(A): If A = 4 2 -2 Find AB and AC. 2 1 -1 2 3 11 0; B= 2 -2 -2 and 1 l-1 2 1. 3 1-31 C=02 6 l-1 2 1

Q: What is the radius of the circle defined by x + y - 6x + 4y - 1 = 0

A: Given : x2+y2-6x+4y-1=0 To find radius of circle

Q: , 4x²+x+17 (x+1)(x²+4) dx I

A: Hee, to evaluate the given integral we have to rewrite the rational function.

Q: The velocity function the time interval [-3,5]. article moving along a line. Find the displacement…

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Q: Find d7 dx> d7 dx7 -(46 In(x)). -(x6 In(x)) =

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Q: fe e sin xdx

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Q: Find f if f"(x) = 2 + cos(x), f(0) = -1, f(π/2) = 2. f(x) =

A: Find f if f"(x)= 2+cos(x), f(0)= -1 , f(π/2)= 2

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s…

A: We have to find the linear approximation.

Q: Question 3 Given the U= {1,2,3,4,5,6,7,8,9,10) and A = {3,4,5,6,7} B = {1,5,7,9} C = {3,6,9} D =…

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Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(0) and y = r sin(0), and note that (x,…

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Q: Find all the zeros. Write the answer in exact form. n(x)=x³-7x² +13x-3 If there is more than one…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: Given that, the position vector is rt=3t,4cost,4sint. Obtain the velocity.…

Q: 3. What is the distance between two points (3,-1) and (-2, - 5).

A: Solution:formula: Distance between two points x1,y1 and (x2,y2)                Distance =…

Q: QUESTION 2 The equation ut = 2uxx is O a partial differential equation in one variable O an ordinary…

A: Given: ut=2uxx

Q: 2 Find the average rate of change of the function f(x) = x² + 7x from x₁ = 4 to x₂ = 5. The average…

A: Use average rate formula

Q: P 1. por Find a power series representation for the function f(x) = 92 and determine the radius of…

A: We have to find power series representation of given function and radius of convergence.

Q: dx 2. √ √x

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Q: Given f(x) = 3x² Rn = 6, find a formula for Rn on the interval [2, 5]

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Q: 2. 01 S -1-1 (x+y+1)dxdy

A: The Solution is given below

Q: 4. What is the length of the latus rectum of the ellipse whose equation is + = 1. 16 25

A: Latus rectum of an ellipse is a straight line passing through the foci of the ellipse and…

Q: 4. At which points does the function f have absolute maximum or minimum, or local maximum or…

A: Absolute minimum:- Minimum value of total function Absolute maximum:- Maximum value of total…

Q: Which of the following functions describes the graph of g(x)? -10- + O g(x)= O g(x)= (2) 2²-8 2²-8…

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Q: Given the points A(-6, -5,5) and B( −6, −5, 1). Question 3 a) Write parametric and symmetric…

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Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹-x² - y² O O X x

A: Given that       f(x,y) = e1-x^2-y^2

Q: Find all critical points of the function g (0) = sin² (120). Express your answer in terms of . (Use…

A: This question is based on general solution of Sine function.

Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j+5k 4i + 5j-6k ;

A:

Q: dx d dx dx d dx -sinu d dx -tanu dx dx d dx d dx COSU dx cot u secu CSCU √u A.n+un- B. au* Ina*. C.…

A: Please see the below picture for detailed solution.

Q: - 1. 1 [(ow + √w) dw

A:

Q: 9x¹+x x-100 2x¹45x²-x+6 iv. lim

A: Given limx→∞ 9x4+x2x4+5x2-x+6

Q: Use the limit definition of partial derivatives to find fx(x, y) and fy(x, y). f(x, y) = x2 − 4xy +…

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Q: Find the cross products uxv and vxu for the the vectors u=2i-j-2k and v= i +3j-2k.

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Q: Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: Given:

Q: 3. xdx (x²-7)

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Q: 3x 9. fxdx A.ln(e6x + 1) + c ₂-6x + c 3x c.exe Barctan (e6x) + c D.†arctan(e3x) + c

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x= xo and then find the nth Taylor…

A: Taylor series of function fx at a is defined as:…

Q: The pH can be calculated using the equation pH = -log(H"), where H" is the hydronium ion…

A: We can find the hydronium ion concentration as below.

Q: 2π π +][im [[(sinx + cosy)dxdy πο 5.

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Q: e (5-x) dx = xydy

A:

Q: There were approximately 2.69 million deaths in the United States in 2015 express this quantity in…

A: It is given that, in 2015, there were approximately 2.69 million deaths in the United States.

Q: B. A rock is vertically thrown upward from the surface of the moon at a velocity of 24 m/sec. 2 The…

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Q: (Simplify your answer. Type an exact answer, using radicals as needed.) b. y = (Type an exact…

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Q: Use logarithmic differentiation to find the derivative of the function f(x) = (sin 7x)/x c) Coal is…

A:

Q: The equation u, 2uxx is a partial differential equation in one variable an ordinary differential…

A: Here we will find the correct option,

Q: The masses m, are located at the points P₁. Find the moments Mx and My and the center of mass of the…

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Q: B. Solve the following equations for y. Answer two only. i.__8(2y-³) = (-¹)(V-2), 16 e√y = 1² In(y +…

A: We can solve for 'y' .

Q: 1. Given the space curve r(t) = (2e¹,e²¹.e^¹), find the curvature at t = 0

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

Q: A pizza company is building a rectangular solid box to be able to deliver personal pan pizzas. The…

A: The given data is: A pizza company is building a rectangular solid box to be able to deliver…

Q: Find the distance between the pair of points (5.5,7.2) and (-0.5,4.2). If necessary, express the…

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

Q: A cable is to be run from a power plant on one side of a river 900 meters wide to a factory on the…

A: pythagoras theorem = H2= B2 + S2 WHERE H= HYPOTENUSE B=BASE S =SIDE

Q: Find normal line and parallel plane to the function f(x, y, z)=√xyz-4 At point (1,2,8).

A: