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Q: mat ftoydk = hat f(x)dx: 1 Find the 2 a

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Q: 2. Determine the convergence or divergence of the following series. 00 1 (a) E (Use Integral Test.) ...

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Q: Use the method of shells to find the volume of the solid obtained by revolving the region bounded by...

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

A: limx→∞-4x12+2xApply L-Hospital Rulelimx→∞-42=-2limx→∞-4x12+2x=-2

Q: b. y = (x* + 3)(e**)

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Q: sinx (b) у %3D V1+cosx

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Q: Use the Chain Rule to compute the partial derivative. би +о In (3u? + uv) = 3u + uv

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Q: 2. Find the derivative y' for each function/curve. Once you solve for y', you do not need to simplif...

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Q: A fire truck is to be added to a certain district. Which district should get the Fire truck?   Are...

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Compute the first-order partial derivatives of the function. z = tan (8uv) (Use symbolic notation an...

A: The detailed solution is given below Thank you 

Q: A solid is formed by revolving about the y-axis, the area bounded by the curve x³=y, the y-axis and ...

A: Given: - A solid formed by revolving about the y-axis, the area bounded by the curve x3=y, the y-axi...

Q: 8) A table of values for h(t) on the interval [0, 10] is shown below. Use a left-endpoint rectangle ...

A: Explained below

Q: a 3. x³dx a/x² – 16 + 8 /(x² – 16)8 + C = r2 – 16 4.

A: Solution No. 3 I=∫-10x2x+1dxput    x+1= u , we getI =∫01(u-1)2udu    =∫01(u52-2u32+u)du   =16105=ab

Q: Car 1 is heading due south from Mathtown at a rate of 41 miles per hour. Car 2 is heading due west f...

A: Explanation of the answer is as follows

Q: Suppose that f(x) is a function with f(155)=70 and f′(155)=1. Estimate f(157

A: topic -  line and differentiation 

Q: Let f (x) = ax- 3/12 + 4x². Find the value of a if f' (1) = 16. Enter the value of a in the box and ...

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Q: Find the length of the transverse axis if the length of the semi-transverse axis is 55.

A: This question can be solved if we know the relation between transverse axis and semi transverse axis...

Q: Je sin( -4x)dx 3r Su

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Q: 3x +8 if c 2 %3D 12 if x = 2 Determine whether f(x) is continuous at r 2. If f(x) is not continuous...

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Q: Consider the function f(x) 2x + 3x? 36x 54. - a. Find the first derivative. f'(x) b. List any critic...

A: Given the function f(x) = 2x3 + 3x2 - 36x - 54

Q: The coefficient of Sin(x) in the antiderivative of F(x) =| cos 2 is Blank 1 (use fraction form not d...

A: Find your answer below 

Q: Find grad f, plot some level curves f = constant and indicate grad f by arrows at some points on the...

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Q: 4. a² + 3x – 5+ 3y* – 6y = 7z 5. Gy" – 9r = 8y + 2 – r 6. z - V5r² – 7 = 2r

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Q: The amount A of dollars accumulated after t years through an investment of An dollars at an interest...

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Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular...

A: Find your answer below 

Q: Differentiate f(x) COS (5x). Use exact values. f' (x)

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Q: Given cost and price (demand) functions C(q) = 120q+ 43,000 and p(q) = - 2.1q + 890, what price maxi...

A: We need to find price that maximizes the revenue.

Q: Given cost and price (demand) functions C(q) = 100q + 41,000 and p(g) = - 1.8q + 870, what is the ma...

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Q: ale on your graphs. 1)f(x) = -2", g(x) = 5-2" 2) f(x) = 3", g(x) = -.3" +5 -(*+5) 3) f(x) =". g(x) =...

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Q: S (e3 In = + e3) dx = A. 3 + +C B. + 3e3z + C C. + 3e* +C С. 4 D. + +C 4 e3z E. 주 + + C 3

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Q: ng If C(t) = 49.9t e - 0.25t measures the concentration, in , of a drug in a person's systemt hours ...

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Q: 2. Evaluate the integral x(3 – 5x) (3x – 1)(x – 1)2 dx

A: To solve the following integral

Q: It is determined that the temperature (in degrees Fahrenheit) on a particular summer day between 9:0...

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Q: Determine the derivative of g ( x ) = 3 e-4 x*sin(7 x) with respect to x. = (x), 6

A: As per the guidelines, we need to author the 1st question.  We know that product rule is given by  d...

Q: 00 Several terms of a sequence (an}n = 1 are given below. {1, 8, 64, 512, 4096, ...} a. Find the nex...

A: a) Given Sequence 1,8,64,512,4096 a6 = a5 x 8= 32768 a7 = a6 x 8= 262144      

Q: The domain of the function f(x) = 3* – 4 is (Type your answer in interval notation.) The range of th...

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Q: (a) (2.001)5 (b) V9999

A: Given problems:- Use a linear approximation (or differentials) to estimate the given number a) (2.00...

Q: 1 Find the equation of the tangent line to the curve y = 3 11 5r3 - a2 + 6x – 6 at its point of inte...

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Q: 4. If not, indicate Given the function below, determine if the function is continuous at the point x...

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Q: Use the cross product u ✕ v to find the obtuse angle between vectors u and v, where u = −i + 6j + ...

A: The answer is in step 2.

Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. 0.5 x3 tan 1...

A: Volume of the solid generated by revolving about y-axis :  Suppose that x=f(y) is a continuous non-n...

Q: The integral of x²Inx with respect to x is; r3 A -(Inx – 3) +C 9 B -(3lnx – 1) + C 3 C ( 3lnx + 1) +...

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Q: Compute the first-order partial derivatives. z = 5y* (Express numbers in exact form. Use symbolic no...

A: Given query is to find the indicted derivative.

Q: Given cost and price (demand) functions C(q) = 100q + 41,000 and p(q) = - 2q+ 870, What price should...

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Q: or the graph f(x) find limit of f(x) as x approaches -6 to the left

A: Given query is to find the Indicated limit.  

Q: H.W: Find y, y"and. y" for the fullowing -2X -xe 3- y=a Sin 3X 一ズ 2.y=eInx 4.y= In(Sex. = In (Sex +t...

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Q: Find the exact length of the curve. x = (y^4)/8 + 1/(4y^2) , 1 ≤ y ≤ 2

A: In this question we have to find the length of the curve.

Q: 1 Question 3 Determine whether the series converges or diverges. Be sure to name any test(s) used n(...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Is the function one-to-one?

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Q: 00 Several terms of a sequence fa,} are given below. n 1 {1, 8, 64, 512, 4096, ..} a. Find the next ...

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