Find a bif a= (4, - 1,5) ar . b = (-3, 8, 5).

Q: 46. A triangle with sides 5,5 and 6 feet is submerged vertically in water (p=62.4 lb/ft³) with the 6…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: Find r'(t), r(t), and r'(to) for the given value of to. Then sketch the space curve represented by…

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Q: Let f(x) = { 3x² +2, if x < 2 2x - 3, if x ≥ 2 be a piecewise function. Evaluate [₁ f(x)dx= [

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Q: Question 1 Consider the points A(2,-1,0), B(3, 0, -2), and C(0, -3, -1). (a) Find the equation of…

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Q: Find the following for the given equation. r(t) = (t² + 3t)i + (t² - 3t)j (a) r(t) = (No Response)…

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Q: The graph of the second derivative f" (x) is given below. On what interval(s) is the function f(x)…

A: Solution

Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(?) and y = r sin(?), and note that (x,…

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Q: 16. A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x)…

A: We need to find P(x).

Q: True or False: The definite integral 2 1² is equal to Select one: True O False 2/₁² (2x + e*)dx xdx…

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: answer is in next step . please give a like !!

Q: = Consider the region B under the graph of y x = [5,7], and above the x-axis. 2² +7 x+5 J Estimate…

A: We want to find estimated area using left and right endpoints.

Q: Find the general isolation of the following: 1. (x³y³+1)dx +x+y²dy=0

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Q: 21) In a triangle ABC, B = 65°, C = 45° and a = 10. The measure of angle A is : a) O 90° b) O 80° c)…

A: I am attaching image so that you understand each and every step.

Q: Evaluate 2 1.³ sin(2x + 3)dx -0.9989 None of them -0.9998 1.21 0.9989 -0.9899 0.9899

A: ∫0π/2 sin(2x+3)dx here we have to integrate then apply limit  integration of sinax = -cosax/a apply…

Q: Solve the differential equation by variation of parameters. y" - 2y + y = et arctan(t) y(t):

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Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

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Q: Problem 2 Solve y" - 25 y = x ex

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Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: We need to find f'(x).

Q: lim h→0 (e) cos( 4 + h) h 1

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Q: Solve the given differential equation by undetermined coefficients. y" + y = 3x sin(x) y(x) =

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Q: Find r'(t) r(t) = e-ti + 7j + 4teck r'(t) = (No Response) Need Help? Read It Watch It

A: Let's find derivative of given function.

Q: Using [ y = e^(2x) (c1 + c2) + 3/2x2 (2x) ] and [ y = ( c1 + c2x ) e^(2x) + 3x/25 sinx + 4x/25 cnx +…

A: The given differential equation is;  y'' - 4y' + 4y = 3e2x + xsinx

Q: Find all solutions to the equation. tan 0-1=0 Write your answer in radians in terms of it, and use…

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Q: The graphs of f(x) and g(x) meet at x = 1. Evaluate lim g(x) x-1/(x)

A: Given: the graph of f(x) and g(x) meet at x=1

Q: A tenant dropped a spoon from the top floor of her apartment building and it fell according to the…

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Q: ydy 2 √16-94² S

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Q: Determine whether​ Rolle's Theorem applies to the following function on the given interval. If so,…

A: Rolle's theorem states that if a function f(x) is continuous on the closed interval [a, b] and…

Q: According to the ideal gas law, the pressure P, temperature T, and volume V of a confined gas are…

A: To find out the change in pressure using the differentials.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 2t, where 0 ≤ t ≤ 3…

A: Here, the displacement is: S(t)=-t2+15t

Q: Evaluate the ff (show all steps) Y x dx x ³ - 2x² - 2x - 4

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Q: Problem 3 Find a curve in the xy-plane passing through the point (1, 3) and for which the normal…

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Q: Determine the location and value of the absolute extreme values of f on the given​ interval, if they…

A: To determine the location and value of the absolute extreme values of f on the given interval, if…

Q: Congratulations! You won a contest sponsored by a local radio station. If you were given the choice…

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Q: f(x) = (x + 6)2/3 (a) Find the critical numbers of f. (Enter your answers as a comma-separated…

A: Given that fx=x+623a.find f'x=0 and solve x is a critical numbers.fx=x+623f'x=23x+6-13f'x=23x+613so,…

Q: Switch the order of integration of the following integrals, then evaluate: ƒ ƒ x sin(y²) dydx = x=0…

A: Explained below

Q: Q.2: Find the trigonometric Fourier series of the periodic function f(t), and show if it is odd or…

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Q: 3. The radius of a sphere ball is measured at r= 25 cm. Estimate error in the volume and surface…

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Q: f(x) = 5x 2x - 1 Español 1 Find f¹(x), where f¹ is the inverse off. Also state the domain and range…

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Q: an = arn+1 an arn-1 Option 4 The general term of geometric progression is an=arn a" = arn-1 Option 3

A: Topic = Series

Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 r=4.5 Option 4 O Option…

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Q: Problem3 Find a curve in the xy-plane passing through the point (1, 2) and for which th normal line…

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Q: Verify that the function satisfies the three hypotheses of Roll's Theorem on the given interval.…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 Option 4 O r=3 Option 2…

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Q: (a)i Find a vector equation and parametric equations for the line that passes through the point A(5,…

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Q: True or False: We have [x 3 Select one: True False xdx > [²x x² dx

A: Here we have to use the concept of integration

Q: L₁(x-3 (x-3)√x+3dx

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Q: Part b: ( a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel…

A: as per company guidelines we solve only first question when multiple question being posted.

Q: 5 Laplace transform, solve y" - 4y' + 7y = 0 y(0) = 3 , y'(0) = 7

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Q: 3 2 X'+X +2x + 30 - 2 (22-3x+29 2) -dx

A: Let's integrate given integral.

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral Sc dx 8 x-6 x+8 Write your answer exact…

A: (a) From the given integral, the function is fx=x-6x+8, a=6, b=8 and n=6. Note that, the formula for…