Use substitution to find the indefinite integral. [8(8x-14) dx

Q: г. у = эу! 3 X+l 3 y² = (x+₁).0 - 3 [1] (x+1)² ) - X - 3 (x+1)² + (x-1)0-3[1] (x-1)² (Aus) 3 (x-1)²

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Q: Find the following limit. lim <5t²5t + 2, t→7 answer=< t² - 4t - 21 t-7 2. cos(t) V

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Find the arclength of y = 3x³/² on 2 ≤ x ≤ 3

A: y=3x32   on 2≤x≤3formula for arc length is L=∫ab1+(dydx)2dxd dx(xn)=nxn-1

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: 3- For the following network, determine the critical path. The duration of each activity (in day) is…

A: Critical path is the longest duration to complete an activity

Q: Find the gradient field F = Vip for the potential function <p = 2x²y - 3y²x. F=

A: ψ=2x2y-3y2x

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: 3x2 + xy + y2 - 37 = 0 for this question, we used the concept of implicit differentiation

Q: ¯¯1⁄2æ² e X

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Q: suppose that San n=1 Α. Σ(-4an + 5bn) = n=1 = 6 and Στη n=1 Β. Σ(-4an + 5bn) = n=2 = : 9 and a1 = -2…

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Q: Three people are standing on a plane (the flat surface kind). The first person is standing at the…

A: Three people are standing on the plane. The first person is at the origin. The second person is at…

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: f(x)=-x2+8x+1   on [6,9](i)  d dx(xn)=nxn-1(ii)  d dx(constant)=0

Q: Find the producers' surplus for the supply curve p = 0.02x + 7 at x = 100. O $800 O $100 O $200 O…

A: The producer surplus formula is given below.

Q: At 0° Celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can…

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Q: Find the directional derivative of f at P in the direction of a. f(x, y) = 3 tan ¹(²); P(-4,4);…

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Q: Let (P) be the quadric surface given by the following equation y=5+x² +=² Then:

A: Given : Let (P) be the quadratic surface given by the following equation  y = 5 + x2 + z2…

Q: Given x + y + z = 2 and Po(0,2,0), find the following. (a) Find the equation for the tangent plane…

A: x+y+z=2

Q: Many public entities like cities, counties, states, utilities, and Indian tribes are hiring firms to…

A: For a function f( x ) if f'( x ) &gt; 0 then f( x ) is increasing in the give interval if f'( x )…

Q: Evaluate the triple integral SSS 12yzdV, where B is the rectangular box defined by B B = {(x, y, z)|…

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Q: Let f(x) = (2x-3)/(x-1) as x --> - infinity,    f(x) --> ?

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

Q: ximum imum 5-4-3 -2 -1 (C -(C (x, y) = 5/2 (x, y) = -5/2 1 2 3 4 5 ( (ir an answer does not exist,…

A: Absolute maximum is the point where graph achieved its maximum value over the interval. Absolute…

Q: Sketch the curve of the given function analyzing the following. -12x²-4 y 1) Find all the intercepts…

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Q: What is the exact value of sin(465°)?

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Q: Given f(x) = 4x³+, find the equation of the following lines, expressed in the form X Ar. By+C-0…

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Q: y = 5+ln(x). Find the derivative of the function: y'(x) = The domain for this function satisfies If…

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Q: 46) The number of books in a small library increases according to the function B = 5,900e0.04t,…

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Q: Show that +1=k(k+1). − k=1

A: Explanation of the answer is as follows

Q: Determine if the vectors [2, 4, –1], [8, –10, 5], and [5, –3, 2] are coplanar.

A: Let, a=2,4,-1 b=8,-10,5 c=5,-3,2

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: ind the standart equation of each parabola a. focus is at (2,0) b. directrix .x=3 c. Directrix is…

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Q: Population Growth in Clark County A certain county in Nevada is one of the fastest-growing…

A: Function given in the question is: P(t) = 42,451 t3 − 85,394 t2 + 234,633 t + 273,288    (0 ≤ t ≤ 4)…

Q: K Sketch the region of integration, reverse the order of integration, and evaluate the integral.…

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Q: Two identical circles of radius r are inscribed in a rectangle as shown. Da (a) Express the area of…

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Q: A rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

A: Total area = 4,800 square feet. Dimensions should be used to minimize the amount of fence used ft…

Q: Solve the problem. Find an upper bound for Es in estimating ㅇ O 0 옳 ww 1575 { (8x5 - 2x)dx with n =…

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Q: The power P of a jet of water is jointly proportional to the cross sectional area A and to the cube…

A: given power P is jointly proportional to the cross sectional area A and to the cube of the velocity…

Q: Find the vector equation that represents the curve of intersection of the cylinder x² + y² = 16 and…

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Q: Given x+y+z=3 and Po(1,0,2), find the following. (a) Find the equation for the tangent plane at the…

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Q: The radius of a circular oil slick expands at a rate of 2 m/min. (a) How fast is the area of the oil…

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Q: x² + y² − 2x + 2y + 1 = 0 b. G

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Q: Find the linear approximation of f(x,y) = 8 - x² − 3y² at (2,2). Then use the approximation to…

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

Q: For the following find the critical points using the first derivative test, compute the Hessian and…

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Q: Use calculus to show that the closest point on the graph of 2 2 + y² = 5² to point (6, 8) is point…

A: By using calculus to show that the closest point on the graph of  x2+y2=52 to point 6, 8 is point 3,…

Q: Let E be the region in space above the rectangle [0, 4]x[0,8] (the first interval being on the…

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Q: f(x) = x+4 centered at 0.

A: To find the degree 3 Taylor polynomial for fx=1x+4 centered at 0.

Q: Given x4 +5xy-y³ = y +7, dy dx 11 use implicit differentiation to find dy dx

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Q: use linear approximation to estimate (4.01/sqrt9.02). write your answer as a simplified fraction

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Q: Suppose that the equation In (3x - y) + x sin (z) = ln3 defines z as a differentiable function of…

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Q: Find the directional derivative of f at P in the direction of a. f(x, y, z) = xy + z²; P(0,3,-5);…

A: We have given that