Choose the angle (in radian) between the following two vectors u = <8, 5, - 4> and U = <2, 8, 7> O 2.059 00 O None of the others O 1.047 O 3.142 # J

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z+ 6 = 0 is 3.7 True O False

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Q: Express (3*) dx as the limit of a sum. 1

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Q: \(\) The vectors u= 8> and v= are not orthogonal if and only if -136 Select one: O True O False

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Q: Evaluate the following integral using inversion of order: So ²5 dyda Remember to show complete…

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Q: Find the arc length function for the curve y= 2 x 3/2 with starting point P (1, 2). Select the…

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Q: Use the Midpoint Rule with = 4 to approximate 0 tan x dx.

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Q: Here are some patterns made from sticks. 8 8 Pattern 1 Pattern 2 a) Complete this table. Pattern…

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Q: Using Homogenous Equations solve in terms of y: (x² + y²) y' xy

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Q: The marginal cost for a company to produce q items is given by MC(q)=0.004q^2−0.9q+625. The​…

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Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

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Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: a) | Find the parametric and symmetric equations of the line L which is the intersection of the…

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Q: Evaluate the integral. 7/4 O [(10sect)i-(3+ sin t)j - (2sec t tan t)k)]dt (2√√2-37-4 2 10i + O 10i +…

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Q: .1 The evaluation of 2xe³ dxdy is 3e-1 O e-3 -1 e- None of them O -3e O

A: To find out the double integration.

Q: 2π 1. The region R is bounded by the x-axis, x = 0, x = 3 A. Find the area of R. sin(). 2 and y =…

A: Given: Region R is bounded by x-axis, x=0,x=2π3 andy=3sinx2

Q: If w = f(r,s,t), r = x-y, s = y - z, t = z - x then dw Əw + ?х -1 Əw дz 0 о II 1 -2 ( 2 O

A: Given the function w is function of variables r,s and t . further r, s and t are the functions of x,…

Q: 3. I Graph of f Graph of g The graphs of the functions f and g are shown in the figures above. Which…

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Q: Given the geometric sequence: 24, Find an explicit formula for an, where the first term is a₁ = 24.…

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Q: Evaluate the following integral using change of coordinates: SR S x³ + xy² dedy where R is the…

A: Solution given below

Q: 5. Obtain a polynomial P(x) such that f(x) = P₁(x) given the table -1 -3 x₁ f(x₂) -2 -13 1 -1 2 -9 3…

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Q: Evaluate the following integral using inversion of order: of a dyda

A: Solution given below

Q: S In (x) √xln(x)-x dx

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Q: 2. Imagine you were given three different tables of values; a linear, quadratic and exponential one.…

A: Imagine you were given three different tables of values; a linear, quadratic and exponential one. To…

Q: What is the area bounded by the curves y² = 4x and x² = 4y? A. 5.33 C. 8.22 B. 4.33 D. 9.11

A: There are more than 1 questions, as per the Q&amp;A guidelines i am answering the 1st question. If…

Q: Find an algebraic expression equal to sin (cos-¹ (5x-3)). (You may assume that − <cos-¹ (5x − 3) <…

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Q: Find the total area of the shaded regions. (-3,36) -6 ₂ Ау 40 32- 24- 16- 8- -8- y=4x (3,36) y=x 5x…

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Q: Repeat Exercise 60, except with these derivative boundary conditions: y'(0) = 0, y'(π) = 1. In part…

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

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Q: (D) sec(a) die (E) sec(z) tan(z) da

A: You want only the sub part d and e to be solved.

Q: Complete the parametric equations of the line through the point (-3,1,-4) and perpendicular to the…

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Q: 21 The function f(x) is represented in the following table. Give the best estimate for f f(x)dx 3…

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Q: Evaluate the following integral using inversion of order: of 2³ dydx Remember to show complete…

A: Given integral ∫01∫x3x2 x5  dy dx

Q: г 3x +4 x3их н dx

A: We can find and explain the answer with proper reason as below.

Q: Graph one period of the function f(x) = -sin(3x)

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

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Q: sinx13 cOSX on the interval [0, π] Average value=

A: According to the company rule we can answer the first question and rest can be reposted.

Q: The area enclosed by one petal of the polar curve r = cos20 is False True O

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Q: Graph the function. = (x) = -4 X for-4<x<-1 for -1 < x < 4 -x² +16 for x ≥ 4 16 11 V 15- 14. 13- 12…

A: Consider the function  Consider the function    z(x)=-4                     for  -4&lt;x&lt;-1x…

Q: Express in p/q form 0.005

A: Express in p/q form 0.005

Q: 14. Find the volume of the tank shown below. 1.10 m | 1.48 m 4.25 m

A: Concept: Area of the segment: A Sector is made up of an Arc and Two Circle Radii. Together, these…

Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: True O False ܡܢ 6 edx

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Q: Let a be a real number. Evaluate the following integral: y+1 So fix + y dxdy y-1

A: ∫0a∫y-1y+1 x+ydxdy this is given  we have to find double integration  here first we have to…

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: The area enclosed by one petal of the polar curve r = cos20 is False 718 True O

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Basic partial derivation is used.

Q: Find dy for y=5x^3+ 7*square root(7x)

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Q: ind the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

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Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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Q: A book is to contain 36 in² of printed matter per page, with margins of 1 in along the sides and 1…

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Q: Solve using matrices.   5x−y−6z=2 9x+y− z=5 9x+y−5z= 7

A: Here we will solve given system of equations,