Find the exact value of the expression, if it is defined. (If an answer is undefined, enter UNDEFINED.) tan(sin-())

Q: n + 3 n- 1

A: Given query is to find the series converges or diverges.

Q: Using integration by parts, the integral Sxsec(2x) tan(2x) dx is equal to:

A: Integrating by parts : ∫u.v dx =u∫v dx -∫(dudx∫vdx)dx ∫sec(ax) tan(ax) dx= 1asec(ax) +C ∫sec(ax) dx ...

Q: to す x²Y- X

A:

Q: Find the longer diagonal of a parallelogram having sides of lengths 10 and 15 and an angle measure 6...

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Q: Compute the work required to stretch a spring from equilibrium to 8 cm past equilibrium, assuming th...

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Q: Using the figure shown, find csca (3, - 4) -5/4 -5/3 5/4 5/3

A: Here we will find  cscθ,

Q: HX)= 2 X-7 g6x)=-8x-5

A: Note: (f+g) (x) = f(x) + g(x)

Q: Find the length of latus rectum of the curve x² – 6x + 12y – 51 = 0.  a. 12 b. 13 c. 14 d. 15

A: The given equation is;  x² – 6x + 12y – 51 = 0. 

Q: Differential equation A tank initially contains 10 gal of fresh water. At t= 0, a tap is opened, po...

A: Given

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)*+1 5k

A:

Q: Use the formula for the binomial series: (1 + x)" = т(т-1) 2 2! m(m–1).-(m-k+I),k + + 1+ mx + %3D .....

A: The maclaurin series for 1+x7

Q: If a force of 60 lb. acts at an angle of 40 to the horizontal, what is its vertical component? 39 l...

A:

Q: Sx² tan x3 dx (In x)3 dx 4x 2x3 dx x++1

A:

Q: y" – 3y' + 2y = 0 y(0) = y'(0) = 1

A: We want to solve using Laplace transformation.

Q: Find the volume of the solid obtained by rotating the region petween the curves y = 3x - x³ and x-ax...

A: Given query is to find the volume of the solid generated.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: From definition of Taylor series about center c of a function f(x) we know, f(x)= ∑k=0∞fk(c)xkk!

Q: The Differentiation to be made must be based on the following topics. - Inverse Trigonometric Give 3...

A: Find your answer below 

Q: Find the maxamin s in flectlon Points and the in ter Vals on which the function inerease,decrease co...

A: follow the solution which is mentioned in step 2.

Q: Q: solve the equation 5 lim ( x-3 3y + 4x x - 3

A:

Q: f(x) Find g'(3) given that f(3) = -6, f'(3) = –4 , and g(x) = %3D %3D 8 Answer:

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Q: A lighthouse rotates its light in a circular motion with a constant speed. If the beacon of light co...

A: Given ,  A lighthouse rotates its light in a circular motion with a constant speed If the beacon of ...

Q: Given f''(x)=−9sin(3x) and f'(0)=4 and f(0)=−1.   Find f(π4)=

A: Topic:- application of integration

Q: VT(y – 3) where 1< y < 2.

A: the given curve,   x=13y y-3 where 1≤y≤2

Q: n 5n (2)En=1' 2n

A:

Q: If the entire pizza has a 16 inch diameter and is cut into 8 slices. Find the area of a slice of piz...

A:

Q: Given f''(x)=7x+6 and f'(−1)=−1 and f(−1)=1.   Find f'(x)=    and find f(3)=

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Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

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Q: Find the radius of convergence and the interval of convergence. k(k + 1) k=1

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Q: The roller coaster rides at Math Games are all shaped like trigonometric functions. Dan goes on the ...

A:

Q: 1. Let E be the solid triangle in R³ whose corners are the points (1,0,0), (0, 1, 0) and (0,0, 2). C...

A: We have to compute the integral.

Q: A. Find the derivatives of the following functions: 1. f(x) = (-x - 5)* 2. f(x) = (-x² - 4)-2

A:

Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 2y + 3, 0 ...

A:

Q: What is the volume generated by revolving the shaded region around the x-axis? Use the Disk Method. ...

A: Here we know that Volume (V)=∫abπr2dxTherefore here,Given function y=4x-1V=∫14π(4x-1)2dx Take the co...

Q: Find the max emin, nflection Points and the in ter Vals on which the function iiHereaserdecrease con...

A: Given query is to find the the key points of the function.

Q: 4. Given the function f(r) = 3 - 6.r+2, discuss its relative maximum and minimum points, the interva...

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Q: Use sigma notation to write the Taylor series about = xo for the function. In x; xo k =

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Q: Sketch the graph of y =x-3. S1N

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Q: Use logarithmic differentiation to find the derivative of the function y = 8x"("), wherer (x) = 5x ....

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Q: Q3) Evaluate the following integrals: sec(tan-1x). tan³ (tan-1 x) A) y = S dx 1+x2

A:

Q: Evaldate the Fallewing integ rals; (1-Sin 2t) cos2 t d t

A:

Q: (a) f(x) = 1 – 1; I =[-2,2] (b) f(x) = I = (1,5)

A: We will find if the given function is continuous. 

Q: Determine whether the following series is convergent or divergent. 1 1+ 1 t.. 22 33 44 O The series ...

A:

Q: Sue wants to build an enclosed area behind her house for her pets. One wall of the enclosed area wil...

A: area of rectangle 

Q: Find the derivative of the trigonometric function. (e) = t° sin(e) f '(t) =

A: if f(x) and g(x) are both differentiable functions, then product rule of differentiation tells:     ...

Q: How much work is required to lift a 900-kg satellite to an altitude of 3· 106 m above the surface of...

A: This question can be solved using the concept of change of gravitational potential energy.

Q: Find the derivative of y with respect to x. 1/9x²-1 + sec -13x, x> y= cot %3D

A:

Q: Assume that the sequence shown below converges and find its limit. Võ, J8 + V5, 8+ /8+ võ 8+ /8+ /8+...

A:

Q: Suppose that in a certain area the consumption of electricity has increased at a continuous rate of ...

A: topic- exponential function

Q: 11

A: We will find the derivative. 

Q: Assume that a rectangle with sides x and y is changing with time. Let y = 2x and x(t)=t^2 What is t...

A: Given query is to find the rate of change of area.