Complete

Q: V1+x? 3. S dx

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Q: = 4 cot -1 3. y = cos x 4. y = c Csc 2x

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Q: An object moves with velocity given by v(t) = 9t² such that s = 4 whent = 0. Find the equation of mo...

A: Find the equation of motion of the object

Q: _3. The equation of the tangent line to the function f(x)=-- at (-5,) is x-3 7. y = x- 25 1 25 4. Th...

A: Topic:- function and derivatives   

Q: 7. Cos? 3" cos n n=1

A: ∑n=1+∞cos2n3nBy comparison testcos2n3n≤13nSince ∑n=1+∞13nconverges by geometric test 

Q: dy sec x.tan x dr

A: Please refer to the image below

Q: Solve the differential equation (r² + 1)y – 2ry – 2x = 0 using the method of exact equations;

A: Differential equations

Q: Find the nth Taylor polynomial for the function, centered at c. 1 n = 4, c = 5 x2 f(x) = Pa(x) = %3D

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Q: 7. Which of the following is the potential function for F = (2ху + 1,х2 + 2yz, y? — 2)? а. Ф(х, у, 2...

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Q: 3. The graph below depicts f(x) = tan-'(x) between r = 0 and r = 1. arctan(x) Calculate the volume o...

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Q: If an arrow is shot upward on Mars with a speed of 62 m/s, its height in meters t seconds later is g...

A: Note: According to our expert guidelines only first three subparts are to be answered kindly, repost...

Q: 14. Jim (x-3)csc TDX x→3

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Q: 8x+ x-8x+10 3. 2 dx x(4x-4x+5)

A: To find out the integration of the function.  

Q: Evaluate [sec^2 (-1-0.1i)][tan(12-36i)]. Express your answer in rectangular form in 4 decimal places

A: The given expression is sec2-1-0.1itan12-36i. We have to find the rectangular form.  

Q: If the price of the product is increased from 3.50 to 4.20 (a 20% increase): (i) Will the revenue fr...

A: Find your answer below 

Q: tan (x – 2) sin(r – 2)4 Evaluate: lim -

A: we want to find the value of limit   limx→2tan2(x-2)sin(x-2)4

Q: 1. f(t) = sin ² Gt)

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Q: 1 and g(v) = Vv+ 5, find (f o g)(v) and (g o f)(v). v2 + 1 If f(v) =

A: The given functions are  f(v)=1v2+1  &  g(v)=v+5

Q: - Find the Laplace transform of each of the following function A f(t) =

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Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interferen...

A: Given: Mx,y,z=The strength of the magnetic fieldMx,y,z=12x-y2+xz+210                                ...

Q: Use the identities cos 20 =1- 2 sin? 0 = 2 cos? r to help evaluate the integrals. COS 1 NOTE: Enter ...

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Q: (a) State if the following are True or False. You need not show any working. (i) z = 2 – 2i has magn...

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Q: A) Sketch the graph indicating maxima, minima, asymptotes and inflection points and find the interva...

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Q: B. Write T if the statement is true, or F if it is false. Write your answers on the blanks. 1 1. The...

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Q: The temperature of a chemical reaction oscilates between a low of 25 C and a high ot 120 C. The temp...

A: Let's find. 

Q: Find the nth Taylor polynomial for the function, centered f(x) : 1 n = 4, c = 5 %3D 2' Pa(x) : %3D

A: We have to find out Taylor polynomial

Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

A: This question is based on gradient of function.

Q: 7. For the following complete the square and find the vertex form of each quadratic function. Then g...

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Q: Determine if -1 CSC 1 if 0 1 1 is continuous or not at r =; and 1. If it is discontinuous, identify ...

A: Given is the question of Continuity.

Q: z sin(2- 32)+cos(2 - 3a)+c | 4x cos(2 – 3x) dx 4x cos(3 3r) dx Option 1 Option 2 |4 cos(3- 3z) dr 4....

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Q: 1 dx x /1 – (In x)² 1

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Q: 2x – x3 dx (x – 1)° (x² + 1)

A: Given,           ∫2x-x3x-12x2+1dxTo find : Evaluate using partial fractions and w/o u-substitution.

Q: Find the volume of the solid found by rotating the region y = Va from :-1. You may use either the sh...

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Q: Use the Squeeze Theorem to evaluate lim sin(tan x) sech(secx).

A: It is required to calculate the limit limx→π2-sintanxsechsecx. The squeeze theorem states that "Let ...

Q: Sketch the curve: f(x) = x^4 - 6x^2

A: solution:-f(x)=x4-6x2Domain=(-∞, ∞)x-interceptsy=f(x)=0f(x)=x4-6x2=0x2x2-6=0x2(x+6)(x-6)=0(x+6)=0,  ...

Q: The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x²...

A: Given

Q: End the solution and dyined the interpal at which function is depince dx

A: Given that xdydx+y=1y2Solution :xdydx+y=1y2xdydx=1y2-yxdydx=1-y3y2y21-y3dy=dxx∫y21-y3dy=∫dxxlet, 1-y...

Q: 6. Graph the following piece-wise defined functions and state their domain and range: { -2.r for r <...

A: We have to draw the graph

Q: A dilation has center​ (0,0). Find the image of the point ​L(3​,−7​) for the scale factor 8. L'=

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Q: e 6 7. 9- 4. $4 23 ap (()4 - (E )b )EL7 Jo 2ra(8- h(x)) dx ap ((2)6) – 8) T0 p (,(-)e) – 8) = 0 revo...

A: Let's find. 

Q: 1. Given y= log 256. The value of y=

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: III. Find the limit, and when appropriate, indicate the Limit Theorems being applied. 5+ 2x 1. lim r...

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Q: x+1, (x< 3 Given f (x) = 2 x=1 %3D

A: Find your answer below 

Q: Find the surface area of revolution about the x-axis of y=7x+1 over the interval 1 ≤ x ≤ 3

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Q: EF = (6x – 4y, z – 4x, y – 8z), then V × F = 0.

A: Topic:- application of derivatives

Q: 2 ne-n?

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Q: t' sin (2t*) dt Evaluate O 1/8 t^4 sin(2t^4) - 1/16 cos(2t^4 )+c O -1/8 t^4 sin(2t^4 )+1/16 cos(2t^4...

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Q: f (t) = et sin (3t + 2

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Q: tan e de (1+ In cos ele

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Q: sec-(2y cos r) = x"

A: