If 0 ≤ an ≤ bn and bn diverges, then an diverges. Select one: O True O False

Q: Find the particular solution of the following second order differential equation d² y dy dx² --4-…

A: The given differential equation is :d2ydx2-4dydx-21y=-105x-209given that y0=11 ; y'0=39.

Q: In this question, consider the vectors 10 8 V1 ~- - ( ) - ~- - ( ) - - - () ---- () v2 = V3 = b and…

A: The objective of the question is determine the coefficient matrix" A" without simplifying.

Q: 2. Which graph is NOT a function? a) b) 20.00 0.00 0.00 c) n 20.00 x X d) 10

A: Option D  is not a function.  Because to qualify as a function, for every value of "x" there must be…

Q: 3 Suppose ff(x) dx = 4 and f g (x) dx = 3. f(x and 19 (a) da = 3 1 3 Evaluate f (3 f (x) – 4 g(x))…

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: dx b) √ COS √x cos(1-√√x) 818

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Q: Which if the following is a power series representation of the function f(x) a. Σ(-x - xn+¹) n=0 Ob.…

A: We have to find the power series representation for given function.

Q: X A company manufactures mountain bikes. The research department produced the marginal cost function…

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Q: Question 3 Evaluate the limit. Hint: Factor and enter decimal answer. x + 3 x-3 x² + 8x + 15 lim

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: We have to find open intervals on which the graph is concave upward or concave downward

Q: Evaluate [ f(x, y, z) ds. f(x, y, z) = x² + y² + z² S: z = x + y, x² + y² ≤ 1

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Q: Let à = (-5, 4, Find the projection proja b =< 4) and b = (-4, 0, -1). of b onto a. -

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Q: sec¹ (3x) b) ›1$ 3 tan³ (3x) dx

A: I have stated the used formulas in the solution

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: Given: ∫05|10x-5|dx

Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: Evaluate the definite integral. 1. 2 cos-¹(x) √1-x² dx

A: Given Problem:- ∫-11-2cos-1x1-x2dx

Q: Use spherical coordinates to evaluate the triple integral e-(x²+y²+z²) x² + y² + z² where E is the…

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Q: . A rectangle has a perimeter of 6x + 9x² - 10x +5 and a length of x. Find the width of the…

A: Given: Perimeter of the rectangle is 6x3+9x2-10x+5 and length is x.we need to find the width when…

Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8-7-6 -5 4 -3 13…

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Q: The cross product is anti-commutative. This means that axb=-bxa. Show this is true for a=(2,3,4), b…

A: Given  a→=2,3,4 and b→=-5,-4,-3. We have to show that  a→×b→ = -b→×a→.

Q: Find the partial derivatives fx (3,5) fy (3,5) for the function f(x,y)= y^2/x-y

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: Use reference angles to evaluate sec (11"). 3 Enter the exact answers. For the number 7, either…

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Q: Suppose a company's profits are given by P = x^2 y, where x is the amount of money they spend on TV…

A: given  P = x^2 y x+y=12

Q: 1 2 ¹/² (²1-5) dz. Write a limit using summations that would equal

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Q: A college plans to set up an endowment fund that will provide a scholarship of $5,000 at the end of…

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Q: Evaluate the definite Integral. Use a graphing utility to verify your result. [² (u - ) du

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Q: 2. a) Find and fully factorise the derivative of f(x) = (2x + 1)2 using expansion and the power…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: Find the area of a triangle PQR, where P = (-4, -2,-2), Q = (-5, 2, 5), and R = (-2,5,-4) Check…

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Q: Find a unit vector that is orthogonal to both = (1, 1, 9) and v = Enter vector brackets using the…

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Q: tim X-1 2 x² + ax +b = 2 find 9, and b a, X² + X=2

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Q: Find the mass of the two dimensional object that is centered at the origin. A plate of radius 10…

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Q: (a) Find an affine change of coordinates that takes the unit square with vertices in the uv-plane to…

A: (a) The vertices of uv-plane is given as , P*=0,0 , Q*=1,0 , R*=0,1 , S*=1,1 and the vertices of…

Q: 5) Show that to order O(h²), the central difference formula for the partial derivative მ3u(x,t) əx3…

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Q: 2. Consider the parallelogram ABCD where A(0,1,2), B(1,2,3), and C(0,3,5). [2] a) Find the…

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Q: Question 1 Find lim f(x) given the graph of f(x) shown below. x-5 +++ -10-9-8-7- Y 3 4 5 6 7 9 10 x

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Q: Find the area of the region between y = 6x² and y = x² + 7.

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Q: Differentiate the following function. You do not need to simplify the derivative. h(x) = 2x²ellz…

A: Topic = Derivative

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

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Q: er of cars produced when a dollars is spent on labor and y dollars is spent on capital invested by 1…

A: Topic:- application of derivatives

Q: ✓ ["1 [™ f(a)da - [* f(x)dx = - Sª f(x)dx and b where a = If what are the bounds of integration for…

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Q: = Using calculus, find the absolute maximum and absolute minimum of the function f (x) [-3,2].…

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Q: Find the cross product u x 7 where u = 2i -3j +k and = (7, - 3, 4). ü xü= Check Answer

A: We have u→=2i-3j+kor u→=2, -3, 1Alsov→=7, -3, 4

Q: , b) Find the angle ZB.

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Q: Which of the following is a linear differential equation? O da-t{1+t²) sec² ædt = 0 O…

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Q: SEND IN 20 MINUTES PLEASE !!!! Find the absolute max. and absolute min. values of f on the given…

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Q: Write a limit using summations that would equal n Answer: lim Σ N→∞ k=1 1 2 [ (²-5) dz. Submit A

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Q: The regions A, B, and C in the figure below are bounded by the graph of the function f and the…

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Q: The shaded region between the graphs of y x I I - 2x² + 20 and y = 3x - 15 is displayed below in 25…

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