Find the point at which the line F(t) = < 8, 2, 1 > + t < 4, 8, 1> intersects the yz plane. 1 2 Fat

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Q: n 3 3 3 = ² [3(4 + (−1)²) * - 8 (4 + (6 − 1)-²)] 2 (i (i . i n definite integral, that is provide a,…

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Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (3, 1) in the direction= =…

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Q: Consider the function f(x) = 6√x+8 on the interval [2, 9]. Find the average or mean slope of the…

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Q: n Use the "summation formulas" to express the following sum in closed form. Your answer should be in…

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Q: company with 20 workers can mass-produce surgical masks in 3 days. However, due to the pandemic,…

A: I have appended the formula used in the solution part of the question

Q: Sketch the area represented by g(x). O O O O g(x)= Find g'(x) in two of the following ways. (a) by…

A: To sketch the area represented by gx.gx=∫1xt2 dtTo find g'x in two of the following ways.a by using…

Q: Which of the numbers 1, 2, 3, 4, 5, and 6 are critical numbers of the function graphed below?…

A: We have to choose the correct option from the given options according to the given information.

Q: Verify that λ; is an eigenvalue of A and that X; is a corresponding eigenvector. = λ₁4, x₁ = (1, 0,…

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Q: Solve the equation cos=-for 0° << 360°. You may use a diagram involving a special right angle to…

A: Given:- cosθ=-12

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Q: The revenue and cost functions for the sale of a particular product are given below (where x…

A: The revenue and cost functions for the sale of a particular product are given below (where x…

Q: Calculate the following: a) f'(x) if f(x) = 1+x² x - ln x dy where x and y are related by x = t³ +…

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Q: 3. Find value(s) of a and b so that the planes 2x+y-z = 0 x+2y+3z = 0 3x+ay+2z+b=0 (a) intersect in…

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Q: Graph the set of points whose polar coordinates satisfy the equation r = 2 and the inequality 0≤θ≤π.

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Q: Given the function f(x)= e^x/(1+2x)^2, compute f’(1).

A: Given the function f(x)=ex(1+2x)2, compute f'(1).

Q: 54. Let f(x) = ={₁ (A) lim+f(x) (C) lim f(x) x--2 x + 3 √x+2 if x -2 (B)_lim_ƒ(x) (D) f(-2) Find

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Q: Solve for the general solution: x2y" - xy' - 3y = 0. Oy=c1 x + c2 x^3 Oy=c1 x + c2 x^(-3) Oy=c1…

A: Topic = Differential equation

Q: Give a possible formula for the function below. Let A = (1, 14) and B = (2, 98). Use the general…

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Q: 1² cu (u + 4)(u - 5) du

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Q: Solve for the general solution: (D³ - 2D²) = 0. Oy=c1 e^(-2x) + c2 xe^(-2x) + c3 x^2 e^(-2x) O y=c1…

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Q: Graph the set of points whose polar coordinates satisfy the equation θ = 8π/9​, r ≥ 0.

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Q: for the discrimanat here dont we do (Uxy)^2-(Uxx*Uyy)

A: Please see the below picture for detailed solution.

Q: Graph the set of points whose polar coordinates satisfy the equation r=6.

A: Given polar equation r=6.We need to graph the set of points whose polar coordinates satisfy the…

Q: K 6 isocost 3 L Based on the information in the graph aboive, what is the slope of the isocost line?…

A: Please see the below picture for solution.

Q: Solve for the particular solution: (D2 + 1)y= 10 sin(x) Oyp = -2x sin(x) O yp = -5x sin(x) Oyp = -5x…

A: Topic = Differential equation

Q: 4. Calculate the following limits with justifications: (1 + )" n+1 (a) lim ( ₁ + 1)^² ¹ 71 n (b) lim…

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Q: cotx+tanx cotx— tanx sec 2x

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Q: Find all the values of t so that 4et > 0.

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Q: Solve for the general solution: D^3 - 6 D^2 + 11 D-6=0 Oy=cle^x + c2e^(2x) + c3e^(3x) O y =…

A: Given :D3-6D2+11D-6=0

Q: =) Even though it is possible to notice that √x + x² ~ 3x (x → 0), this does not allow to conclude…

A: I have solved step by step with all explanations...go through the solution

Q: Find the volume of the parallelepiped determined by the vectors a = (4, 5, -1), b = (0, 3, 4), c=(2,…

A: The given vectors: a→=4,5,-1b→=0,3,4c→=2,5,1We need to find the volume of the parallelepiped.

Q: * Your answer is incorrect. Joe invested $20000 in the stock market, while Sam invested $30000.…

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Q: If the supply function for a commodity is p = q² + 7q + 16 and the demand function is p = -3q² +59 +…

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Q: where and y are related by x = t³ + 3 tant, y = e²t + cott. ( answer in terms of t.) dx c) y'(x)…

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Q: Problem #6: Which integral below represents the area of the region bounded by y = lnx, x = 1, and y…

A: Given curves:- y=lnx,x=1 and y=1

Q: Jse the special factoring methods to factor the following binomial. If it cannot be factored,…

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Q: Let v = 17 + 37 and w = 17 + 9j. 3j Find an exact number c so that w cv is perpendicular to v. C =

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Q: Use properties of logs to simplify the ex- pression log-(r-√²-14) + log7(x + √²-14). Select all that…

A: use the property of log property .

Q: A4. (a) Use the quotient rule to show that tan' sec²0, and then determine tan" 0. Hence determine…

A: We have to use the quotient rule and determine the Taylor polynomial also verify the Mean Value…

Q: Find the general indefinite integral. (Use C for the constant of integration.) √(x² + 2x - 5) dx…

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Q: Suppose that a 93 93 93 Σαΐ a = 10 and b; = 16. Compute the sum. i=1 i=1 i=1 (-3a; - 13b;)

A: we need to compute the sum

Q: Find the domain of the function. (Enter your answer using interval notation.) x + 4 x² - 25 f(x) =

A: Find domain

Q: If f(1) = 5, must lim f(x) exist? If it does, then must lim f(x) = 5? Can we conclude anything about…

A: NOTE: Refresh your page if you can't see any equations. . it is given that,  then    may not exist:

Q: | 2.x √√2x-1 dx

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Q: the Squeezing Theorem: iven a sequence {a}, suppose that there exist two other sequences {b} and Cn}…

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Q: Solve for the general solution: D³y = 0. Oy=c1e^x + c2x e^x + c3x^2 e^x y=c1+ c2x + c3x^2 Oy=c1 e^x…

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Q: Problem #5: Suppose is a continuous function on [a, b]. Define the values A = Which of the following…

A: We need to choose correct option.

Q: 3π Use a cofunction to write an expression equal to csc 8

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Q: Suppose a computer manufacturer has the total cost function C(x) 80x + 3600 (in dollars) and the…

A: given  C(x)=8x+3600R(x)=380x