dy Suppose 12e3t and y(0) = 5. || dt What is y(2)? O 1505.7 O 1614.7 O 1635.7 O 1714.7

Q: 6. Let u = (1, 0, 2) and v = (2, -2, 1). 6.1. Determine 2 u-3 v in component form. 6.2. Find a unit…

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Q: اسدمل Find the akeaf fak the faltowing regions Area enclosed by the diagram V= Sin 3

A: Area

Q: 3. Determine the differential coefficient of y =-+2x – 3 when x = 7 4. If f(t) = 3 sin(4t + 0.12) –…

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Q: Find the area, A, of the region enclosed by the cardioid r = 8+8 cos 0. (А) 96 я (В) 48 я с) 52 я…

A: The area enclosed by the cardioid r=8+8cos θ is given by: A=12∫02πr2dθ=12∫02π(8+8cos θ)2dθ…

Q: If logx y = 100 and log2 x = 10, then the value of y is: O a. 2 to the power thousand O b. 2 to the…

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Q: Write the radius of the circle x 2 + y 2 = 5 25 √5 5

A: General equation of circle is given by  (x-h)2+(y-k)2=r2  Where (h,k) is the circle and r is the…

Q: QUESTION Determine the length of the missing side of the right triangle below. Round your answer to…

A: The given triangle is:

Q: 6 Write the equation in general conic form of the circle with center (2, 3) and r = 7 x 2 + y 2 -…

A: To write the equation of circle with the given center and radius.

Q: Find the radius and interval of convergence, R, of the series. En-1 2n

A: For radius of convergence we have to findlimn→∞an+1an<1  in the form of x<RAnd radius of…

Q: Find the radius of convergence for: 5"z" Σ n!

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Q: 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1,y)

A: Let fx,y=x-yx+y+1. Finda f2,1b f1,2c fa,ad fy+1,y

Q: | (2x – y) dx + (x + 3y) dy. Evaluate C: arc on y = x3/2 from (0, 0) to (4, 8)

A: To evaluate the given integral.

Q: D. Write four related conditional statements (if-then form, converse, inversé, and con each of the…

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Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. (a) Find a…

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Q: Show tkat cos (2 I +x

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Q: I. Evaluate V4x² + 4x + 5dx|

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Q: dx II. Evaluate the improper integral J x(Inln x)

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Q: !Solve the boundary-value problem y" +9y = 0, y(0) = -3 and y(/3) = 2.

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Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i+11 sin(t)j + tk; t= T N || ミ|N ミ|N

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Q: The functions yi = e linearly independent solutions of the homogeneous differential equation x and…

A: Two solutions of a differential equation is said to be linearly independent iff their wronskian is…

Q: Determine the interval(s) on which the graph of the function f(x) = a – 32? %3D is concave upward.…

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Q: Evaluate the upper and lower sums for f(x) = 2 + sin(x), OsxSA, with n = 2, 4, and 8. Illustrate…

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Q: 1. [(20x + 30)(x² + 3x – 5)° dx 2. S 5(x – 4)(Vx² – 8x) dx - 3. S 3x-4(2+ 4x-3)-7 dx

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Q: 3. Let f(r, y) =rsin ry. Find: %3D (a) fz(I, y) (b) fy(r, y) (c) fyy(1, 9) (d) fyz(r, y)

A: Given f(x,y)=xsin(xy) Now fx= d/dx (f(x,y)) fy= d/dy (f(x,y)) fxx= d/dx(fx(x,y)) fyy= d/dy (fy(x,y))…

Q: Evaluate S(5 – 3x) dx using geometry. | 1 3.

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Q: QUESTION 4 At noon, Ship-A is 210 miles east of Ship-B. Ship-B is sailing due east at rate of 30…

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Q: e the given graph of the function ƒ to determine the type of discontinuity at each æ-value.…

A: Given problem:-

Q: y

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Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 3 - %3D

A: Solving

Q: lamda A= ay %D MD 10

A: Given λ=ay/MD

Q: Solve the following problems, Write your solutions and answers in a sheet of paper. 1. A crcular…

A: Area of circle A=πr2a)r=32 cmPool area =π r2                 =π(322)                 =1024π  cm2The…

Q: Find the arc length L of the graph of r(t). r(t) = 10 cos(t)i+ 10 sin(t)j+ tk, 0<t< 2n

A: To find the arc length of the given graph.

Q: Question 9 of 10 q(x) = eª lnx %3D Select the correct response. O e In x - + eª ln x et +1

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Q: 20. Write the equation of the line that has the indicated slope and y-intercept. Express final…

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Q: 1. Find the maximum value of r+y subject to the constraint r + y? = 18.

A: The maximum value of x+y subject to the constraint x2+y2=18

Q: solve D.E (Z+3j) du – 2xydy = 0

A: Given problem:- (x2+3y2)dx -2xydy=0

Q: Consider the following functions. f(x) = 6x – 5, g(x) = !! 3. Find (Fo g)(x). Find the domain of (Fo…

A: f(x)=6x-5  , g(x)=x3Consider(f∘g)(x)=f(g(x))             =f(x3)             =6x3-5…

Q: 3. Compute the f(x, y) = 4x³ + 6xy² R=[1,3]x[-2,1]. iteration for the function on the rectangles

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Q: Find y' given xe*y – x sin- y = In(xy).

A: Given,            xexy-xsin-1y=lnxyTo find : y'

Q: 17. Graph the line that passes through the given point and has the given slope: 5 (-3, -2) т%3D

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Q: Find an equation for a parabola with focus (7,-2) and directrixx = = 4.

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Q: Match the graph of the above function with the graph of its derivative.

A: Given data÷

Q: Find g'(3) given that f(3) = -5 and f'(3) = 4. g(x) = 3x² – 5f(x) g'(3) = i

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: . Let f(x) = x'6/3 – 19x337. Determine the largest n for which f € C" (n-times continuously…

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Q: What is the derivative of the function f(x)= In(3x²) ? a. f'(x)= b. None of these. 1. f'(x)= бх rw-…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Given,            fx,y,z=xy+yz+xz , P8,9,-8 , v=16i+j-kTo find : Find the directional derivative of…

Q: Determine whether the statement is true or false. If g(x) = f(x)sin x, then g'(0) = f(0). O True O…

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Q: 4 - x -dx. 16 – x2 III. Evaluate

A: Solving

Q: Find the graph of the equation 4x 2 + y 2 = 4.

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Q: p(x) = sin x cOS X Select the correct response: o tan x O cos x - sin? a sin? r – cos² x .2 -

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