Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim-00 2n+1 2. log10 (3x - 2) = 2 if and only if x 3. If x>0 then enx = ..........

Q: Use Linear Approximation to estimate the quantity 1 80.5

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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: H.W: Evaluate the integral 30 [ (x²y - 2xy)dydx 0-2 1. 3. 5. 3 1 [ [(2x - 4y)dydx 2π π [[(sinx +…

A: 5.The given integral,        ∫π2π∫0πsinx+cosydx dy

Q: Find f(145) (x) for f(x) = 83x¹0⁹. Simplify your answer completely. f (145) (x) =

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Q: Suppose that f is integrable on [-4, 7]. If the average of f on the interval [-4, 7] is 4.25, fin 4…

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Q: Ỉ Ỉ y=0 x=0 (r’–6xy® +5y*) dxdy =

A: Given, ∫02∫03x2-6xy3+5y4dxdy

Q: Write a recursive formula for the geometric sequence an given below. 10,10/3,10/9,10/27,10/81,…

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Q: Question [ a) [ b) s]: Show all your work. : Evaluate then find f(x). c) ¹ [(x+3) √/x-3dx J: If 1 […

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Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A: The objective of the question is evaluate the indefinite integrals.

Q: 11. According to the College Board, the average in-state tuition and fees for public 4-year colleges…

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Q: (-3,-2); find tan

A: tan = y/x tan = y component/x component  here  y = -2 x = -3

Q: 2. Find the equation of the line tangent to the circle x² + y² + 6x - 2y - 15 = 0 at the point…

A: Here the given circle is , x2+y2+6x-2y-15=0 We need to find the tangent to this circle at the point…

Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(8) and y = r sin(8), and note that (x,…

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Q: Compute the indefinite integral of the following function. r(t) = (13 cost,7 cos 5t,3 sin 6t)

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Q: Find three mutually orthogonal unit vectors in R³ besides ti, tj, and tk There are multiple ways to…

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Q: Find f'(x) for f(x) = - 8A√x - 5Bx⁹ where A and B are constants. Completely simplify any fractions.…

A: Solution of given question is written in below steps.

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: 11, 0-20² 2. 3. चं 5. T S cos 2x dx sin(²³) cos²(:-) / dx 2x-1 4x dx dx 6. 7. 8. S [² (x² + 0²³) dx…

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Q: A solid of revolution is formed by revolving about the x- axis the region bounded by the curve y √2x…

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Q: -9 (x-1) 8. √x dx

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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: Q2: Solve the following integral (1) 7x²+14x+15 (x²+3)(x+7) dx dx ; (2)

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

A: We have to find out find slope form

Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and…

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Q: What is the value of x if log, √x-1=2? O 82 65 O 19 0-8

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Q: 16. (yety-1/y) dx + (xey + x/y²) dy = 0

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

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Q: Consider the position function below. r(t) = (1-1²,3-5t4) for t≥ 0 a. Find the velocity and the…

A: Given;  r(t)=<1-t2,3-5t4).

Q: Question: 9 a)Use the second derivative test to determine whether the function has a local maximum…

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Q: Sketch the space curve. Function r(t) = (5 sin t, 3t, 5 cos t) 1.0 0.5 0.0 0.0 -0.5 -1.0 -5 N 0.5…

A: Please see the below picture for detailed solution.

Q: dy Q5: Find for the following functions: dx (3) y = et sin²x In√x

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Q: [3 37 tan5 x sec4 xdx Х

A: Given:

Q: 7√2 2 0 x² 49-x² dxl

A: The given integral,        ∫0722x249-x2dx

Q: 12. (2xy³ + 1) dx + (3x²y²-y¹) dy = 0

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

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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: (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: xdx x²+6x+18 7. f cos(lnx)dx 8. fest sin(at) dt 6. f

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Q: S 4sin x cos xdx I

A: topic- indefinite integral 2sinθcos(θ)=sin(2θ)sin2(θ)=1-cos(2θ)2

Q: 13. 2ny(8- y³/2) dy A) 4² (14 — y³/²) + C 7 2my 7 (14-y3/2) + C C) B) T² (14+y³/2) + C 7 D) 4²…

A: 13. The given integration is: ∫2πy8-y32dy To evaluate the given integral.

Q: Given the bivariate data: X12356 65431 (a) Draw a scatter diagram for the data A - Xy IN² 4 . . -10…

A: We have to calculate the least squares line.

Q: -2- 0 y = g(x) 4 7 x

A: To evaluate the integral.

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

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Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros…

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Q: Find a result by using exact for (sinxcosy)dx = -(cosxsiny)dy = 0 b. (x-6xy + y² + 10)dy = -(x² -…

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

Q: What is the radius of the circle defined by x + y - 6x + 4y - 1 = 0

A: Given : x2+y2-6x+4y-1=0 To find radius of circle

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) xy - 25 lim (x, y) → (5, 5)…

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Q: Describe the level curves of the function. z=x+y, c= -2, 0, 2, 3 O The level curves are parabolas.…

A: We need to choose correct option.

Q: F = (x²yz, - xy²z, -2xyz²)

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Q: Find the indefinite integral. (Use c for the constant of integration.) (2ti + j + 9k) dt 2ti + tj +…

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