true or false 1. ∫dx/(1 - 2x) = 1/2 ln|1 - 2x| + C 2. ∫ (1 - 4x4 + x3)/x3 dx = 1/(2x2) + 2x2 - x + C 3. ∫(x2 - 1)2 dx = x5/5 - 2x3/3 + x + C

Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

A:

Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the…

A:

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A:

Q: Let f be a continuous function such that f (x) dx = -4 and 1 f(x) dx = –14. What is the value of 2…

A: As we know that;  The properties of the definite integral; 1). ∫abfxdx=-∫bafxdx…

Q: 2. The solution to the equation below is x = 2 and x = 5. cos? æ – 7 + 10 = 0 O True O False

A: The given equation is:

Q: Wheat is poured through a chute at the rate of 10 ft/min and falls in a canonical pile whose bottom…

A:

Q: Streaming Music Consumers are spending more on music from digital sources than they do on CDs.…

A: f(t) =3.7+ln(t+1)(a)in 2012 , t=0f(0)= 3.7 +0.84 ln(0+1) = 3.7+ln1=3.7+0f(0)=3.7Amount spent by…

Q: Given f''(x) = 4x – 5 and f'(– 3) = 3 and f( – 3) = 6. Find f'(x) = and find f(3)

A:

Q: A tractor pull contest is held at a county fair. The tractors in the contest pull a sled on which…

A:

Q: Choose the correct speed and direction of a plane with a velocity of (5,-12). 13,113° 17,293°…

A:

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After 60 minutes,…

A:

Q: |(sinx/cos2x)dx = sec x + C %3D Select one; O True O False 16x e2^3+1 dx = 3e3+1 + C Select one…

A:

Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

A: Cylindrical shell Method : The Volume of the solid obtained by rotating about the y-axis the region…

Q: 2. The function g(x) is defined for -3Sx5 3. The behaviour of g'(x) and g"(x) is given below.…

A: A)-3<x<-2, g'(x)<0and-2<x<1, g'(x)>0Function decreases over (-3, -2) andincreases…

Q: Match the differential equation with its direction field. y' = sin(10x) sin(10y) y \ 20y 0.34 15 0,1…

A: Here, to match the graph of the given differential equation: y'=sin(10x)sin(10y)

Q: If C is the line segment from (1, 5) to, (0,0), find the value of the line integral: So(4y? i + 4x…

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y?, (7, 3, 40)…

A:

Q: What is the value of x in the diagram below? Round your answer to the nearest hundredth. Show all…

A:

Q: what is the area between the curves: y = 7 cos( pi*x),    y = 12x2 − 3

A: 7cos(πx) and 12x2-3

Q: 2. f(x,y) = ye3x²+4y³

A: Given query is to find the fist order partial derivative.

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Solved below

Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A: b=144.9c=123A=114.6°Law of cosine;a2=b2+c2-2bc cosA…

Q: 22. f (x) = e² + sin x

A: The given function is f(x)=ex+sinx .......................................... (1)

Q: B and C

A: Topic:- application of derivatives

Q: Question 7 Given f"(x) = 2z – 6 and f'(- 2) = – 4 and f( - 2) = 2. Find f'(x) = and find f(4)…

A: Given query is to integrate and find the function.

Q: 2.ryda + (a² – 1)dy = 0

A: As per guidelines we have to solve one question

Q: How do you take the integral of 2 * sqrt((t^2 + 1)) ? Can you label notes on each step? I can't see…

A: We will solve this question using integration by parts.

Q: Suppose the position of a particle is given by parametric equations x(t) = t³-2 and y(t) = 5t2. %3D…

A:

Q: 6)Let f ( x ) = x4 + x3 - 3x2 + 1 a)Find all the hypercritical values. b)Determine the intervals…

A: The given function is f(x) = x4+x3-3x2+1 ............................ (1) We have to a)Find all the…

Q: (b) Use implicit differentiation to find when Sr' + ry - Se'g

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find fx , fy and fz. 1 -1 f(x, y, z) = tan %3D \xy²z4, ().

A: Here we will find Fx,Fy,Fz;

Q: Find the radius of convergence about x = -2 and interval of convergence of the series Sn°(ar + 2)"…

A:

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y= fix) 6.…

A:

Q: The shaded region shown below is bounded by the functions f (x) = -x2 + 0.5x + 10 and g(x) = -1.5x +…

A:

Q: (2x-4y)dydx 3.

A:

Q: 12. f (x) = xe -x

A:

Q: 6. Determine, with reasons, the absolute maximum and absolute minimum of f(x) = x/2 – x on the…

A:

Q: - f (x) = e¬² at c= 0

A:

Q: Evaluate the directional derivative Duf (2, 3) if ƒ (x, y) = and u is the unit vector in the same…

A: Given problem:- Evaluate the directional derivative Duf(2, 3) if f(x, y) = x/(x2 - y) and u is the…

Q: Зx-5 The function f(x) = is discontinuous for what value of x? 3 2-3x x = 4/3 O x = -2/3 X = 2/3…

A:

Q: cos x 3. y = tan (3x)cot (3x) 4. y = 1+sin x 5. y = arctan (3x5) 6. y = x arcsin x + V1- x²

A:

Q: 5.SUPPOSE tu at fex)= XJgcK)· If 903)=16 and g C3)=-5.what is f'(3)?

A:

Q: Suppose the position of a particle is given by parametric equations x(t) = t3-3 and y(t) = 2t2. (a)…

A: Solution: x(t)=t3-3  and y(t) = 2t2

Q: 9. The region bounded by the given curves is rotated about the specified axis. Sketch the region and…

A:

Q: Match the polar equations with the correct polar curve. (i) r = 2 cos (0), 0 <o <T/2. --- (ii) ----…

A:

Q: The integral of the given function ſ**-16) x3 3/2 dx is

A:

Q: earning Task 1: Determine the derivative of the following. x*y + 2y3 = 3x + 2y %3D

A:

Q: dy If y2=2x+3y dx find then use it to find the tangent line to the curve at the point (3,2) For the…

A: Solution is given below:

Q: x²+1, xs1 f (x) dx if f (x) = 2, raluate x> 1 A) 10 20 B 3 12 8 D 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…