1/4 Given glx)= 10x" cosx + 7sinx, find g"(x)

Q: 1 for convergence, you can use the P-test. (You could also use the Integral Test, as To test the ser...

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Q: If y = Eo(k + 1)z*+3 then y' = .

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Q: Evaluate the following integral where S is the closed surface bounded by the graphs of x = 2, z = 9 ...

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Q: For the curve x (t) = t², y (t) =t³ – 3t Given the curve crosses itself at (3, 0), a) Find the point...

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: Here we have to maximize the area.

Q: Consider the series 11 Determine whether the series converges, and if it converges, determine its va...

A: Use the ratio test for checking the convergence of series.

Q: Evaluate the integral using the following values. '3 '3 x3 dx = 20, х dx %3D 4, dx = 2 1 '1 x dx 13

A: We can find the answer as below.

Q: 8) 20 objects are arranged into a 5-by-4 matrix as follows: 12 13 14 15 11 22 23 24 25 21 31 32 33 3...

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Q: A polynomial f (x) and one of its zeros are given. Find all the zeros. 3) f(x) = x* - 6x + &? + 30x ...

A: We have to find roots of polynomial

Q: n one of the warehouses of a construction firm, cement is being released from an elevated storage bi...

A: Volume of cone=13πr2hRatio of diameter and height is 1:1Dh=11h=DVolume of cone=13πD22DV=112πD3 ...(1...

Q: For each differential equation in Problems 1–21, find the general solution by finding the homogeneou...

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Q: q1

A: We have to find out Eigen values

Q: Ĵ3xco0s(4–x²)–8xV4-x° dx

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Q: Suppose you know the following: f( – 3) = 4 f'(- 3) = 5 • f'(x) is continuous for all a Find the fol...

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Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising expend...

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Q: Find Partial Derivatives for z = sin(x)cos(xy)

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Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact tha...

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Q: Evaluate the integral. X-7 dx X-7 dx = 8 %3D

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Q: x+6 7)

A: Given problem:- (x+6)/(x-1) >0 Solve the given inequality

Q: Let h(x, y) = , x = 8t t2, y = 7tt2. %3D Use the Chain Rule to calculate the partial derivative. (Us...

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Q: Explain why the function is differentiable at the given point. f(x, y) = x*e", (1, 0) The partial de...

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Q: Directions: Evaluate the following limits. 1. lim(In (2x – 9)) 2. lim (tan-)

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Q: Evaluate the following integral using partial fractions: x - 1 dx x3 + 2x2 – x- 2

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Q: n Cos 3n (g) 2 1+ (1.2)" n=1 n ( 1 ) Σ (h) (1+2n²)" n=1 n 1. 3.5. .... (2n – 1) (i) - 5nn! n=1

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Q: r(x)=1/2x   Step 2 of 2 :  Find two points on the graph of this function, other than the origin, t...

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Q: vector. 19. —3і + 7j 20. (-4, 2, 4) 21. 8i – j + 4k |

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Q: Evaluate the following integral using partial fractions: 2x2 + 1 (x – 1)(x - 2)(x - 3)

A: Topic:- integration

Q: Find all values of x for which the series converges. (Enter your answer using interval notation n X ...

A: Since multiple questions are asked, I am answering the first question only.

Q: (d) lim sinh(x) X+ -00 (e) lim sech(x) X+ 00 (f) lim coth(x) X+ 00 (9) lim coth(x) (h) lim coth(x) (...

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Q: Use the chain rule to find the indicated partial derivatives. w = xy + yz + zx, x = r cos(0), y = r ...

A: We have to find out derivative

Q: Compute the directional derivative in the direction of v at the given point. f(x, y) = exy=y, v = (1...

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Q: Find dy/dx for the function. x2 + 8x + y2 – 7y + 1 = 0 dy dx

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Q: Represent the function 5 In(10 – x) as a power series (Maclaurin series) f(x) = L Cnt" n=0 Co C1 C2 ...

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Q: OA rectangular field is enclosed by on Four sides by a fence. Fencing costs foot för two opposite si...

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Q: P = (3,7, 3) Q=(9,1,8) Find M, the midpoint of PQ: %3D

A: P=3, 7, 3Q=9, 1, 8To find M, the midpoint of PQ.M=?  

Q: Express the following series as a telescoping sum and evaluate its nth partial sum. 2n+1 06. E (Hint...

A: We can solve as follows

Q: For the following functions, find: 1. the critical values of the first derivative 2. the intervals w...

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Q: Find the rectangular coordinates of the point whose cylindrical coordinates are given. a) (3, pi, e...

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Q: Use logarithmic differentiation to find the derivative of the function. y = x4 sin(x)

A: We know that logrithm property is  ln(xm) = mln(x) And derivatives of d(lnx)/dx  = 1/x    Here i att...

Q: Find the average rate of change of the function over the given interval. (Round your answer to three...

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Q: Read and analyze the following problem. All answers must be written in a GRAPHING PAPER Rubrics belo...

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Q: (3) Find a degree-4 polynomial that has integer coefficients and zeros v3 and 2i (A) P(x) = (x² – 3)...

A: We are asked to find the polynomial

Q: If f(x) = 3x2 – 3x – 25, find f'(x). %3D - f'(x) = Find f'(1). f'(1) = %3D

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Q: Suppose that a fruit stand exclusively sells apples and oranges. If the owner puts x apples and y or...

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Q: 4ln? (x) dx

A: I have stated the used formulas in the solution

Q: HOMEWORK LG Solve the given initial-value problems. 4.43. xe* dx + (y - 1)dy 0; y(0) =0 4.44. y(3) =...

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Q: Find the derivative of the function. g(x) = sin 9 + ex g'(x) Need Help? Read It

A: Solution:

Q: valuate the given integral by changing to polar coordinates. || sin(x² + y2) dA, where R is the regi...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(2, 8...

A: Formula to find directional derivative of the function F at a point P(x,y,z) in the of a unit vector...

Q: 1. The number of accidents (y) in millions for drivers of age (x) was predicted by an insurance comp...

A: Solution of question is written in below steps.