S In²sinx -dx , the integrand is In the expression /= tanx Insinx A tanx B -Insin3x+C 3 In?sinx tanx D Insinx E none of the given choices

Q: For the function f(x) = 3* find fx-2)

A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3 sub...

Q: Find the solution of the differential equation (x+ Vy² + 1)dx – (y - ху dy = 0 %3D Vy2+1,

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Q: Suppose the cost of producing bananas is given by the differntial equation: dC/dx = 26/x + 45x whe...

A: The cost of producing bananas,dCdx=26x+45x

Q: The point (-3,0) is the single x-intercept for the function f(x). The corresponding x-intercept for ...

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Q: The temperature of a metal ingot is 60°C above room temperature right now. Ten minutes ago, it was 6...

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Q: 1 I. Evaluate dV, where E lies between the spheres x? + y² + z² = 1 and x2 + y? + z² E x2 + y? + z? ...

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Q: . Use the appropriate limit laws and theorems to determine the limit of the sequence. an=(3+8/n^4)^1...

A: We will evaluate all above as shown below

Q: Find the horizontal asymptote(s) of the function p(x) f (2) = Va(2) where p (г) — 6а2 — а — 2 and g ...

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Q: Find a set of parametric equations for the tangent line to the graph at t = t0. (Enter your answers ...

A: The given question can be solved as shown in step2.

Q: fre x'e*dx

A: Given: ∫0∞x2e-xdx

Q: Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use s...

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = cosx, ...

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Q: (14) dx + xydy

A: Given

Q: 13 – 2r dx 1.

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Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

Q: Problem 1. Set 2x f (x) = | V16+ t+dt. (a) Show that f has an inverse. (b) Find (f-1)'(0).

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Q: For the given position vectors r(t), compute the (tangent) velocity vector r′(t) for the given value...

A: Part A,             rt=cos5t,sin5tTo find : r'π4  

Q: y = x², x = 1, y = 0; about the y-axis

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Q: Find the orthogonal trajectories of the family of circles through the origin with centers on x axis.

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Q: Solve the triangle below. Re 6. 37 R

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Q: For the missing elements to satisfy the condition A-1 + 14 = E e 2 b 3 5 -2 A 4 -2 i -3 Ly a 268 14 ...

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Q: 1아 %3D %3D 3D -10 -15- lim_f(x) 2. lim f(x) x→-1+ 3. lim f(x) 1. x→-1- x→-1' 4. lim f(x) 5. lim f(x)...

A: Given problem:-

Q: Evaluate the integral. t2 sin(2t) dt

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Q: Find the derivative of the vector function r(t)=ln⁡(7−t^2)i+sqrt(8+t)j−5e^(2t)k r′(t)=⟨  ,  ,  ⟩

A: The given vector function is r(t)=ln(7-t^2)i+8+tj-5e2tk We have to find the derivative of the vector...

Q: Section 2.2 p. 150/152 # 58 58 Derive the formula for the volume of a sphere using the slicing metho...

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Q: Draw a sketch of the plane of 4x – 4y + 2z – 9 = 0. -

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Q: Question 15 Find the standard equation of the parabola with focus at (0, – 21) and directrix y = 21....

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Q: For the following exercises, draw the region bounded by the curves. Then, find the volume when the r...

A: Given:       y = 1/ (x+1) , x = 0 and x = 2 

Q: 3cott csc? 3tdt 5. (4+30cot3t

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Q: (+e*)dx e* -In () 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: For h(t)=-6t+7, determine h-1 (4). Show all steps pf your calculation please

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Q: tant dt. 1+ t2 F(x) = 1-2т

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Q: 4 – 2x dx. x3 + 2x2

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Q: 3. Calculate the area of the region R enclosed within the following boundaries: (x² + (y – 1)² < 1 y...

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Q: f(x)=2x^2+5x+3 find all values of x where the slope of the tangent line to is 0

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Q: Question The graph of the polynomial f(x) is given below. If f(x) has degree 4, find the factored eq...

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Q: 4. Use the graph to find the following characteristics of a polynomial? K/5 4) Use the given graph t...

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Q: f(x)=2x^2-6x-1, find x so that f’(x)=0

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Q: Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨3,−2,−3⟩, b=⟨1,3,−2⟩, and c=⟨−2,...

A: To find the derivative of the vector function, rt=ta×b+tcWhere, a=3, -2, -3, b=1, 3, -2, and, c=-2, ...

Q: QUESTION 4 Given f(x) = 8x³ + 2x. Estimate the value of ƒ(2.01) using differential. %3D

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Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 s- 5 20 1 2. s+3 5s -3 6s-5 3...

A: Given : 1)  L-1{2s-1s+9+4s-5}2) L-1{20s+3+15s-3+7s6}   NOTE: Since you have asked multiple questions...

Q: Write out (but do not compute) 5 other iterated integrals that are cquivalent IT [ f(r,y, 2)dz dz dy...

A: Given:     Limit: ( 0-4 , 0 - y2 , 0 - y )  f(x,y,z) dx dz dy  

Q: 7/2 sec*(t/2) dt

A: Here we will solve the given definite integral,

Q: Find the point(s) on the parabola x =y closest to the point (0,3)

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Q: Given the set of information, find a linear equation f(x) satisfying the conditions, if possible. (I...

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Q: 6. Compute the volume of the solid that lies above the paraboloid z = r² + y? and below the half-con...

A: Given: z=x2+y2z=x2+y2

Q: 4 x2-4 xp

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Q: 1- Solve the following equations using Grammar's rule: b) 2x + y - z = 2 x - y +z = 7 2x + 2y + z = ...

A: Given system of equation2x+y-z=2x-y+z=72x+2y+z=4We know that for system of equation a1x+b1y+c1z=d1a2...

Q: 2. Complete the following table. lim 2016 lim r -2 -1/2 3.1416 10 V3

A: Given table:- c limx→c2016 limx→cx -2     -12     0     3.1416     10     3       ...

Q: Question 1 A function F is an antiderivative of the function f on an interval I if for all x E1. A F...

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