Find a set of parametric equations of the line with the given characteristics. (Enter your answers as a comma-separated list.) The line passes through the point (-1, 4,-2) and is parallel to v = 7i-j.

Q: Use properties of power series, substitution, and factoring to find the first four nonzero terms of…

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Q: Assume the same spring-mass-damper system above (without the impulse forcing function) has the…

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Q: 1. 2. Required: (D² + 4D + 5)y (D² - 1)y 2 1+ex 50x + 13 e³x

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i - 8j as…

A: Suppose ABCD is the parallelogram with AB=i+j & BC=i-8j. So, the diagonals are AC and BD.

Q: Determine whether 65"+¹ is convergent or divergent. O divergent O convergent a=1

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Q: Determine the quadratic equation that has zeroes at -4 and 11, if f(-3)=56. Show all your work.

A: We have to determine the quadratic equation that has zeros at -4 and 11 If f(-3) = 56

Q: nsider the given vector field. F(x, y, z) = 3xye²i+yze k (a) Find the curl of the vector field. curl…

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Q: Evaluate 2T 3 ["* cos³² (w) sin³ (w) du dw. π

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Q: Use the integration capabilities of a graphing utility to approximate to two decimal places the area…

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Q: Evaluate the following integral [Y*arctan(1/2)de

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Q: Determine the intervals on which the function is concave up or down. 4 ^-1 +5 t w(t) = (Give your…

A: The solution is given below

Q: Determine the equation, in y= mx + b form, of the line that is perpendicular to the slope of the…

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Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00). f(x)…

A: Follow the procedure given below.

Q: What is Part C's answer, it's wrong. Please fix it.

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Q: Find the general solution of the differential equation. y(4) + 2y″ + y = 3 + cos(4t). NOTE: Use C₁,…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: XD² +8D³² +16) y = _ sinx Ans: Y = C₁ cs2x+C₂ Sin2x + C3 Xcos2x + 4x sin2x = 1/-_sing

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Q: If $500 is invested at 4% interest, compounded annually, then after n years the investment is worth…

A: We need to find out that after 6 years what will be the invested amount become.

Q: 27. Calculate the work required to lift a 10-m chain over the side of a building (Figure 13) Assume…

A: We need to determine work.

Q: Use the Comparison Test to determine whether the series converges. n1.2-8 2.3 +8 Identify b, the…

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Q: Find k, given f(x, y) = k(y² + xy) and [[ f(x, y) dxdy = 54 R R=0<x<y<2

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Q: Find the general solution of the given second-order differential equation y" 6y' +10y = 0 y(x) =

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Q: Convert the point (x, y, z) = (-4, 1, 2) to spherical coordinates. Give answers as positive values…

A: Given ' (x, y, z) =(-4,1,2).

Q: f(x) = In (x) + In (25-x²), (0,5)

A: 1st derivative test

Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Let f(x) = (x - 11)3/5. Find the critical points c that correspond to local minima. (Use symbolic…

A: topic - critical points , Local extrema and points of inflection

Q: 2 Solve the following ODES by Inverse Operator metha ● 2 (D²+1) y = cos x Ans & Y = C₁ C3 x + C₂…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: (a) Graph the function f(x)=-=x+4, -3 < x≤6 3 (b) Graph the inverse function of f(x) on the same…

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Q: Integrate 4xdx Saxax 3√2x² +3

A: This question is based on solution of indefinite integral by substitution method.

Q: 1 (2+ √y)

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Q: A 1-kilogram mass attached to a spring whose constant is 18 N/m, and the entire system is then…

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Q: Given the revenue and cost functions R=36x-0.3x and C= 4x + 13, where x is the daily production,…

A: topic - functions and rate of change

Q: 10. S 1 √√x+ ³√x dx

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Q: Select a formula for the general term ³ of the sequence, assuming that the patt of the first few…

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Q: Find f'(x) when f(x) O O O ƒ'(x) = f'(x) = f'(x) = f'(x) = f'(x) = (x² + 7) cotx 6 COSXCSCX 2xcotx −…

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Q: Find k, given f(x, y) = k(y² + xy) and [ [ f(x, y) dxdy = 54 R R=0 < x < y < 2

A: Given problem:- Find k, given f(x, y) = k(y² + xy)  And ∫∫R f(x, y) dx dy=54 where R…

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

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Q: 3 Factor (x + 7)³ + (− 3x + 1)³. Show all your work.

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Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $10 the…

A: In this question we have to find the ticket price that would maximize the revenue.

Q: Find three first order partial derivatives of the following function. f(x,y,z)=(x/y)*sin(z)

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Q: Use the point on the line and the slope of the line to find three additional points that the line…

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Q: x) = y" - y² + ²y = 4 + = 4 + ex/2

A: We will solve  the given differential equation.

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A: Consider the curve  r=4+3cosθ

Q: Use the Comparison Test to determine whether the series converges. sin²(n) n² Identify b, the series…

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Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

A: Given, R(x)= 520x-0.02x² Taking first derivative for marginal revenue function we have, R'(x)=…

Q: Solve the differential equation by variation of parameters. y" + 3y + 2y We have found that the…

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Q: (a) Evaluate the double integral Je emax{z²,y²} where R = {(x, y) |0 ≤ x ≤ 1,0 ≤ y ≤ 1} is the unit…

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Q: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table…

A: Let's solve by using newton's law of cooling.