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Q: Find the exact length of the curve described by the parametric equations. x = 7+ 3t², y = 7+ 2+³, 0…

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Q: Animal feed is to be made from corn and mixed seeds. One pound of corn has 30 units of fat and 20…

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Q: (b) Find parametric equations that represent the line segment from (-1, 7) to (1, 3) for 0 ≤t≤ 1.…

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Q: 1. Determine if each series is convergent or divergent. If it is convergent, find the sum of the…

A: To determine whether each of the following series is convergent or divergent. If it is convergent,…

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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Q: Hey can you help me with this question

A: The objective of the question is to find the values of x for which the given series converges and to…

Q: Evaluate the line integral [ z²dx + x²dy + y²dz, where C is the line segment from (−1, −1, −1) to…

A: We have line integral(Z2dx+X2dy+Y2dz) Over curve C Where C is the line segment from (-1,-1,-1) to…

Q: x²+5 g(x): if = x+8 *x*-8 ; g(5) x-1 if x=-8

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Q: We begin by finding the EL equation for the auxiliary functional S[y] = = - S₁ 12 dx (xy2+ Ay - λy)…

A: Please see the attached image for an explanation. Thanks.Explanation:

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Q: 1. Explain how you can solve the equation graphically, then provide the solution. Algebraic…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e⁹x + e-x (a) Find the…

A: Given: To Find: (a) To find the intervals on which f is increasing and decreasing.(b) To find the…

Q: Due Friday by 11:59pm Points 18 Submitting an external tool Homework 7.3 Area and the Definite…

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Q: Find the area of the region lying between the loops of =2+4sine. Select one: ○ a. 4(√3+2π) O b.…

A: The area is:A=4(33​+π) The answer is d.Explanation:The given polar function is:r=2+4sinθFirst, let…

Q: 17 16 15 14 13 12 11 10+ 2 46 8 10 12 14 16 18 20 22 The per capita consumption of breakfast cereal…

A: C'(14)=0.331 C'(17)=-0.0575 •The rate was changng more rapdly in 2004. Explanation:Approach to…

Q: Instructions: Sketch the graphs of the following functions. Write neat solutions. Make sure each…

A: Here we have given a function: .

Q: Question 4 Consider the curve 5x²+4xy+4y³ = 29125 (a) Show that P(-75,-5) is on the curve i.e., show…

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Q: Suppose the linear approximation for a function f(x) at a = 2 is given by the tangent line y = −2x +…

A: The objective of this question is to find the values of f(2) and f'(2) for a function f(x) given its…

Q: Consider the following function: Step 1 of 4: Determine f'(x) and f "(x). 16x) = -1x-4x-8 f(x)

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Q: Perform the following operations and simplify fully.

A: The objective of this question is to simplify the given expression by combining like terms.

Q: Let ā = - -71 – and 6 = −41 – 57. Find a. b -

A: Required answer is 33Explanation:

Q: Find T and N for the space curve r(t) = (5e' cost) + (5e' sint) j + 7k. T()+(k (Type exact answers,…

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Q: dx/dt=lnx/lnt, solve this differential equation by using integration by parts.

A: ### ConclusionThe direct analytical solution involves advanced functions beyond elementary calculus…

Q: Find f'(x) and simplify. f(x)=7׳ (x² -9)

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Q: 8. Sketch the graph of the function with por and vertical asymptote at x=1 and horizontal asymptote…

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Q: Use the ratio test to decide if the series diverges. 1 converges or nen n=1 NOTE: Enter exact…

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Q: Consider the function x²+2x-1 if x ≤ -1 f(x) = 3/8x 2x+4 3 if − 1 1 (a) To determine whether f is…

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Q: Homework

A: The maximum volume is 3000 cu.cm.Explanation:Consider a rectangular prism:Recall the formula for the…

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A: Given the region is bounded by the curve  and line

Q: The graph of the derivative of a continuous function f is shown. (Assume continues to .) y 4 y-fix 2…

A: As per our guidelines we can answer only 3 subparts of a given question so kindly repost the…

Q: Find к for the space curve r(t)=(12 sin t) + (12 cost) j +9tk. K(t)=[ (Type an exact answer, using…

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Q: 8) In designing a flexible tubing system, the supports for the tubing must be perpendicular y=-4 to…

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Q: Find the following limits

A: The final answer is:The limit does not exist.Explanation:

Q: pre-test post-test Mean Variance -2.25 0.75 9.30 13.30 Observations 12 12 Pearson Correlation 0.9478…

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Q: Find the value of the expression lim 2x2+5x-7 h-2 x-1

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Q: if f(x)= 5 sin to the negative one power ( x to the thrid power) then what is f prime of x

A: The objective of the question is to find the derivative of the function f(x) = 5sin^(-1)(x^3). This…

Q: Use sigma notation to write the sum.

A: Answer is 4Σn=1 = [1-(n/4)2]Explanation:Step 1:Step 2: Step 3: Step 4:

Q: 6 x = x= Find the point of intersection for the lines v(t) = (−7, −7, −9)t + (−3, 1, 3) and w(u) =…

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Q: 3. Use the Chain Rule to find the indicated partial derivatives. (a) w = x² + y² + z², x = st, y = s…

A: Note- As per company guidelines for multiple questions posted we are allowed to solve only one…

Q: Find f'(x) and find the value(s) of x where f'(x) = 0. f(x) = x²+36

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Q: 1.18. Evaluate the sums: n Σκ2 k=1

A: To evaluate the following sum.

Q: Let a (5, 1, 1) and b = (- 5, 1, 2). Find a × b. x V A

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Q: For each of the following tables, complete the table And Answer the questions that fo X Process y 0…

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Q: Let ā = (−4, −5, −3) and 6 = (-5, −4, 4) Find a × 6. V >

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Q: Evaluate S 1 1 70 da exactly and show that the result is Then, find the approximate value of the…

A: To evaluate  exactly and to show that the result is . Then, to find the approximate value of the…