Find T(t) and N(t) at the given point. r(t) = 7 cos(t)i +7 sin(t)j; t = 3 T(-) .3 .3. ||

Q: 2 y 本 -4

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Q: TT sec (2x) tan(2x) dx T/3 8T

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A: We need to find the volume of the given shape.

Q: (1) Use the following graph of f(x) for the problems on this page and the next page. 15 10 10 15 20…

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Q: 1. Let f be a function satisfying the following properties: continuous on R\{1} • f(0) = 0 and f(3)…

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Q: 4. Substitution Suggested by the Equation: (x+2y-1)dx+(x+2y)dy = 0

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Q: xdx S- can be solved by either algebraic subsitution or integrataion by parts. x-1 А) True B) False

A: We know that algebraic substitution is method in this replace the veriable of integration by a…

Q: From Rogawski ET 2e section 10.2, exercise 12. Write S = E 1 as a telescoping series and find its…

A: The summation of 1/[n(n+1)] , n from 7 to infinity.

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: The given function is;  f(x,y,z)=xyz x2+y2+z2=243.

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Q: Two people are 50 feet apart. One of them starts walking north at a rate so that the angle shown in…

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Q: A line is tangent to y = x - 2 at (2,6). What is the coefficient of x when the line is in the form…

A: Given curve y=x3-2    ;   (2,6)

Q: Find the if yvx- 8 = xy + 2 Vx - 8 = xy + 2 – 8 dx

A: We can find the derivative as below.

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Q: əz Use chain rule to find at where z = e2" sin (30) and r = st – t², 0 = Vs² + t². %3D

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Q: Solve for a andb that makes the function continuous at every number in its domain f(x) = 2x+1 x5

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: We will find the unit vector satisfying the given conditions in the following step.

Q: Let f(x) = In(x") in the interval [1,9]. Determine the value(s) of 'c' that satisfy the Mean Value…

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Q: { 3x-5, Зх-8, if x 2 limit of f(x) exists.

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Q: Find Duf at P. 2 + 2. 5,3 4 f(x, y, z) = 6x³y°z*; P(1, – 2, 1); u = Duf i

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Q: A floodlight is positioned on the ground shining on a white wall 10 m away. A woman 1.6 m tall…

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Q: Differentiate the following without expanding 3x2-4 You may use the Insert -> Equation function to…

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Q: Consider the function f(x) whose second derivative is f''(x) = 7x + 7 sin(x). If f(0) = 2 and f'(0)…

A: We need to find f(5).

Q: For the functions f(x) = xeX %3D 1. The minimum value of the function occurs when x = 2. A point of…

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Q: Find parametric equations of the line through (-3,0,9) that is parallel to 2i-6j+k. x(t)= 11 y(t) =…

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Q: Evaluate the following limit: x1-14-V2 lim,-2 r-16

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Q: 3) Which type of quadric surface listed in Table 2 below is 4x² + y² + 4z² – 4y – 24z + 36 = 0?

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Q: [1.5y – 4Vy 2. y? 3cos y + csc y + In 3· 3|dy csc²,

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Q: t is known that the total cost function incurred by a company is expressed by C = Q3 - 118Q2 + 2630Q…

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Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

Q: (26ー1) 不t8

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Q: rative: y = (V3x – 5)(3x2 - 7). %3D

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Q: A frameless painting with a size of 2 meters by 2 meters hangs on the side of a wall where its…

A: Solution of the problem as follows

Q: 5y+10=4y-10

A: 5y+10 = 4y-10 Now add 10 to both sides then we have, 5y+10+10 = 4y-10+10 5y+20 = 4y Now subtract 20…

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Given:  To find: Area of the triangle.

Q: S Le+6)dx (x+2)*

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Q: 3. The standard form of the first order linear differential equation xdy+ +(2.xy– 3y-4.x* )dx = 0 is

A: Simplify to get the standard form of first order linear differential equation.

Q: x² – 25 The antiderivative of - dx is / x2 – 25 – sec-lx+ C.

A: Given,            The antiderivative of ∫x2-25xdx is x2-25-sec-1x+C.To find : To check the…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: This is case where critical points are not defined.

Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Evaluate the definite integral by choosing the appropriate substitution. You must show your work. 8…

A: Basic definite integration problem

Q: The graph of y = 2x1/3 + x4/3 changes its concavity at: 1) nowhere 2) both (0,0) and (1,3) 3) (0,0)…

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