33 ow your work and explain, in your own words, how you ar relevant explanations may receive reduced or no credit. ΩΣ IN Click for List Equation Editor Number: QEE E A- A-T BIUS Styles Font Submit Assignment Mdmat Quit

Q: Write the expression in standard form a +bi. Simplify your answer. 2 Cos A 78 + i sin ANSWER FORMAT…

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Q: that the indicated family of functions is a solution of the given differential equation. Assume an…

A: The given differential equation is;  d2y/dx2 - 6dy/dx + 9y=0

Q: .1/3 Let ƒ(x) = x¹/³, and let T₁(x) be the nth Taylor polynomial of f centered at a =

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Q: If f is a differentiable function and f'(x)=x4 point at =x²+2x³ - 15x²2, then f has an inflection 3

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Q: (i) [² sin(x) sin (cos(x)) dx 0

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x). VA Explain,…

A: Given: Aim:  To draw the sketch of f'(x).

Q: f(x) = x² - 4 - 2 k-x X if x # 2 if x = 2

A: A function f(x) is continuous at x=2 if left hand limit and right hand limit and the function at x=2…

Q: The equation of the line that goes through the point (5,9) and is perpendicular to the line 4x + 2y…

A: given line goes through the point (5,9) and perpendicular to line 4x+2y=2

Q: The total U.S. personal income I (in billions of dollars) can be approximated by I=535.6(1.054)t  ,…

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Q: Find an explicit solution of the given initial-value problem. x2dy dx =y-xy, y(-1) = -4 y =

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Q: Which of the following are separable differential equations? A. y = 2x - 3y +1 B.(4)=x+y □ C. 2xydx…

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Q: Find all values of m so that the function y = xm is a solution of the given differential equation.…

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Q: Evaluate the double integral (3.x - y) dA, where R is the region in the first quadrant enclosed by…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

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Q: Let f(x) be a continuous and differentiable function such that f(3)=7 and 2 < f'(x) < 4 for all x.…

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Q: Find the arc length of the curve x = 5 cos(5t), y = 5 sin(5t) with 0 ≤ t ≤ π.

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Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given graph about the…

A: We have, y=x2 , y= 2x, about the line x= -1

Q: 15, Suppose a company has fixed costs of $1200 and variable costs per unit of 16x + 1620 dollars,…

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Q: Find the point at which the line meets the plane. x= −3+6t₂ y = −4+5t, z= −3+4t, x+y+z= -25 The…

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Q: Suppose Vf(x, y, z) = 2xyze+²; 2xyzex²; + zet²j + yex² k. If f(0, 0, 0) = 1, find f(3, 2, 2).

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Q: f(x) = √√/x = -²x³12 about the x-axis for 1 ≤ x ≤ 3. .3/2

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Q: Each of the following problems addresses a course SLO for Math 21. Each individual student completes…

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Q: What are the answers for the letters d, e, and f? Thank you!

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: The slope of the tangent line to the curve is equal to the derivative of the function at the given…

Q: company has revenue function R(x)=8000x-40x2-x3 (in dollars) wehre x is the number of items sold. A…

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Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

A: A sphere is given having a hole and we need to find out the volume of the resulted solid.

Q: Complete the table. f(x) = X f(x) ( - 11/1 x + 0 -3 -1 0 1 3

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Q: Evaluate the definite integral. 7 7 4 X X-5 X X-5 dx = dx

A: To evaluate the following definite integral. ∫47xx-5 dx

Q: Use the chain rule to find dw dt dw dt W = In (√x² + y² + z²), x = 9 sin(t), y = 8 cos(t), z = 5…

A: W=lnx2+y2+z2 x=9 sin(t) y=8 cos(t) z=5 tan(t)

Q: In this problem, y = c₂ cos(4x) + C₂ sin(4x) is a two-parameter family of solutions of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Cheap Chips Corp. has determined that the profit, in dollars, derived from the production and sales…

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Q: 2. Determine the cartesian equation for a line that passes through the point (4,-3) and is…

A: The line passes through the point 4,-3 and is perpendicular to the line r→=2,-3+t5,-7 Therefore, the…

Q: A tower that is 110 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun…

A: The given image is:

Q: by identifying the domain and any symmetries, finding the derivatives y' and y'', finding Graph the…

A: We have,   y=x4+256x2

Q: 2. For the vectors a = (1, 2, 3), b = (2, 1, 3), and c = (1, 1, 0), show that the following is true:…

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Q: Find the distance from the point to the line. (-2,2,-4); x = 2+2t, y=3-t, z=-1-3t The distance is…

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Q: (ii) y = e2x cos(1+2x²) (1+2x²)

A: y=e2xcos1+2x21+2x2

Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ(x, y)=2x² + y² subject to the…

A: fx, y=2x2+y2subject to the constraint x2+y2=1

Q: What is the product of 5 and 1.0\sqrt(72) in simplest radical form? Please explain, correct answer…

A: 172 = 136*2           = 1(36)*2          =  162 now we rationalize it         = 162* 22         =…

Q: Solve the given differential equation by separation of variables. y In(x) dx = (y + ¹)² dy

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Q: Compute the area of the surface parametrizes by r(u, v) = (u cos v,u sin v, 1-u²), where 0 ≤u ≤ 1,0…

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Q: Which of the following is not a differential equation? d²y = 12 +2 O A. dt² O₂ B. O C. D. 4+y = 2x +…

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Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

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Q: the two-dimensional object. An oversized hockey puc = g _52+6. 495 2

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Q: y = c₁ cos(3x) + C₂2 sin(3x) is a two-parameter family of solutions of the second-order DE y" +9y =…

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Q: I. Find the given vector. 1. e, where v = (4, -2, -1). 2. Unit vector in the direction opposite to v…

A: 1. v=4,-2,-1 2. v=-4,4,2

Q: Is the line x = -8-6t, y = −8+9t, z = -9t parallel to the plane 3x+y-z=9? Give reasons for your…

A: To find the dot product of given line and find the line is parallel or not.

Q: Compare the functions f(x) = x³ and g(x) = ex by graphing both functions in several viewing…

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