If you were to use a substitution of u = 4x³ - 2 to evaluate the definite integral below, what would the new limits of integration be? [²4x² (4x²³ - 2)° dx (Enter an exact answer.) Provide your answer below: The new lower bound is and the new upper bound is

Q: 03/ A. For the following function f(x). Find: ji. iii. m=? 1-4X m -UX.=-u P(1,-1) f(x)=x-2x² The…

A: See this solution in below

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol 1-cos x sin²x (2) lim, o…

A: 3 1) limx-0[1/(1-cosx) -2/sin2x ] 2) limx-0 (tan-1x-x) x-3

Q: Which of the following describes the graph of h(x) = −3(x − 1)²(x + 1)²(x + 2)? O-12 O -10 -0 -4 -12…

A: see below the answer and explanation

Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: If an individual worked 40 hours in a given period and earned $20 per hour, the calculation would…

Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: Topic = Functions

Q: Discuss the continuity of the function. f(x, y, z)= sin(z) ex + ex continuous except at (0, 0, 0)…

A: Our Aim is to discuss the continuity of the function given below:-f(x,y,z)=sin (z)ex+ey -(i)

Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1 (2) sech x - 4 tanh x = 1

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Q: 4 (A): If A 2 2 1 Find AB and AC. 01 0; 1-2 -1 1. 2 B = 2 ܚ ܨܢ ܝ 1 ܚܕ ܨܐ ܝܕ -2 -2 and -1 2 1 C: 11…

A: Here, the given matrices are: A=420210-2-11, B=2312-2-2-121, C=31-3026-121

Q: Q4: Answer two only: 4 2 2 1 -1 1 (A): If A = -2 Find AB and AC. 01 0; 2 B = 2 -1 3 -2 -2 and 2 1 3…

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Q: s 32x² (x-15) (x+5)² dx I

A: Integral

Q: Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If…

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Q: Consider the region depicted in the following figure. Find the area of R. -1 YA 4- 3+ 2 1 0 -1. f(x)…

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Q: Use the given conditions to write an equation for the line in point-slope form and in…

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Q: In Exercises 37-42, use the Shell Method to find the volume obtained by rotating region A in Figure…

A: See this solution in below

Q: Q / if w = tan x and x=4²++ Find dw dt

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Q: The line graph shows the average number of awakenings during the night for men and women of…

A: To find the difference between the average of awakening during the night.

Q: 11. f -dx 3x+1 +4x

A: these 2 questions are not related to each other so according to bartleby guidelines I need to solve…

Q: 1. Find the equation of the circle passing through the points (1, 5), (-2, 4), and (10,-2).

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Q: Determine whether S is a basis for P3. S= (3-t, t3, 9t2, 8t + t, -1 + 3t) OS is a basis of P3. OS is…

A: Please see the below picture for detailed solution.

Q: Find all the zeros. Write the answer in exact form. n(x)=x³-7x² +13x-3 If there is more than one…

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Q: Given the ODE (cscy)dx + (cos²x)dy = 0. A one-parameter solution of it is: O cosy + tanx = c siny =…

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Q: Find the general isolation of the following: 1. (x³y³+1)dx +x4y²dy=0

A: Please see the below picture for detailed solution.

Q: The football game was attended by 237 people, down 40% from last week. How many people attended last…

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Q: 3 2.)f x³ (4 + x²)² dx ; Use rationalizing substitution

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Q: nd the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2 You…

A: Given :limx→21-x21-x2

Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

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Q: Find the tangent equation to the curve y = sin² x at point x = 3.

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Q: S 7dx x(lnx + 1)

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Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: Let f (x) be a polynomial function with a zero of multiplicity of 1 at 3 and a zero of multiplicity…

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Q: lf f(x) = -[-² 0 u²-6u +5du, then what is the y-coordinate of its inflection point? Selected Answer:…

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Q: 04: Answer two only: (A): IF A-2 10 1-2 -1 Find AB and AC. 3 and C-0

A: Given :A=420210-2-11B=2312-2-2-121C=31-3026-121

Q: The equation u = 2uxx is O an ordinary differential equation in two variable: t and x O a partial…

A:

Q: Consider a linear system (a) (b) 2x + 3z = k²2 - k-6 3x - 2y = k²-9 x + 2y + 6z = 2k - 6 For what…

A: A linear system is said to be homogeneous if all the constant terms are zero.

Q: Given the following vector field and oriented curve C, evaluate F = (x,y) on the parabola r(t) =…

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Q: Q2: Solve the following in 7x²+14x+15 (1) f dx ; (x²+3)(x+7)

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

Q: Find dy x 3 In (x - y) = xy + y²

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Q: x+2 3.) (x²-1)(x²+1)² of factor. dx; Solve by using partial fraction. Indicate the type

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Q: Exercise (b) the centroid of the region bounded by the graphs of the equations Step 1 The region is…

A: Please see the answer below.

Q: Find the gradient field F = Vo for the potential function = 2x³y-4y³x.

A: We have to find out gradient

Q: What is the area of the region between  y=x^2 -2x-3 and the x-axis from x=0 to 6?

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Q: Solve the initial value problem 25y" - 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t) = = How does the…

A: We have to find the solution of given initial value problem.

Q: Suppose the speed of a car approaching a stop sign is given by v(t)=(t−13)2​, for 0≤t≤13​, where t…

A: The given data is: vt=t-132, for 0≤t≤13 (a) Find v'7

Q: 3. What is the distance between two points (3,-1) and (-2, - 5).

A: Solution:formula: Distance between two points x1,y1 and (x2,y2)                Distance =…

Q: dy Q5: Find for the following functions: dx (3) y = ex.sin² x In√x

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

A: y = x5 y =1  find V = ?   V = π∫(f(x))2dx here we have to find limit of x  here first quadrant given…

Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

A: Please see the below picture for detailed solution.

Q: Question 5 Find the general solution of the differential equation y" - 10y' + 61y = 0. NOTE: Use c₁…

A: Solution : Given that differential equation                  y"-10y'+61=0

Q: The answer above is NOT correct. Find the area of the region enclosed between y = 4 sin(x) and y = 3…

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Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) dx ; (2) S sin x+cos x sin³ x cos³ x…

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