Find Vz. 4x + 5y 4x - 5y NOTE: Give your answer in unit vector notation; that is, in terms of i and j. Z

Q: The following table shows the results of a survey of authors by a fictitious publishing company…

A: Let's solve given subset problem.

Q: x² + 2x lim x 1 x² - 2x + 1

A: NOTE: Refresh your page if you can't see any equations. .

Q: Differential equations -Separable dy/dt=3+5y

A: We can solve the differential equation in the below steps.

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A: solution is given below..

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A: Consider the following functions.fx=4x+7, gx=2x-1To find f∘gx.To find the domain of f∘gx.To find…

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A: I am attaching image so that you understand each and every step.

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Q: 8.5.39) 81 √x³1-qxz dx 81 __81 A+B. ८ (x) 7xx *(x - १) X X X 7

A: We can solve this above given indefinite integral by partial fraction method.

Q: f(x) = -3x² √x²-4

A: Domain is =-2<x<2

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Q: Differential equations -Separable dy_x²y-y y + 1 by(3) = +1 dx

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Q: the family of solution of the equation (x-2y)dx+(2x+y)dy=0.

A: We will find the required.

Q: Find the limit lim lim f(-11+h)-f(-11) h f(−11+h)-f(-11) 11 128 if f(x)=√1238 – 62².

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Q: dy dt y = sin (tan (9t – 1)) Find dy dt

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Q: graph each function using the techniques of shifting, compressing, stretching, and/or reflecting.…

A: Given, fx=x2-1

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A: We have to find the rate at which the distance between the cars increasing 5 hours later.

Q: Sketch the region enclosed by the given curves. y = y = 16x, y = x, x>0 X Find its area. y 10 8 6 10…

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Q: [² 0 1 – e¯x) dx 1

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Q: Find the area of the triangle with vertices P(1,4, −6), Q(0, 0, 0) and R(2, 4, 1). NOTE: Enter the…

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Q: Find the derivative of y = 5x²sec 1(2x-3). O y'= 10x sec-¹(2x-3) + O y'= 10x sec-¹(2x-3) + O y'=…

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Q: Consider the system of differential equations Verify that ï' = ['§ 3]ï, 7(0) = [_?]. 3 y(t) = y(t) =…

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Q: 6. Evaluate: secº (1/x) tan³ (1/x) dx x² | se

A: This question can be solved using integration by substitution.

Q: Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler…

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Q: sketch the graph of each function. Be sure to label three points on the graph.   f1x2 = x

A: Given, fx=x

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: Unit vector u→ in the direction of v→ ⇒v→v→

Q: Evaluate the following integrals, which have irreducible quadratic factors. 207. S 208. 2 (x − 4)(x²…

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Q: Find the area of the parallelogram that has u = i- j+2k and V = = 3j+ k as adjacent sides. NOTE:…

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Q: Determine if the requirements for the mean value theorem are met by the 7 function f(x) = 7x on the…

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Q: Factor out the greatest common factor. Simplify the facto 48x^(8)y^(8)-84x^(4)y^(5)+24x^(

A: Topic:- algebra

Q: If f1x2 = int12x2, find(a) f11.22 (b) f11.62 (c) f1 - 1.82

A: Given information fx =int2xorfx = 2x

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Q: Evaluate the integral and interpret it as the area of a region. π/2 15 sin x 5 cos 2x dx Sketch the…

A: Given integral :- ∫0π25sinx-5cos2xdx

Q: lim x 4 X-4 X-4

A: Answer for first question is =-0.0625 Answer for second question is =-4/(3u-1)2

Q: 205. R dx x³ - 2x² - 4x+8 Et

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Q: R is the region bounded by the functions f(x) = 1 + x² and the g(x) = x - 2 and the lines x=2 and…

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Q: Differential equations -Separable dy_ x + 1 dx y

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Q: 1 5 6 7 8 Previous y 6 S 44 3 24 -6-5-4-3-2-1 -24 031 3 acer -1 Find g-¹ (2). Type your answer...

A: See this solution in below.

Q: Find the curvature of the curve r(t) = (t, 4t³, – 4tª) at the point t = - 1. Give your answer to 2…

A: Derivative of vectors and their cross product is required

Q: Assuming the limit exists, use polar coordinates to find it x ² y ² lim (x,y) →(0,0) x² + y² =

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Q: Find the relative maximum point(s), relative minimum point(s), and point(s) of inflection of the…

A: Find the relative maximum point(s), relative minimum point(s), and point(s) ofinflection of the…