If a vector has an initial point of (−3, −2) and a terminal point of (5, 9), what is the magnitude and direction of the vector? Round your answers to the nearest hundredth. Show your work

Q: . Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: (5x-5)dx 3x² - 8x - 3

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Q: Solve the initial value problem. y" - 9y" - 400y = 0, y(0) = y'(0) = y(0) = 0, y"(0) = 246

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Determine whether the differential equation (2x² − 2xy + 3) dx + (7y² − x² + 2) dy = 0 is exact. If…

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Q: Question 6 Find two numbers whose sum is "a", if the product of one to the square of the other is to…

A: Using algebraic operation

Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

A: As point is (0.422, -0.907), is lying on intersection of the unit circle and a terminal arm of θ,…

Q: his prism has a right triangle for a base. The volume of the prism is 54 cubic units.  Find the…

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Q: 5- Determine the value for x such that the points A(-1,3,4),B(-2,3,-1), and c(-5,6,x) all line on a…

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Q: 9+xn 5n n=0 An empty set since the series diverges Find the domain of ƒ(x) = Select one: O (-1,1) O…

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Q: 11. Find the standard form of the equation of the ellipse with: Vertices: (0, 15); Passes through…

A: 11) Given that the vertices 0,±5, which are on the y-axis and passing through the point 4,2  Since…

Q: 4x² + 4y2 +422-8x + 16y=1 presents a sphere, and find its center and radius.

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Q: Prove that sin²x x cos²x = csc²a-cot²x 4c8c²2x

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Q: Question 2. The Limit of a Function For the function h whose graph is given, state the value of each…

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Q: Use a Maclaurin series for sin x to obtain the Maclaurin series for f(x) = sin(x¹).

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Q: 3 2 Given f'(x) = 2x³ + 2x² + 3x, f(x) has: a. 1 critical point b. 3 critical points c. 4 critical…

A: We have to find the critical points

Q: 4. Given f'(1) = 4, g'(1) =— 2, ƒ(1) = 1, g(1) = 1, find h'(1) if h(x) = xg(x)+7 f(x)

A: Using definition if derivative of f/g

Q: (2x²9x9)dx x3 x³ - 9x

A: Here we have to do partial fraction and after that integration

Q: Consider the region bounded by y = e*+1, y = 1, and y-axis. 15 0.5 -0.5 0 Using the Cylindrical…

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny ex+y dxdy 0

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Q: You want to travel from point A to point D at the fastest possible time. You can walk faster along…

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Q: KIN T 2 2 6² 6³ 6² 0 0 ¢sinr do dr de

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Q: Solve for x sin(log2 (13x² +16x34) = y

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Q: Using laplace transforms solve for x and y: dx dy + + 5x + 3y = e-t dt dt dx dy 2 + +x+y = 3 dt dt…

A: Laplace transform of (i) Ldxdt=sX(s)-x(0),  Ldydt=sY(s)-y(0)(ii) Le-t=1s+1

Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

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Q: Solve for x sin (log2 (13x2 + 16x - 34) = y

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Q: 4dx 3r x-√√x² S

A: Let's solve given integral.

Q: ng the problem) an interval in which the solution of the given initial value proble (t-4)y' + (Int)y…

A: We have to find the interval of t

Q: A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling…

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Q: I. Find the general solution of the following: 2 dy = -2x + 3x -2x = 3e dx (x²+5)dx- (2y - 1)dy = 0…

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Q: 15. A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: 7. What is the y-value in the solution to the system? A. -1 B. 5 C. 3 D. 2 8. Solve the system by…

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Q: Solve the following x³-x²-√√2x limx→2²-11x+18

A: Above question is solved.

Q: Let f and g be continuous functions such that: [Fox f(x) = 3 And So, determine the value of: [2f(x)…

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Q: Determine the area below y = 3 + 2x - x² and above the x-axis

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Q: Use trig identities to integrate: sinxsec’xdx

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Q: Find the value of b for which the differential equation (yelory + x) dx + (bxe¹0ry) dy = 0 10xy is…

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Q: Find the determinant of the following elementary matrix by inspection. 10 0 0 01 0 0 E = 00-70 00 01…

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Q: The area of an equilateral triangle with sides of length x is given by the function √3 defined by…

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Q: Example 4: Find the equation of the plane through the point (-4, 3, 1) that is perpendicular the…

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Q: Find the Volume: Rotate the region bounded by y = √x, y = 3 and the y-axis about the y-axis

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Q: 1. Given the function f(x)=2-4x+ -. Please find the intervals of increase or decrease, absolute…

A: SOLUTION-

Q: An angle co-terminal to 19 6 11m 6 is

A: Given query is to find coterminal angle.

Q: Let f^’’(x)=-4x^2(x-4)^3(x+3)^4 You are given second derivative A) on which intervals is the growth…

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Q: Question 1 of 14, Step 2 of 3 1/20 Correct When a factory operates from 6 AM to 6 PM, its total fuel…

A: Given query is to find rate of consumption at 10 AM.

Q: 26. b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-3,2), D ,0). Find the equation of the…

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Q: A) Explain with short examples the algebraic vector properties. 1. A+B=B+A 2. A+ (B+C) = (A + B) + C…

A: To explain with the examples with the algebraic vector properties given.

Q: Find a cubic function y=ax³ + bx² +cx+d that has a local maximum value of 3 at -2 and a local…

A: According to our guideline the answer to answer only the first question if you want any particular…

Q: 1. Which of the following is equivalent to 3(x+4) - 6+5x? A. 3x + 12-x B. 8x-2 C. 8x + 6 D. 2x+6

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Q: 2x³4 Q1 Investigate the limiting behavior of_f(x,y)=- x4+y² as (x,y) approaches (0,0)

A: Along x=0 f→0y2=0

Q: 2. Show the volume of the solid obtained by rotating about the x-axis the region 1 under the curve…

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