As 2.

Q: For f(x,y)=6x7 y6+2eX : (a) Determine fxx(x,y). 5 6 Answer: 252x°y° + 2y e (b) Determine fxy(x,y) .…

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Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

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Q: Find the critical points of the following function. 14x f(x) x2 + 49 Select the correct choice below…

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Q: C) = ("; ')-,",) + Q1. Show that :

A: We have to prove the given expression.

Q: Find 2u, -3v, u + v, and 3u 4v for the given vectors u and v. (Simplify your answers completely.) u…

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Q: 2. Find the value of o(2) for a solution o(x) to the initial value problem: y" + 4y' + 4y = 2x + 6;…

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Q: Find the slope of the line 3x-4y-10=0 О а. 4/3 O b. 3/4 О с. 3 O d. 4

A: Solve the following

Q: Find the exact length of the curve. x = 2/3t3,  y = t2 − 2,  0 ≤ t ≤ 2

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Q: 5. S(x): x +4 4 4 b. x2 + 16 a. (x + 4)2

A: We will find out the derivative.

Q: Use the compound interest formula to find the account balance A, where P is principal, r is interest…

A: Principal =$140000 Rate=4.5% Compounded =annually  Time=20.

Q: Write the quotient in standard form. 11 1-i

A: Topic = Complex number

Q: For the function f(x) = x ln(1+ x°), %3D a) What is the Maclaurin series for f and its interval of…

A: Given function is fx=xln1+x3Maclaurin Series of function fx…

Q: M. Vx? N. xe* O. 4 Р. cot x Q. cot?x R. 2 cot x

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Q: Choose the point which shows the correct location for the polar coordinate (1, 320°). 90° wIN 135°…

A: We have to find correct point name for co-ordinate for point (1,320°)

Q: dx J (x² + 2x – 10)²

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Q: Tind the vudivs and interval of convergense of the powe Series, (-2)" (x+2)" San

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Q: Graph f(x) = e +2. Choose the correct graph. OA. Ay 4- OB. Ay OD. Ay Oc. Ay o 包

A: We need to choose correct graph.

Q: Select the answer option that corresponds with polar coordinates (1, -). 90° W/2 150° 45 1 7 radians…

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Q: dy and d'y of the parametric equations Determine da da 1. a (t) = t - 4t and y (t) = 2t – 6t %3D

A: 1)x(t)=t2-4tDifferentiate w.r.t 't'dxdt=2t-4 --->1dtdx=12t-4…

Q: Select the answer option that corresponds with polar coordinates (3, –150\degree). 90° 2 W/12 134…

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Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: differential eqation, find general solution for dy/dt = −3y + 4 cos 2t   thank you.

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Q: Consider the graph of the function g(x): 4 y = g(x) 4 7 x The graph from x = 2 to x = 6 is a…

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Q: Find the area of the region in the xy-plane bounded above by the graph of the function…

A: Given  fx=711x-2111, x=3 & x=14 To find Area:

Q: Match the conclusion of the D-test D(x,y) 0, f_xx (x,y) 0, f_xx (x.y) 0, f_xx (x,y) > 0 (x,y) is…

A: Given problem:-

Q: 2. lim f(x) = x2– 4x +4 X Use the domain [-9,6] to draw the graph. х -2

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Q: What’s the concepts of calculating the area of a region with subintervals of equal widths and…

A: The concept behind calculating the area of a region with subinterval of: a) Equal width- It is…

Q: | 4x sech x2 tanh x2 dx A) - 2 sech x² + C (в) 2 B sech x2 + C sech x2 +C C 2x D) 4 csch x2 + C

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Q: 3 (e) lim (1 x2

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Q: x+ y dydx = Inß ху %3D Find B.

A: The objective is to find the value of beta.

Q: Choose the point which shows the correct location for the polar coordinate (2, 120°). 90° WIN 135°…

A: Given

Q: Follow the format of solution of the picture below and show checking.  348610 B2 B8 B16

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Q: Find the cost function for the given marginal cost and fixed cost. marginal cost= 1/80x+40 fixed…

A: Given:        Marginal cost dCdx=180x+40         Fixed cost x=0=$8000…

Q: Find the exact area of the surface obtained by rotating the curve x = 21² +=, y = &Vr,1s153, about…

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Q: Solve sin(2 – 62) = - Solve the equation for æ without evaluating the inverse function. (Your answer…

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Q: Find all the antiderivatives for the following function. Check your work by taking the derivative.…

A: Consider the function  f(y)=-24y25

Q: If f(x, y) 3x+7y af then is given by: (3x–7y) 21y (За — 7у)? 21y (3x–7y)² - 42y (За — 7у)2 42y…

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Q: b. g = f(t, v) = tv, t = In m v = m %3|

A: Given g=tv, t=ln(m) and v=m6

Q: .2 x In x dx ; with (h = 0.1)

A: follow the procedure given below.

Q: Find the exact area of the surface obtained by rotating the curve x = 2t² +÷,y = 8/t,1<t<3, about…

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Q: Find the total differential and total derivative. For the total derivative it is with respect m (or…

A: The objective of the question is determine the total differential and total derivative of the given…

Q: Of all rectangles with a perimeter of 33, which one has the maximum area? (Give the dimensions.) The…

A: perimeter of rectangle = 2(l+b) = 33 l+b = 33/2 l = 33/2 - b area of rectangle = l*b (33/2 -b)(b)…

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and æ = 100 is…

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Q: Select the answer option that corresponds with polar coordinates (2, ). 90° 2 135° 45 150° 30 15° 12…

A: We can find the answer as below by naming the coordinate.

Q: 39) (a) Let Ax) = cos(3x – 2). Find f" (x). (153) (b) Let g(x) = 2***. Find g (x).

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Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: d the area. de one leaf of the three-leaved rose r= cos30 red by the circle r=2 and the cardioid…

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Q: 15 -8 -3

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Q: %3D (2xy + y)dx + (x² + 2xy – y)dy = 0

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Q: 3. Compute ahi-fin Lireh-fi for the following functions: and lim h40 a. f (x) = sin x

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