What is the unit vector oppositely directed to 4?−5?−5??

Q: t2 5. x= t-1 y = 12-1

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Q: (a) A function f (x) is given as 1 x0 2x Evaluate lim f(x) numerically by constructing a table. (b)…

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Q: Dver what interval is the graph of the rational function positive but decreasing? 4. 2 -4 -2 -4 a)…

A: Topic:- calculus

Q: Find the area of the shaded region. r = 3+2 cos 0 r = sin 20

A: Area of polar region =                                    integration of r^2/2 d(theta)

Q: 1 dx so that the integral evaluates to - 3x2 integral / Ae2*- 2x³ – 3x² Replace the letter A in the…

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Q: 3x-4 1. Y= Arctan 4

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Q: 6. (6x – 3y + 2) dx - ( 2x - y– 1) dy = 0 ans. 3x - y + C = 5 In | 2x - y + 4|

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Q: 3x-4 1. Y= Arctan 4

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Q: a) y=(x+2)/x^2 - 1) b) y= ((x^2 - 1)(x+2))/ x-3 find the x and y intercept, symmetry,…

A: Given :a) y=(x+2)(x2-1) b) y=(x2-1)(x+2)(x-3)To find : The x and y intercept, symmetry,…

Q: |* (1-x)° dx The solution of the betta function is:- -1 45045

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Q: Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given…

A: Given

Q: dx Assume that x=x(t) and y = y(t). Let y = x +1 and 4 when x 5. dt dy Find when x = 5. dt dy…

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Q: What is the reference angle of O if 0= -137°? A 43° B 47° C 137° D 223°

A: Given query is to find references angle.

Q: 4. f(x) = sin xand g(x) = 2x 5. f(x) = x² + cosx and g(x) = 3x + 4 Guide Questions: 1. How did you…

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Q: 8. Below is the graph of Se)%3Dx+x-5x+3: a) Find the zeros. b) For each zero use synthetic division…

A: Topic:- calculus

Q: function fo) = 7X1+10x10x3_4 Qn Antiderivative of fo) is F(x) = Axn+ Bxm, CxP+Dx: A= 710 %3D where…

A: Solve the following

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: 10 Find the projection of u =-14 onto the -15 -4 -4 subspace W of R' spanned by -6 | and 6. 910 53…

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 24) V = a = b =

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Q: In(&x³) f(x) = 1-9e-* -2x 1-9e 2

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Q: complete and detailed solution using techniques of variation

A: Given,            ∫dy1+y+13

Q: Suppose the position of a particie is given by parametrc equations x(e) = -3 and y(t) = 2?. (a) Find…

A: The given data is: xt=t3-3yt=2t2  (a) To find the particle's position (x,y) at t=3

Q: 1 1. Let f (x) = x - 5, g (x) = V5 - x and h (x) = 2x 1 a) Determine the domain of f, g and h. b)…

A: We have to find the function

Q: dx J 2x+Vx 1.

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Q: find the derivative of y = x3/x

A: Given y=x3x

Q: Find all solutions to the equation. 2 sin 0+/2 =0 Write your answer in radians in terms of t. TC…

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Q: How does (2cos(theta))2 + (-2sin(theta))2 equal 4?

A: 2cosθ2+-2sinθ2=4cos2θ+4sin2θNext step:-

Q: 4 1 |x²ydxdy 4. 2 0

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Q: Find the open intervals on which the function is increasing or decreasing. Apply the First…

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Q: Integrate the following using ~2 x+1 2. dx

A: ∫12x+1xx-1dx

Q: Write out the MacLaurin polynomial of degree 12 of the function h(x) = cos(x2). (b) Use you answer…

A: Given

Q: -8 17 ane = -15/8

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Q: of

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Q: (x2 + 8y²)dx – 6xydy = 0

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Q: Find the absolute maximum and absolute minimum of f (x) = 2x^3 −6x + 1 on [0, 3].

A: Find first derivative and equate to zero. And find interval at which function is increasing or…

Q: Integration by trgonometric substitution 1. S_dx (4x-x2) ³12

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Q: Q.5. A. U. Simpson's 1/3 rule to find the following integration: 7 300 O,dx) by dividing it to four…

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Q: 22+88

A: The given data is: 22+88 To find the value of the sum.

Q: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

Q: y' + 3xeY = 0

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Q: Given the following vectors, add the vectors and find the magnitude and angle of the resultant…

A: 4. Given, v=(5,9) u=(-5,-9) According to given, Resultant(R)=((5-5)²+(9-9)²)1/2 R=0 Angle is given…

Q: B and C

A: Topic:- application of derivatives

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(8), sin(0), 7) v = (sin(0),…

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Q: Find the absolute maximum and absolute minimum of the function on the interval. f (x) = 5(x² -4)/z³,…

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Q: Consider the function f(t) = 3 sec?(t) – 4t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: dy #1. Use implicit differentiation to find for each of the following relations: dx x' +y' = 6 2.xy…

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Q: if xo = 2, x1= 3 and x2 = 4 the second degree %3D %3D polynomial for f(x) = ! using Lagrange %3D…

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Q: 7. Two functions are defined as f (x) and g (x) = where x * 1. a) Find f (x) g (x). Simplify your…

A: We can solve the given question as follows:

Q: Find the equation of the tangent to the function f(x) = -4 sin’x at the point where x = (use EXACT…

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Q: (2) Use logarithmic differentiation to find . Do NOT use the quotient rule here. e4x y = (x3 + 4)3…

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