1. Simplify the following: i) 271/2 ii) 9 3/2 iii) 3" x 9"

Q: The rule of the derivative of a function f is given. Find the location of all local extrema. F(x) =…

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Q: Find the derivative of the vector function r(t) = In(4 – 2) i+ v6+ij+7e¬6i k -

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Q: The point is on the terminal side of an angle in standard position. Find the exact values of the six…

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Q: Use the limit definition of the derivative to compute the equation of the tangent line of f (x) =…

A: We have to compute the equation of the tangent line of f (x).

Q: Given two functions h(t) and g(t), is h¯1g-1 (t) = (hg)-1(t).

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Q: D03 Mathematics for Social Sciences I | S2 21/22 courses / ECON1003 | S2 21/22/ General / Graded…

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Q: 1 4 9 16 25 0, 2'3'4' - 5' 6 an Enter your answer here Or write it out and upload: Please select…

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Q: LL6- 25 – 3°) dy de (6 –

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Q: Find the area of the region enclosed by the inner loop of the limaçon r = 11+ 22 cos 0. [Hint: r < 0…

A: To find the area of the region enclosed by the inner loop limacon. Given r=11+22cos (theta)

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

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Q: y = xe?u y = y' = e3z+2y

A: 1)y'=xe2y 2)y'=x2/y 3)y'=e3x+2y Repost the next parts.

Q: finite difference du n. = 0 en 0 0; dx² - u(0, t) = u(2, t) = 0, 0 < t; %3D u(r, 0) = sin x, 0<x <…

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Q: Vx2-7x+16-V6 2. lim X→5 (х-5)/x+1

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Exercise: Show that the following differential equations are homogenous and solve. 2.…

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Q: Enercisec: O Finol the affacasuimate Value oftthe fumetas ont =25 frems4he folfow fuy table by nsieg…

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A: Given, 107+6r +7500= 121000 Simplifying the above equation we have, 107+6r = 113500

Q: Explain one random and one systematic source of error in this experiment. How to reduce these…

A: To explain random and systematic source of error in experiment.

Q: Suppose the temperature in degrees Celsius over a 10-hour period is given by T(t) = - t + 6t + 36.…

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Q: (a) f ry dy dx а. 13/7 O b. 27/2 Ос. 12/5 O d. 18/7

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Q: Find the change in cost C for the given marginal. Assume that the number of units x increases by 3…

A: We have to find the change in cost C.

Q: 8. y=x".7* 9. у%3 Inlog, x

A: Let's find.

Q: Find the tangent lines as directed. To the ellipse x²+4y²=8 parallel to the line x+2y=6.

A: Given query is to find the equation of the tangent.

Q: for what value of x does the function  f(x) = 1/3 x3 - 4x attain the absolute minimum in the…

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Q: Find a solution to the SDE dX = X,(ydX;+ tdt), where y E R is a constant and Xo = 1. %3D

A: This is a problem of differential equation. Based on the variable separation method we will solve…

Q: (c) Is it true that f(19.45) = g(−7.55)? Explain. Yes. Both 19.45 and −7.55 are a whole number of…

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Q: Solve: y" + 4y" + 29y' = 0 O y = C1 + C2e5ª cos2x + C3e5" sin2x -2а O y = C1 + C2e¬2ª cos5x + C3e¬2®…

A: Find your answer below

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A: Given query is to find series converges or diverges.

Q: 1. If we are trying to evaluate thef esinx cos x dx, which substitution would be most helpful? А. и…

A: Select the correct option?

Q: 3 (9 — х?)2

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Q: 3 f(x) =x° – cos(x) Solve this question by the Fixed-point method on the topic of solution of…

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Q: y A y = f(1) 4. The graph of f(x) is shown in the figure. Let A(x) = Lf(t) dt and F(x) = S* f(t) dt…

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Q: Consider the equation below. = 9 cos2(x) – 18 sin(x), 0 < x < 2n (a) Find the interval on which f is…

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Q: Maximize f(x, y) = /43 - x2 - y2 %3D Constraint: x + y - 6 = 0 f(

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Q: Use the given information to find f '(8). f(x) = g(x)h(x) g(8) = 5 and g'(8) = 1 h(8) = -7 and h'(8)…

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Q: What is the differential equation of the solution y = C1e®" + C2xe®u + C3e¬7w ? O y" – 11y" + 45y +…

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Q: Find the tangent lines as directed. To the ellipse x²+2y²=9 perpendicular to the line 4x-y=6

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 2…

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Q: -X f(x) = x + e Solve this question by the Bisection method on

A: The given function is: f(x)=x+e-x

Q: on the other side). Show your step-by-step so 4. 2x³ + 3xy² + y = y² – 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by…

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Q: 2х — 5 -dx х — 1)3 x(x

A: To evaluate the given improper integral.

Q: Determine all critical points for the function. f(x) = (x - 4)³

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Q: "roblem #5: Use the divergence theorem to find the outward flux F.n dS of the vector field F =…

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Q: ーX f(x) =x+ e

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Q: Use hyperbolic functions to parametrize the intersection of the surfaces x2 - y = 9 and z = 5xy.…

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Q: 2. A particle is moving with acceleration a(t) = x - 3 sin(x). Find the velocity and position…

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Q: Evaluate the double integral over the given region R. yx cos x dA R: -1sys1,0sXST R yx cos x dA =…

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Q: V9 – 4x2 dx

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Q: x – 1 dx x²(x + 1) “* x² – x dx x² + x + 1

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Q: Consider the equation below. f(x) = x7 In x (a) Find the interval on which f is increasing. (Enter…

A: We have to calculate first and second derivative to solve the problem