the volume using disk, washer and cylindrical shell method.

Q: Finding a Polynomial Find a third degree polynomia p(x) that is tangent to the line y = 14x - 13 at ...

A: Let p(x) = ax^3 + bx^2 + cx + dThis passes through (1,1) and (-1,-3) . For (1,1), x=1 and y=1. For ...

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

A: You have asked two unrelated questions in the same post. I will address all the sub parts of the fi...

Q: I am studying for a precalculus exam and I need help with this problem because i am stuck.

A: Given

Q: Find the vertical and horizontal asymptotes. Find the intervals of increase or decrease. Find th...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: For each of the following accounts, determine the percent change per compounding period. Give your a...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Answer the following questions about the function whose derivative is f′(x)=(x+2)e^-x.Assume the do...

A: for increasing and decreasing the function.

Q: Problem 4: (a) Let f(x) = V+ x + 1 - Va4- 1. Show that f(x) = 0 has a solution. (b) Draw the graph o...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: Find the area of the region enclosed by one loop of the curve. r=sin(8theta)

A: Draw the given curve as shown below.

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: at time t the position of a body moving along the s-axis is given by s=t^3-6t^2+9t (in meters and se...

A: To determine:Part a) The time t when the velocity is zero.Part b) Acceleration of the body when the ...

Q: Find the complementary and supplementary angles. 25°28'39"

A: Given angle

Q: Can you please do problem 3.

A: Let the number of Euros be represented by e and pounds by p.Given each euro is $1.20 and pound is $1...

Q: find any x-values where the tangent to the curve is horizontal, where y=x^3-6x^2+9x+1

A: The given equation of curve is,

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

A: Consider the given parabola.

Q: A rock is thrown upward from a bridge into a river below. The function f(t)=−16t2+44t+88 determines ...

A: It is given that the function f(t) = -16t2+44t+88 determines the height of the rock above the surfac...

Q: The question says: "A pair of parametric equations is given. a.) Sketch the curve represented by the...

A: The pair of equations has a common parameter t in them. Use the second expression to express t in te...

Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...

A: We are given that we must create a block of ice with the following strict requirements:The volume mu...

Q: Use integration by parts to evaluate the integral. 6 3 e cos x dk 0

A: Given integral is

Q: I don't know how to start to solve this. The "vertex" of the graph of a quadratic function is the ...

A: Before we get into this question, we need to understad what the vertex is. Plese see the graphs on t...

Q: Solve each equation. Leave the answer in exact form OR round to 3 decimal places. 5. 5e2x-3 8 = 37 b...

A: a.

Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: 1 0 -1 1. For what values of x does the function f have a local maximum on (0,8)? Answer (separate b...

A: Functions can have "hills and valleys": places where they reach a minimum or maximum value. It may n...

Q: for this problem in the answer it says, cos^-1 (1/2)= pi/3,-pi/3. Why is that? Why did they go count...

A: According to question

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

A: The given function is

Q: HELP ME BEFORE 11:59pm

A: Given,

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

A: From the given information, the paint sales model is S(x) = 597.3 (0.9214x + 12). Where x be the cos...

Q: Find the absolute maximum and minimum values of the following function on the given interval. If the...

A: The given function is,

Q: Evaluate the indefinite integral -10 sin (x) cos(x) dx +C

A: Given:

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: Use the given graph of the functionf to answer the following questions 10 1

A: Click to see the answer

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

A: Part (a): Let’s consider two function g(x) = 9x5 and h(x) = 3x2 + 2 (g o h) (x) = g(h(x)) = g (3x2 +...

Q: Find ∂z / ∂v using the chain rule if z = sin(x/y), x = ln(u), and y = v. Put the answer in terms of ...

A: Firstly, we find partial derivative of z with respect to x and y, partial derivative of x with respe...

Q: 1 and e is in Quadrant III, find tan(0) cot(0) 3 If cos(e) csc(e)

A: Given,

Q: 18. Suppose that P dollars in principal is invested in an account earning 2.1% interest compounded c...

A: a) From given, r = 2.1 %, t = 2 years and A = $193.03 + P.Find the principal.

Q: Optimization: A family wants to build a fence in their backyard for their dogs. If they can only aff...

A: Click to see the answer

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series ...

A: The given function is,

Q: Consider the following g(x) = 8e5.5x, h(x) = 8(6.5*) Find the derivative for f(x) g(x) h(x) f'(x) =

A: The given values are,

Q: I need help with question 21 in Section 3.11, page 264, of the James Stewart Calculus Eighth Edition...

A: Given,

Q: The marketing division of a large firm has found that it can model the sales generated by an adverti...

A: From the given information, it is observed that the aim is to find the ds/dx at the point x = 16.

Q: Suppose we want to know the area of a region that is bounded by the graph of F(X)=1/2x+2 and the x-a...

A: Consider the given curves.

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

A: Let x and y be the base and height of the rectangle, respectively.Given that, the rectangle is const...

Q: Find the partial derivatives, fx and fy, for f(x, y) = 8x^2 − 6xy^2 + 3y + 21.

A: Given: -

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the limi...

A: Click to see the answer

Q: If f'(1) = 1, f(2) = 3, f'(2) = -3, f'(4) = 10, g(1)= 4, g'(1) = 2, find (f o g)'(1) and (f(xg(x)))'...

A: Apply chain rule on to find (fog)'(1)then plug the given values. Answer: (fog)'(1) = 20

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

A: Given function is

Q: if x1 Let f(x) mx b if x > 1 Find the values of m and 6 that make f(x) differentiable. т

A: Given :

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

A: The given composite function is,

Q: Use the definition if the derivative to find dy/dx for the function y=1+×/3x

A: To determine the derivative of given function by using the definition.