f(x, y) = 6√x - y'e a) b) -3xy + Find f and fy. Evaluate fazy (4,-1).

Q: Integrate Ja giả Select one: OA. 2-x dz Ina-Inx+5| + C OB.Inx-lnx +51 +C OC. In x-lnx + 5+ C OD.…

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Q: f(x, y) = x²y + 4y and x = st, y = 2t - 3s. af and off. af Use Chain Rule to find ds Write your…

A: Follow the procedure given below.

Q: Consider the initial value problem (a) Solve the initial value problem. (enter yo for yo). y(t)= y'…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have…

Q: Evaluate: 0 tan¯¹ (0) do

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Q: Integrate ze da Select one: O A. ex (2x-1) + C OB. e (x-2) + C O C. e* (x-1) + C O D. ex (x-3) + C

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Q: Integrate: S (2x2-10x+15) gở ba tô 2x + 3 ln() + C ○ 3 ln()+ +C O 2x+3 ln()+ ○ 3 ln() + C +C dx

A: ∫(2x2-10x+15)x2-5x+6dx=∫(2x2-10x+12+3)x2-5x+6dx ∫2(x2-5x+6)(x2-5x+6)dx+∫3(x2-5x+6)dx…

Q: (2x²-10a+15) da Integrate: f gở ba tô 2x+3 ln()+ +C n(²²³)+c +C 3 In O2a +3 ln()+ ○ 3 ln() + C o +C

A: We have to integrate ∫2x2-10x+15x2-5x+6 dx.

Q: Given that the graph of f(x) passes through the point (5,10)( and that the slope of its tangent line…

A: Given , The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at…

Q: If you can only answer one, please answer 99. The questions asks whether the series converges or…

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Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C O None of the choices O cos² (2x)…

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Q: Part b: We consider the function f(x, y) = x sin y - y cos x + y Find fx(x, y), fxy(x, y), and fxyx…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = X, (1, 2, 2) Xx…

A: fx,y=yx, 1,2,2

Q: Find a normal vector to the level curve f(x, y) = c at P. X = x² + y² P(5, 5) f(x, y) = C = 100

A: To find the normal vector.

Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

A: This question can be solved using the concept of divergence test.

Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C O None of the choices O cos¹ (2x)…

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Q: Work Problem 1( Let z=(y-x)³, and as(1 t) and y = st². Use the chain rule to compute da and da da

A: Given problem:- Here  z=(y-x)3  And x=s(1-t), y=st2  find using chain rule zs and zt

Q: Region A is bounded by the parabola x = y², the line y = 1, and the y-axis. Region B is bounded by…

A: As per the instruction, we will be answering the first question. Given: We need to find the volume…

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Q: Sketch the graph of y=x+4 and give the exact coordinates for both the x-intercept and the…

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Q: If In (x² - y) √-x+y+1 then the domain D of the function f is given by the set f(x, y) = Select one:…

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Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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Q: Question a) b) Let f(x, y) = 2√x - y²e-2xy Find fx and fy. Evaluate fxxy(4,-1). + NIA

A: Given :fx,y=2x-y2e-2xy+2y

Q: A polynomial f(x) and one or more of its zeros are given. f(x)=x²-8x³ +95x² +16x-194 4-9i is a zero…

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Q: Question a) b) 2xy Consider the function f(x, y) = 4x²+5²- Find the domain of f. Show that the limit…

A: To find out the domain

Q: Integrate I -dz Select one: O A In 1-¹-2²+√1 − x² + C I OB. 21n1-¹³+√1 − x² + C | OC. In 1-²+√1 = z²…

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Q: Evaluate S ○ In O Divergent ○ In 11 ○ 6 In 11 6 dr 2²-25 16

A: We need to evaluate integral.

Q: 4. Evaluate (²52³Vl-Pax

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Q: 6. J 4 x4-1 -dx

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Q: Solve the initial value problem: dy dz 9y, y(0) = 1

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Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: A region is bounded by the curve y = √√2 - x and the lines y = -x and the x-axis. The integral…

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Q: Solve the initial value problem: y'(x)=√-2y(x) + 35, y(-2) = 5

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Q: Set up the equation in solving volume of the solid generated when the area bounded by a = √√√y, x =…

A: Given that,

Q: Consider the function f(x)=5/x^2 - 9/x^7 Let F(x) be the antiderivative of f(x)with F(1)=0 then…

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Q: Sdr Select one: O A. OB. O C. O D. (2x-1)³ V + √2x−1+C 3 +√√2r-1+C +√√2r-1+C + √√√2r-1+C (2z-1)³…

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Q: π/2 The integral f/2 So sin drde is equal to cos O-1/2 O 1/2 0 1 00 10

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Q: Find the gradient of the function at the given point f(x, y) = 5x + 4y² + 1, (1,4) Vf(1, 4) =

A: Solution of given question is written in below steps.

Q: A dam has a semi-circular gate at the bottom that is 4 m in diameter. The dam is 12 m high and…

A: Given data as follows :- Diameter of the semicircular gate is 4m. Height of the dam is 12 m.  Water…

Q: What is the slope Curve y = of the +9 tengent Jine to the when X=4?

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Q: Work Problem You must provide a clear and detailed solution for the question. Let z = (y - 2x) ³,…

A: Please see the below picture for detailed solution.

Q: If f(x, y) = ln (xy) — 5 sin y, then ƒx(1, ´) = T Select one: True O False

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Q: f(x) = x²-3x + 7 concave upward concave downward X X

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Q: Given that the graph of f(x)f(x) passes through the point (5,10)(5,10) and that the slope of its…

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Q: Let F(x) = = (x − 3)³ − 4 cos (x-3) Find lim F(x). x 3 + lim F(x) = x+3+ x < 3 3 ≤ x

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Q: Solve the following initial value problem: y(t) = = dy dt +0.9ty = 6t, y(0) = 1

A: Given: dydt+0.9ty=6t,      y0=1

Q: A 4 C 5 3 Find sin(ZABC +60°). B

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Q: Solution is incorrect. Please correct it.

A: dydx=6y18+9x2y18⇒dydx=6y18(1+9x2)⇒y18dy=6(1+9x2)dx

Q: an upright cylinder with a base radius of 5cm and a height of 10cm has a possible error of 0.08cm…

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Q: Find the limit of the following sequence or determine that the sequence diverges. {tan - 1 (₁ -1…

A: Here we have to find the limit of a sequence.

Q: If y = xcosx, what is dy if x = and dx = 0.2 ? 0-1/2 0-20 05/0 O EN T 10

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