Find the terminal point of if the initial point is (-8, 12). The terminal point is (i v = 11i - 6j

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Q: How do I get the explicit solution of the exact ODE (5y−2x)y′ −2y=0?

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Q: 8. Practice similar Help me with this Calculate the integral, if it converges. If it diverges, enter…

A: The given integral is 1/(x2+9), limit 1 to infinity.

Q: Find the limit by rewriting the fraction first. xy-y-3x +3 X-1 lim (x,y) →(1,5) x #1 lim (x,y)…

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Q: 11. Practice similar Help me with this Find the area under the curve y = 4xe¯ª for x ≥ 0. area = -

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Q: Consider the following. -x³ + 4, -x² + 4x, Find the critical numbers. (Hint: Check for…

A: We have to solve following sub parts.

Q: your answers. 5 -3 -6 1. [ 1 7 _3]

A: As per the rules we are supposed to answer the first question and rest other can be reposted.

Q: Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of…

A: We first find the profit function.  P(x)=R(x)-C(x)P(x)=px-C(x)P(x)=(10 − 0.0003x)x-700 + 8x +…

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A: Given that , I=∫0∞-2xx2+1-C2x+2dx

Q: Consider the function f(x) = 4x² - 4x4.

A: Given, f(x)=4x2-4x4

Q: 15. Consider a box with dimensions 3 cm x 5 cm x 11 cm. If all of its dimensions are increased by x…

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Q: Find [5 50e0.03x dx

A: I=∫50e0.03xdx∫eaxdx=eaxa+c

Q: Use logarithmic differentiation to find the derivative of the function. y = x6/x x²

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Q: Find exactly the vector oppositely directed to v = (3) and half the length of V. i i

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Q: For the following trajectory, find the speed associated with the trajectory and then find the length…

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Q: 7. Set up the integral for the total fluid pressure of on the plate submerged in water in the…

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Q: Solve the following differential equations. sin x)dx 1. dy=[ytan x + +e²x

A: We can solve it as below.

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Q: 1. Draw and set up the integrals for the area in the 1st quadrant enclosed by x = 4y² and x = y¹/2.…

A: I have solved step by step in detail...go through the solution

Q: r = ep 1 - ecose

A: Given    r=ep1-ecosθ

Q: Find the smallest positive root of the equation ex cos(x) 201 Correct to 4-decimal Places, take Xozl…

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Q: Use interval notation to indicate where f(x) = x+2 if x 1

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Q: A tank contains 100 gal of fresh water. A solution containing 5 lb/gal of soluble lawn fertilizer…

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Q: 3. Given the table below showing the yearly salary based on years experience with the company for…

A: Solution: a) Let's take any two point (1, 22000) & (15, 34800)

Q: Consider the region R enclosed by all of the curves y sin z, y = cos z, z = π/2, and z= . Which of…

A: Find the volume of solid

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Q: 10. S 1 x²+2x dx

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Q: Use closed interval method to find the absolute max and min values of f(x)= x/(x^2 +2) on the…

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Q: After his graduation, a Wilfrid Laurier University student departed Earth to find work on Mars. A…

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Q: (a) Compute s3 (the 3rd partial sum) of s = 83 7.25 71=1 Note: if giving a decimal approximation to…

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1,100- dv V…

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Q: Set up an integral for finding the Laplace transform of the following function: where A f(t) = =…

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Q: In the figure below, set-up the integral expression when the area bound by the functions y = the x =…

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Q: y-axis. find the area of the surface obtained by rotating the curve about the y = x², 0≤x≤ 2 y=x+1,…

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Q: Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly profit (in dollars)…

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Q: t After a patient takes a medication the amount of drug in the bloodstream (in my per L) after +…

A: A=20e-0.35td dt(et)=et

Q: Consider the following series. n = 1 Find the following limit. (If the limit is infinite, enter 'co'…

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Q: 3 Find the derivative of: -10√x + x³ Type your answer without fractional or negative exponents. Use…

A: The answer is in step 2.

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A: Let us assume that the two pine board sides are of length x ft each And let the length of the steel…

Q: Find u from the differential equation and initial condition. du dt _____ el.8t-2.3u, u (0) = 3.7.

A: dudt=e1.8t-2.3u   given  u(0)=3.7

Q: Suppose f(x) = xe-³x, 0≤x≤ 2. Use the Closed Interval Method to find points at which the absolute…

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Q: 2 -P B + 200, where p is the price in dollars. If 104 Suppose the demand for a certain brand of a…

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Q: At what points is the following function continuous? f(x) = x²-2x-8 X-4 6, 1 x #4 x = 4 The function…

A: f(x)=x2-2x-8x-4,x≠46,                   x=4at x=4, f(x)=6

Q: Find a function f(x) such that f'(x) = 7e² + 4x and f(0) = −2 f(x) =

A: We need to find out the function.

Q: If ƒ(x) = 5 + 4x − 5x², find ƒ'(0).

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Q: Find the component form of the vector v in 2-space that has the length ||v||=18 and makes the angle…

A: To Find : Component form of the vector v in 2-Space that has the length ||v||=18 and makes the angle…