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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx 4x2 – 1 XV

A: We have to determine integral

Q: 17. (Vx-x)dx (1-x²) dr 18. 19 o. Sy² dy 20.

A: Given problems:-

Q: Q.2 - Use the Riemann sum approximations to approximate the area under the curve of y = x on the…

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Q: 5 Evaluate the integral 2x cos(xy)dydx 4 0.

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Q: all

A: We have to find the following conditions according to the given graph of the function

Q: Find the length of an are with parameterization r(t) = (-7 sin (t), -7 cos (t), -4). on the interval…

A: In this question, We will use the formula of the length of an arc of the parametrized curve.

Q: Consider the function f(x) = 5x³ 8x2 + 5x – 3. An antiderivative of f(x) is F(x) = Ax* + Bæ³ + Cx² +…

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Q: (1 – x²)dx eTextbook and Media 2) V You answered correctly! Move on to the next part to add to…

A: According to guidelines we solve only first question.

Q: The dimensIons of awater tank are 13 cm, 10 cm and 70cm. If it is half-filled with water, cal-…

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Q: 2. Jx2Vx3 – 27 dx -

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: (t – 1,t 2

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Q: EXERCISES answer page 338, letter B. (COPY & ANSWER) В. In exercises 1 to 8, refer to the triangles…

A: To answer the given questions using the given triangles. where hyp=hypotenus

Q: If f'(x) > 0 and f" (x) < 0, then which of the following is true? o f(x) is decreasing and concave…

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Q: 3. 2 1 What is the value of the integral 7xyz² dxdydz ? 0.

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Q: A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except for…

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Q: The​ half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

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Q: dy Find dx for the curve: x = t, y= 2/t, t>0

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Q: does ln(inf)/(inf)=0

A: the statement is false see below the explanation

Q: x + 20 g(x) = { 3Cx + K if – 2 < x За — 2K if x < -2 | if 1 < x -

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: By using rectangles whose height is given by the value of the function at the midpoint of the…

Q: What would be the shape of the graphr= 2 cos 0, given that 0 = 0, 7, 5, ? semi-circle in the first…

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Q: 10) For y= Vx+8, use the differentialE dy to approximate Ay when x changes from x=1 to x=0.97

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Q: Let 7(t) = (– 5t4 – 4, – 2e“, 2 sin(3t)) Find the unit tangent vector T (t) at the point t = 0 T (0)…

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Q: x e2x dv

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Q: A.) In each of the following, find the area bounded by the given curves; Solve for the points of…

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Q: %3D 15. If the vector field F(x, y, z) = xz i+ xyz j-y k, find curl F.

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Q: For the function given​ below, find a formula for the Riemann sum obtained by dividing the interval[…

A: To find the formula for Riemann sum and calculate the area under the curve.

Q: How can you relate antiderivatives as an opposite of derivatives in your life? explain

A: Solution is given below:

Q: cot ve csc² Ve do 3 Vo (4 + cot? Ve)

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Q: Use polar coordinates to evaluate the integral er+y dA R where R is the region that lies in the…

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Q: Consider the following function: + 3x3 + 3x2 – 7x – 6 y x - 3 Find discontinuities and Maxima for…

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Q: 1 y dydx %3D 0. Select one: O True O False 2.

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Q: Determine the points at which the limacon defined by the polar equation r= 3 +2 sin e Has horizontal…

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Q: 11.) Find the area inside r -3cos(e) and outside r = 1+ cos(e)

A: As per guidelines we can solve only one question at a time so please repost other question.

Q: What would a graph look like if the polar equation is "r = 4"? It would look like a semi-circle…

A: The polar equation is  r = 4 To evaluate: The graph of the polar equation.

Q: ta the téduction of order melhod, the substitution y= 5u can be used for the DE: - 3y/= 0, to obtain…

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Q: The angle below measures 5.4 radians, and a circle is centered at the angle's vertex. 5.4 rad,…

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Q: 1. Prove the following limit. a) f(x)=x²+2x+6 where lim, 3 f (x)=21 x→3 b) limx? -x+1=-5 c) lim x→2…

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Q: Rx) - х3 - х2 - 12х + 6, [0, 4)

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

Q: Let C be a curve that is defined by x = 4 sin t and y = cos t, t E 0, 27]. Determine (a) the time…

A: Let C be a curve that is defined by x=4sint and y=cost, t∈0,2π. x=4sint⇒dxdt=ddt4sint=4cost…

Q: Find the general solution of ydy/dx =2/(3x2). a. y?/2 = -2x/3 + C O b. y/2=-2/3x + C O c. y/2 = 2/3x…

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Q: Find the indicated derivative. f (x) = x° sin x; find f(4)(x).

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Q: 24. f)dx + fx)dr =,

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: x2+8z-9 a+6 key values of the function were ADDED together, their SUM total would be: Given the…

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Q: Amplitude: 9. y = sin (x -) + 1 Period: 3n Phase Shift:

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

Q: x = v2. t² Let C be the curve with parametric equations 3/2 where t E [0, +∞). 8 t+ 3 V2 8 4 '3 (a)…

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Q: Find a unit vector that has the same direction as the vector a and the opposite direction of the…

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Q: Sketch and use a double integral to find the area of the region R bounded by the lines: y = 0, y = x…

A: A detailed solution is given below.

Q: Solve the problem. Electrical systems are governed by Ohm's law, which states the V = IR, where V =…

A: Here we will find rate of increasing resistance,

Q: If g(x) = 5 – x³, find g'(0) and use it to find an equation of the tangent line to the curve y = 5 –…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…