Evaluate the definite integral. 3 (-2) dp 3 (-2) dp = (Simplify your answer.) -1 -1

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A: We have to find integral

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Q: Use the Laws of Logarithms to expand the expression. In(x√7) In(x) + In + In (√²) N X 27

A: Given query is to expand the expression.

Q: Find the area of plane region bounded by the curves y = x³, y = tan² z - 3 and the inequality 0≤x≤

A: To find the area of plane region bounded by the curves y=x3, y=tan2 x-3 and the inequality 0≤x≤π2.

Q: s, e -0.4 is

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Q: Evaluate the following integral. Assume a and b are real numbers and n is an integer. Sx(ax + b) dx;…

A: By considering u=ax+b we can integrate it.

Q: dx √x²-4x+13 S.

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Q: 1. Find the area bounded by: x=y² and y=-x².

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Q: Find the slope of the tangent line for the curve r= 2cos 30 at the point where 8 = a) 1 b) - V3 c)-6

A: Given curve r=2cos 3θ Point θ=π6 Differentiate r with respect to θ drdθ=ddθ2 cos 3θdrdθ=-6sinθ We…

Q: Opposite of a vector and subtraction. Click CONSTRUCT and draw in a new vector that shows CD - AB. D

A: HERE  red show resultunt  and substraction is given so we take AB to the opposite diection of given

Q: Let f(z) dz = 8, g(z) dz = –12, g(z) da = 13, Use these values to evaluate the given definite…

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Q: Find the slope of the equation at the point (2,2) * x²y = 8 O -1/2

A: Slope of a equation y=fx at a point a,b  is given by dydx(x,y)=(a,b)=df(x)dx(x,y)=(a,b)As per…

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Q: 26 The sum of two numbers is 40. Find the product of the numbers if their product is to be the…

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the…

Q: Solve the system of differential equations. X1' = 3x₁1 - 1x2 X2': = 1x₁ + 5x2 - 11, x₂(0) = 7 x₁ (0)…

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Q: 4)3y-4z = -2 3x-4y+z=-9 3-3x-2y-2z = -5 %3D |

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Q: af For the function f(t, x) = sin (9лt + 4x), find at af at (Type an exact answer in terms of t.)…

A: topic - partial differentiation

Q: -7x - 2 y =-13 x – 2y = 11

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Q: Solve each of the following problems completely. Draw the complete figures for each question. 1.…

A: Please see the below picture for detailed solution.

Q: Evaluate: x - 4 lim x-4x2 - 8x + 16 O Limit does not exist O 4 O1

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Q: 4. Consider the line D: "2¹ = = = ²/² = = z2 and the plane P: 2x + 2y — z = −3. a) Find the points…

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Q: derive or obtain L{t^n} then use result to obtain the L{-4t²+16t+9}

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Q: Find the first derivative of * An(In(In x)) 1 x In x (x In(In x)) In x In(In x) Option 2 Option 4 1…

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Q: The two-dimensional Laplace equation, f(x,y)= -9x-6y +4 2²f ax 2²f Find for the given function. 2²4…

A: The given function,  f(x,y)=-9x-6y+4

Q: Solve the problem with the application of integral and draw the complete figure of the problem.…

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Q: If f(x) = 10(sin(x))", find ƒ'(2).

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Q: Evaluate 2* |cos(z) — 1| dr. -

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Q: Determine dyldx y= (r' +2)°and 1 = x %3D 2x² + 2x 3 5(x + 2) 3 Option 1 O Option 2 1 x2 +x2 2 (x +…

A: See  this  solution in below

Q: Answer the question in the space provided and in full details. Show ALL your steps and your…

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Q: Find the volume of the solid generated by revolving about the y-axis the region bounded by the given…

A: First we should recognise the small volume dv and then integrate it between the appropriate limits.

Q: 1. Find the third-degree polynomial P such that two of the zeros are 4 and 1 + i and such that P (2)…

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Q: Find all the values of x such that the given series would converge. 00 (2x)" Σ n8 The series is…

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Q: For the function (a) Find the domain of g(x). (b) Simplify g(x). (c) Find any discontinuities in the…

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Q: 3. Find the area bounded by the curve y = x² - 7x + 6 and the x-axis and the ordinates x 2 and x =…

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Q: Find the area of the surface obtained by rotating the curve y=1+3x² from x = 0 to x = 9 about the…

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Q: Find the area of the region bounded by the graphs of the equations. y = 1+√√x, x=0, x= 8, y = 0…

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Q: Find the area bounded 1. 2x2 + 4x + y = 0,y = 2x

A: Sketch the region

Q: ecosh z √x+1 Let F(x) S 1. Find F(0). 2. Find F'(x). sin(1 t) dt.

A: Let's find value of given function.

Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y=2. The cross-sections…

A: A solid lies between planes perpendicular the the y‐axis at y=0 and y=2. The cross‐sections…

Q: Over the interval shown above, the associated marginal cost is... O Increasing, then decreasing O…

A: given

Q: Find the interval of convergence of the power series: E (x- 3)"-1 (-1)" 72 a) (-1, 1] b) [2, 4] c)…

A: Use ratio test for checking the convergence

Q: Find d (7ª). Type In(x) for the natural logartihtm function. dx

A: Given query is to find derivative if the expression.

Q: Assume that f(x) has a critical point at x = c and that f"(c) = 0. Select the correct statement. A.…

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Q: 3= (5,-2) v=(-3,8) w+v If we add the two vectors, what's the correct visual representation of that…

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Q: 5. fx³√√4 - 2x² dx

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Q: Solve for x. log₂ (x-6) + log₂ (x-4)= 3

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Q: er the questions below: I z²,e²,4x³z + ye² COS Z > done by F in moving a particle along the cur π Ả…

A: We have to find the following conditions according to the given information

Q: Find the area of the region that lies indie the circle r = 3 sin 0 and outside the cardioid r = 1 +…

A: Concept: Cardioid: A cardioid is a geometric figure with a heart configuration. It is the location…

Q: Find the equation of a plane through the points (6, – 4, 4), (3, 6, – 4), (4, – 8, 3).

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y=2x + 1 and…

A: find intersection