Find B in the partial fraction decomposition: 0-170 6 O 16 O 0 - 11 O - 5 6 none x²+2x+7 x3-10x2+21x = A+ + B x-3 x-7

Q: Find the area bounded by y = 4x -x^2 and x = 0, and y = 4 using two methods (vertical and horizontal…

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Q: 2x² + 5x-1 x³ + x² 3 -dx x² – 2x

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Q: Vector A has a magnitude of 8.0 m, South and vector D has a magnitude of 10.0 m, 530 W of N. Find…

A: To find out the vector product.

Q: J7 -dz 21-8

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Q: In³ w 3 w√In²w-4 mp

A: Given :∫ln3wwln2w-4dw

Q: Given A = -1 0 22]₁ compute 3A

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Q: r(t) = (−2√√ť² – 4, 3 sin (4t), 3 ln (−5 – 2t)), then the domain of r is given by the interval…

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Q: Starting from the same point, Angela starts walking eastward at 6 m/min while Jessica starts running…

A: Please see the below picture for detailed solution.

Q: Question 1 described by the vector function r(t) = (4t² ln t, t-4 29 -2e-³t). a) Find the integral…

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Q: r(t) = (−2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 Cos cos 4 where C is a…

A: Given:    rt=-2cos2t,3sin3t,ln2t then  ∫rt dt =∫-2cos2t,3sin3t,ln2tdt…

Q: 4. ff 3 dx dy 0 y

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Q: Choose the domain of the following function f(x, y)= ln(2x - y - 5) O None of the others O D = {(x,…

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Q: x² dx (x − 1) (x² + 4x + 5) Si

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Q: Which of the following rational functions is equivalent to the partial fraction decomposition 2x 2x…

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Q: A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east…

A: Using the Pythagoras theorem for the figure: Let, z be the distance between two vehicles. We have:…

Q: (4x² - 9)72 99

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Q: Minimizing Costs For its beef stew, Betty Moore Company uses aluminum containers that have the form…

A: Given  v = pi r^2 h = 45 h = 45/(pi r^2)   the metal used is just the surface area a = 2*pi r^2 + 2…

Q: Let Z=ellxy-56y and x = 56t6 + 6 and y =sin(s + 56). Use the dz дz Chain rule to find and Ət - ds

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Q: (x³ − 2y²)dx + 2xydy = 0 -

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Q: 5. fycsc²ycoty dy

A: 5) Given, ∫ycosec2(y)cot(y)dy

Q: a) Find the integral / r(t)dt. b) Find parametric equations for the tangent line to the given curve…

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Q: Find lim X-0 √x² + 100-10 x²

A: We will find the value of the limit in the following step.

Q: ات, 01 +19+₂1 x+₂²0 +19+₂. 1. Evaluate

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Q: An equation of the plane passing through A (1,-1, -1), B (1,0,2), and C (-1,-1,-5) is: 2x+3y-z = 0…

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Q: 8. Use the graph of the function f to find the following: 13 (-5,0) 4 -3 -2 -1 (-3,-2) 3 2 H (-1,-2)…

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Q: 8x³ - y³ 3 lim (z,y) (1,2) 2x - y Select one: O equals 12. O equals 0. O None of them O equals 4. O…

A: Lim(x, y) -(1,2)(8x3-y3)/(2x-y).

Q: If f(x, y) = x cos y, then fry(0, 1) = ? Select one: O 1 -1 O None of them sin y

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Q: Evaluate fcot (x) cos²x dx

A: The given integral: ∫cotxcos2x dx.We need to evaluate the above integral.

Q: Evaluate foxe*² dx . 2 0 a. b. OC. O d. 9 =/12 + C 2 2 (e⁹-e) + C (e⁹-1) + C (eº-x²) + C

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Q: and x = = z = e-22 In (2-y), Select one: O True O False - 6t, y = t-s, then the value of 3 is equal…

A: In this question we have to find whether the given statement is True of False.z=e-2x…

Q: Use partial fractions to find the indefinite integral. (Use C for the constant of integration.…

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Q: 6. If z = x + iy = (x, y), then the equation z²+z+ 1 = 0 is written as (x,y)(x, y) + (x, y) + (1,0)…

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Q: Find for y = dx dx X [11tªdt. 0

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Q: is

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Q: Evaluate (x² - 1)³² dr.

A: Our Aim is to evaluate the integral given below:-∫x2-12 dx -(i)

Q: (√2-i)-i(1-√√2i)

A: Follow the procedure given below.

Q: Question a) b) 2xy Consider the function f(x, y) = 4x²+5y² Find the domain of f. Show that the limit…

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Q: The following limit Select one: O O equals 16 3 equals 0. None of them O does not exist. O equals 3…

A: This question is based on two variable limits.

Q: if g(x, y) = yln(x) - x²ln(2y + 1) then 9x (2,0) = 0 Select one: O True O False

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Q: f(x, y) a b) = 4x²+2y² Find the domain of f. Show that the limit does not exist lim f(x,y) (x,y) →…

A: Here, the given function is: f(x,y)=3xy4x2+2y2

Q: If and x = 1², y = 1² then Select one: 2t √xy(21) 41 None of them √xy (21²) dz dt =? z = √√√xy,

A: Please see the below picture for detailed solution.

Q: f(x, y) = 6√x - y'e a) b) -3xy + Find f and fy. Evaluate fazy (4,-1).

A: Given f(x,y) =6x -y2 e-3xy+3y

Q: An equation of the form t²y" + aty' + ßy = 0, t > 0, where a and are real constants, is called an…

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Q: Which of the following is the gradient vector of the function f(x, y, z) = cos ry sin yz? Select…

A: Here, the given function is: f(x,y,z)=cos(xy) sin(yz) Note that the gradient vector is given by:…

Q: Evaluate L 8y (x³ + 1)² 2y by reversing the order of integration. dady

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Q: If -9x+7y √6-x²-y² f(x, y)= then the domain of f is equal to D = {(x, y)| x² + y² < 6} Select one: O…

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Q: 3( Determine whether or not the improper integral is convergent, and find its exact value if it is…

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Q: 22. Use the Rational Zero Theorem to help you solve the polynomial equation 2x17x³ +46x²-43x + 12 =…

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Q: uring Runge-Kutta Method of fourth order, salve dy + y + xy² = 0, $ (0) = 1 by taking h= 0.1 لا

A: Runge Kutta Method of fourth order :-dydx= f(x,y)   , yo = xoyn+1=yn+16(k1+2k2+2k3+k4)where k1= h…

Q: Find the gradient of the function at the given point w = x tan(y + z), (7, 15, -5) Vw(7, 15, -5) =

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