Given the function f(x, y, z) = z ln(x + 2) + following and simplify your answers. a b) fry cos(x - 1) y -. Find the

Q: Problem. Suppose you are having a dinner party for a large group of people, and you decide to make 2…

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Q: Assume the acceleration due to gravity is -32 ft/s². A ball is thrown vertically upwards from a…

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Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 07 s.u. 9 9 s.u. 01 S.U. 2 S.U.

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 8 [+][…

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Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: The total cost of producing a radio sets per day is $(²+35x + 25), and the price per set at which…

A: We have to find daily output to obtain a maximum total profit

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A: The given function,       3x2+y3=2y2-x3y

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Q: Find the critical points of f(x) = x³ - 24x² + 144x and use the Second Derivative Test (if possible)…

A: Solution of given question is written in below steps.

Q: The cylindrical shell method is to be used to compute the volume of the solid generated by revolving…

A: Volume

Q: what is half of 3 and how

A: We can solve this as follows:

Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x (x²-3x-4)dx (5+…

A: The given region are:y=x+4 and y=x2-2xTo find the area.

Q: 3. Let R(t) = (t²,1 — t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

A: Given

Q: - Find the value of x of which the function f(x) = O a. none of these O b. 1 OC -1 O d. -3 Oe. 3 2-8…

A: Given:f(x)=12x-8

Q: The value of x for which the series - n³(x-3)" OA. 2<x<3 or 3<x<4. O B.2<x<3 or 3<x< 4. OC. 2<x<4. O…

A: We need to find value of x.

Q: (D^5-3D^4+8D^3+16D^2-9D-13)y=0 nonhomogeneous undetermined coefficients

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Q: Find the derivative of the following using the differentiation rules. (x²-2x) (In x³-3 tan x) x√x y

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Q: an f (b) For a positive integer n, find the n-th partial " azn derivative off with respect to z, for…

A: Solved below.

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

A: we know the work needed to stretch the spring W=12kx2 where x is the elongation. x=xf-xi=45-30=15…

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A: Let's find revenue function.

Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element. A…

A: Using vertical element form a double integral then solve it

Q: Find the area bounded by each of the following curves. Draw a graph and show complete solutions.…

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Q: 1 f²2² ²¹ (x+y+z)dxdzdy 0 0

A: This question can be solved using the concept of evaluating triple integrals.

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Q: 3 s cos³x + 8sin x cos²x 20652x basin ²x dx;cosx 0

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Q: Part I: PARAMETRIC EQUATIONS. Find the second derivative of y the curve and draw the tangent line…

A: First derivate with respect to t then derivate with respect to x to get desired result

Q: Given: region R below bounded by the graphs of y = √x - 3, y = 9 - x, and y = 0. /x- (7,2) R (3,0)…

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Q: 2. Consider the vector-valued function R(t): Show that is continuous at t = 1. 1-t² Į (₁²-1₁…

A: Consider the vector‐valued functionR→t=e1-t, 1-t21-t3, ln2-t,  if -1&lt;t&lt;1t, 0,  t-1, if t≥1to…

Q: If the product of two positive numbers is 300, Minimize the sum of the second number and thrice of…

A: To find out the numbers.

Q: 1 Evaluate the given limit of the following: lim [(x² - In(x + 1)) cotx] x-0

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Q: Set-up the integral using horizontal element for the volume of the solid obtained by rotating the…

A: We have to find volume about y=-1

Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: ate S = Evaluate dx x1/2+x2/31 using rationalizing substitution.

A: solution:-∫1x1/2+x2/3dxput x=y6differentiate both sidesdx=6y5dy

Q: Evaluate the following integral 1. y4+2y²-1 √y dy; y to 2. f(−4t + 12) (5t +15)dt

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Q: Consider the following differential equation: dy : 2xy² dx i. Use the method of separation of…

A: using method of separation

Q: Find all points on the curve y = x³ + 2x² - 6x + 5 where the tangent is parallel to the line 2x + y…

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Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x S^(-x²+3x+4) dx -1…

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Q: 3. 5. -4 क्य 4. Vo. X= ++ x = -3 2 * 20

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Q: Ten ostriches were introduced to the Zoobic Safari Adventure Park 10 years ago. To date, let us say…

A: It is exponential growth function.

Q: The volume generated when the region bounded by y = x, y = 1, x = 0 is rotated about x axis is -

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Q: Suppose that 2x² - y² = t² and x = t cos 0. Find (a). ¹(2), X and 0

A: answer is in next step

Q: Find the area bounded by the curve x = y^2 + 2y and the line x = 4.   *Draw/Plot the diagram for…

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Q: 5. Given the Standard Equation the DE, Identify the roots * d²y d³ y dx³ dx² + dx - 2- m: 1+ √2,0…

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Q: 4. Find the length of the curve defined by Ŕ(t) = (3t+1, 4t³/2, 4 - 3t²) from the point (1,0, 4) to…

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Q: 9. A horizontal cylindrical tank 4 ft in diameter and 10 ft long is full of water. Find the work…

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Q: Evaluate the integral S cos ³ x + 8 sin x cos³² x + 6s in ² x dx; cosx #0 2 cos²x

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Q: .729 Using Rationalizing Substitution 6 6y² +6y+6+ y-1 5 5y +5+ y-1 6y+6+ 6 y-1 1 y²(y-1) dx 64…

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Q: termine the derivative of the following implicit function on a separate sheet paper, assuming that…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: find out the derivative of the function.

Q: Set-up the integral using horizontal element for the volume of the solid obtained by rotating the…

A: fristly given curve are simplyfy and diagram curve then use for shell method