Compute the derivative of the function y = 5 sin-'(x) at the point x = (Use symbolic notation and fractions where needed.) (-;) -

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Q: dy Which of the following is the general solution to the differential equation dx e x+ In x = C y ex...

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Q: he differential equation (8 – r²)dr = %3D r² (1n (;) – = 0 cos cos = 0 (r+ 4) (in (;) –

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Q: Find the derivative of: y=x^(7sin(x)). (x>0).

A: Multiplication rule of derivative is used.

Q: 1 dx x/1+ x6

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Q: Find the area in the first quadrant that is inside the circle r = 4 sin 0 and outside the lemniscate...

A: We need to find area.   NOTE - As per our guidelines we can solve one question so please upload othe...

Q: An object moves along the a-axis, its position at each time t > 0 is given by æ(t) = t" 3 4 +t. Dete...

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Q: 3) Natalie works as a playground supervisor for 8 weeks during the summer at a rate of $15.27/h. She...

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Q: Use technology to evaluate the given expression. Take 1.5 7.9 1.4 -2.32 5.4 and B = 5.8 0 A = \ 44.4...

A: A=1.4-2.325.444.4012.8AT=1.444.4-2.3205.412.8B=1.57.95.805.46.94.2B=4.2×1.54.2×7.94.2×5.84.2×04.2×5....

Q: The curve y = f(x) has a y – intercept of 3. The tangent to this curve at the point (x, y) has an x ...

A: Based on x and y intercept value we will find out equation of the graph. 

Q: An alternating series is one whose terms alternate between even and odd.

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Q: Given the: 7(t) = (cos (3t), 4t, sin (3t)) Find the folowing: show complete solution a. unit tangent...

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Q: Use logarithmic differentiation to find the derivative of the following: 8. h(x) = 25x34x² ans. h'(x...

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Q: 14-16 Show that the series is convergent. How many terms of the series do we need to add in order to...

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Q: uate lim t→+∞\ 3t2 + 2

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Q: dt dx 3. 6x – x² 4. sin xV1 XN Cos xdx 3x 5. 1-2e3*) 6. dx

A: We solve only 4th question.  Let 1-cos(x) =t 

Q: S(x+ )´ dx 2 1 X X.

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Q: X+ 4x + 3

A: Given query is to eveluate the integral.

Q: dx V4x – x2

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Q: If f(x,y,z) = z In(x²ycosz): then fz is

A: Here, the given function is: f(x,y,z)=z ln(x2ycos z) Using the properties of the natural logarithm: ...

Q: 2- 1- -4 -3 -21 0 2 3 Graph of f The function fis continuous for -4 <x <4. The graph of f shown abov...

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Q: Let {xn} be a bounded sequence on R. Show that Xn lim = 0. n→+∞ N

A: Given sequence {xn} is bounded we want to show that  limn→+∞xnn=0 we  use the limit limn→∞1n=0

Q: a. As x approaches -1, f(x) approaches what value on the first table? On the second table? b. Do the...

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Q: Suppose Gavriel's utility depends on the amount of time spent playing on Xbox (X) and the amount of ...

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Q: Please answer. Numbers, holes, and shaded circles should be clearly seen. For each specified discon...

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Q: Find the solution of the given initial value problem. cos t y%3D t 1 y' y(T) = 0, t >0 - t-1 y(t)

A: The given equation is; y'-y/t =cost/t-1; y(π)=0.

Q: Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a.  o...

A: 4 Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a. ...

Q: Instruction: Show complete şolutions. 8. Given f(x, y, z) = sin(xyz). Show that 1 1 y2 fyfz = -yz. -...

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Q: A trough is 3 m long, 5 m wide, and 4 m deep. The vertical cross-section of the trough parallel to a...

A: Base on the general formula of the work we will calculate the total work required for pumping fluid ...

Q: Differentiate the following inverse trigonometric functions : 1) y =-2 sin-1x 2) s (t) = - cos-1 t

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Q: 2 x y ey + y² e*v° +1) dæ + (æ² e**v +2 x y e" ° – 2 y) dy = 0

A: We have to solve given differential equation.

Q: solve for nonbermagnenous difleemrial equation.

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Q: Find 7(t)dt if 7(t) = (2 cos t, sin t, 2t). A. (2-1.) B. (2.0,) c. (2.1) D. (2.2. ) 2, –1, 2,0, E. n...

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Q: A point (5, - 1) on the terminal side of an angle 0 is given. Find the exact value of sec 0. 2/6 3/2...

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Q: X-1 2. Complete the following tables of values to investigate lim X→-1 x+1 f(x) f(x) - 1 -1 - 0.8 - ...

A: Complete table:           For (a), In both of that tables the value of f(x) when x approaches -1 i...

Q: ax²ª (x2a+1)°dx

A: Given,           ∫ax2ax2a+13xdx

Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

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Q: В. up to 6 decimal place. Then, answer the corresponding question in each number. Evaluate the follo...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Estimate f′(2) for f(x)=6^x. Be sure your answer is accurate to within 0.1 of the actual value

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Q: There is a jump discontinuity at x = 1 and lim f(x) = 1

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Q: Given the series: 1. k+3 does this series converge or diverge? diverges converges If the series conv...

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. in an = sin (Use...

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Q: If f(x, y) = x cos y + ye", find dydx

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Q: 16

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Q: 1. Is the following expression a scalar, vector or meaningless? lä|ab

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Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

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Q: use Substitution method to schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: We have to solve it by substitution method. 

Q: Determine the values of r for which the differential equation y" 36y = 0 has solutions of the form y...

A: Given:       Differential equation y''-36y=0       The differential equation has the form           ...

Q: -1 4x° sec x dx

A: In this question we will use basic concepts of calculus i.e concepts of indefinite integration. We w...

Q: -5x + cos (9x) – 1 Evaluate lim 2x Submit an exact answer.

A: To Evaluatelimx→0-5x+cos(9x)-12x