Integrate using appropriate U-Substitution. You must label u and du: (x - 1)(x + 1) 15x -5x³ S dx u du =

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. x…

A: The given differential equation is xdx+y-2xdy=0

Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6) O…

A: To find the curl for the vector field  at the given point.Fx, y, z=6xyzi+6yj+6zkPoint=6, 7, 6

Q: 3. What is the form of y, given (D² +9)y = cos3x Asinx + Bcosx Asin3x + Bcos3x A. Yp B. Yp C. D. Yp…

A: According to our guideline we are supposed to answer only the first question if you want any…

Q: VA Find the equation of the curve that passes through the point (1, 0) and has a slope of O = y = y…

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Q: 23. Find the radius of the circle inscribed in a triangle formed by the lines 7x+24y-70-0,…

A: The given equations of the lines are: 7x+24y-70=0  ..........(1)21x-20y-70=0…

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

Q: 5)  Solve the initial-value problem by using integrating factors. xy' = y − 3x3, y(1) = 0 y(x) =

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Use a sum or difference identity to find the exact value. sin 125° cos 65° - cos 125° sin 65°

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Q: Q1. Find the derivative of the following functions. a) G(x) = √²+3d f et -dt et b). H(x) = plnx +²…

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Q: Find the formula for the total distance traveled by an object with a velocity v(t) = 2t² – 8 on the…

A: The objective is to find the correct option.

Q: 13 If sec (0) = 3,0 ≤ 0 ≤, then 5 sin(0) equals cos(0) equals tan(0) equals

A: This is a basic trigonometric ratios problem

Q: could re write the solution again please

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Q: A region bounded byf (x) = 4 3 2 X Find the volume of the solid formed by revolving the region about…

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Q: Consider the given function and the given interval. f(x)=(x-3)², [1,4] (a) Find the average value…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Q2) A- Find asymptotes for the following functions : x²-1 (1) (2) x²+2 B- Find dy dx x³+x²-x-3 x²-1…

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Q: sec²x - 1 sec²x 0-1 sinx

A: We will solve.

Q: Find the area between the curve of y = x + 2 and the x-axis on the inter 4 ਆਗੂਆਂ 2 4 -2- O O O 27 4…

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Q: Find the component form of the indicated vector. Let u = (3, 1), V =(4,-5). Find 2u + 3v. (14-8)…

A: The objective is to find 2u+3v.

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Q: Perform the calculation. 90° - 58°20' 32°20' 31°20' 31°40' 32°40'

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Q: "Si" means "if" The function f is defined as follows: Knowing this, calculate: f(x) = (4x³+ln(3x) si…

A: Concept: Integration: Integration is a strategy for combining or joining the parts to get at the…

Q: Solve the following differential equation y′′−y = ex by the method of variation of parameters.

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Q: The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of…

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Q: Find an explicit solution of the given initial-value problem. dx = = 6(x² +1), x(1) = = 1 dt x = tan…

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Q: Use the following information to complete parts a. and b. below. 3 f(x) = =,a=3 a. Find the first…

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Q: Evaluate f(7) and f(7.1) and use the results to approximate f '(7). (Round your answer to one…

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Q: x-intercept =

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Q: Norma is running a race. Between time t = 0 min and t = 15 min, her speed is 4 miles an hour;…

A: Given speed of Nomra from 0 to 15 min is 4 miles per hour Speed of Norma from 15 to 30 min is 6…

Q: The world's population in 1980 was about 4.5 billion. Suppose the population increased at a rate of…

A: As per our guidelines we are allowed to solve only first 3 sub-parts. kindly repost others. Thank…

Q: If [ ½ dx = 1⁄2x + 3, which of the following statements is true? / / / / dx # 1/1/2x + 3 0 / dx = x…

A: We can answer the question as below.

Q: Find the reference angle for the given angle 120° 64°

A: We will find the solution

Q: 5. Suppose that growth g as a function of time t can be modeled by 21 g (t) Determine the time t at…

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Q: aight Highway. He determines the angles of depression to two mileposts, 6.5 mi apart, to be 37° and…

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Q: Find the 4th -degree Taylor polynomial centered at x = 0 for the function f(x)=√1+x. Use the…

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Q: Decide whether the relation defines a function. {(-8, 2), (-8, 8), (1, -9), (6, 3), (7,5)} Not a…

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Q: Find f(x) given    f'(x)=(x2-2x+1)/x f(1)=6

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Q: Find an angle that makes the statement true. Use the Cofunction Identity. cot(50 – 32˚) = tan(0…

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Q: -Consider the function defined by the base: Find dz ) Prove that дz +y əx дz ду = sin 2z z =…

A: Topic:- application of derivatives

Q: (x) = (x^2)−16 / (x^2)+2x−8 . Find any holes(which are points) and V.A.

A: We have to find out hole

Q: Write the sum as a product: sin(16.76) + sin(12.96) = > Next Question

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Q: A region bounded by f(x) = x, y = 0, x = 1, and x = 4 is shown below. Find the volume of the solid…

A: The objective is to find the volume of the solid formed by revolving  the region about the x-axis.

Q: Find the derivative of the transcendental function. 6e* y' =

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Q: Solve the differential equation by using integrating factors. xy' = 4y + x2 y(x) =

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Q: Find the average value have of the function h on the given interval. h(u) = (9 — 6u)−¹, [−1,1]

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Q: Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in…

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