z = √xy, dz dt t², y = -t² then 2 2 2t²) =?

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: 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: Assume mmh (x) = f(g(x)) such that the first an exist g Second derivatives of both of and What is b"…

A: Assume h(x) = f(g(x)) such that the first and second derivatives of both f and g exist  We have to…

Q: Evaluate √xdx f 1+x

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Q: What is f(x) of f(x) = log3 (1-2x)²? -32 In(3)-(1-2x)³

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

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Q: Solve the initial value problem y(t) = dy dt - y = 3e² + 18e¹t, y(0) = 9

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Q: d ng ar k thi A 4 C A Choose 1 answer: Find sin(ZABC +60°). B 2 5 - 3 10 3 3 + 5 10 5 √3 √3 B

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Q: f(x, y) a b) = 4x²+2y² Find the domain of f. Show that the limit does not exist lim f(x,y) (x,y) →…

A: Here, the given function is: f(x,y)=3xy4x2+2y2

Q: Find the minimum rate of change at (2,-2,0) and it's direction for f(x, y, z)= =. zy² H in the…

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Q: Evaluate: ffdxdydz 0 - 12/1 0 1 0/1/201 0 -1

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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: 1 Σ 3 k=4 √k -5k + 20 By the properties of the p-series, Limit Comparison Test, this series…

A: To find whether the series is convergent

Q: he method of variation of parameters to determin on of the given differential equation. y"" — y'′ =…

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Q: The following limit lim Select one: 16 equals 1 3 equals 0. does not exist. None of them equals 2x²…

A: To evaluate the following limit.limx,y→-2,2 2x4+2y43x2-3y2

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: We have to find the 10th term. The general term geometric progression is given by- an=a1rn-1

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

A: We need to evaluate integral.

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = tan…

A: The given sequence,   an=tan-1n

Q: 4. √₁² √9-x² dx

A: Follow the procedure given below.

Q: f(x, y) = 6√x - y²e-³xy е a) b) + elw Find få and fy. Evaluate frzy (4, −1).

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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: Which of the following are the tangent lines perpendicular to y = x, to the curve x + y² = 8? Oy=x+8…

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Q: 1. Find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1,-1).

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Q: 2 2 If z = f(x, y), where x = s² - t² and y = t² s² and z is differentiable, then - Select one: True…

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Q: The graph below is a transformation of the absolute value function f(x) = |x|. Write the equation of…

A: We have to find the equation of transformed graph.

Q: nter the exact answer. enter √a, type sqrt(a). lim x-2 √x+2-2 x-2 nt: You may want to rationalize…

A: Limit problem

Q: If f(x, y, z)=√x²y² z², then fxyz (x, y, z) = 2xyz √x² 1² z² Select one: True O False

A: We have to state if given statement is true or false.

Q: 15 0 2) is an eigenvector of the matrix 25 -12 -6 A = 60 -31 -15 -36 22 10 associated with the…

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. dy dx At 4, x…

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Q: If f(x, y) = 2√/16 - x² - y², then the domain of f is the set D = {(x,y)|x² + y² ≤ 16}. Select one:…

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Q: The annual number of passengers going through Hartsfield-Jackson Atlanta International Airport…

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Q: Find the general solution of the following differential equation. y" + 4y + 8y = 0 NOTE: Use cy and…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Question af If f(x, y) = xy² - x ln(y) find Ət if x(t, s) = s² - st³ and y(t, s) = e-st².

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Q: Evaluate: ffefdxdydz 0-1/1 O 01/12 O-1 S

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Q: Can you please show the working i do not understand.

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Q: Evaluate: S 2y+3 (y-1)(³-1) dy ○ − In\y − 1| − § (y − 1)³ + ½ In|y² + y +1| - arctan (√3(2y+1) ) +…

A: To evaluate: I=∫2y+3(y-1)(y3-1)dy=∫2y+3(y-1)(y-1)(y2+y+1)dy=∫2y+3(y-1)2(y2+y+1)dy

Q: Find (²-1) ln(x)dx

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Q: SSR e-x² dxdy

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Q: Find the gradient of the function at the given point. In(x²-y)-3, (3,8) X Vz(3, 8) = z =

A: The given function,   z=lnx2-yx-3, at the point 3,8

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: Choose the gradient of the function f defined by f(x, y, z)= In[1 + (17xy + xz +9yz)²].…

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Q: Given the function f(x, y) = √2x + y = 1 - x + 1 Select one: O None of those O D= {(x, y)]y > 1 +…

A: To find out the domain of the given function..

Q: Q2 (A) At what points f(x, y, z) in which the function f(x, y, z) = continuous? is

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Q: or the function f(x)=sin(x), write Newton's formula as xn+1=F(xn)=xn−[f(xn)f'(xn)] for solving…

A: The given function is f(x)=sin(x) We need to solve for, f(x)=0 using Newton's formula:…

Q: Complete the table by determining the amount of money P (present value) that should be invested at a…

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Q: Evaluate f cosh² x dx đ (sinh 2 từ t + x) + C O 2r O2e² +42 + C 8 O None of the choices…

A: We have to evaluate  ∫ cosh2(x) dx

Q: What is f (x) of f(x) = 320 (2x-7)³ O4x²-28x-31 (2x-7)¹ [(8x-28)-4(4x²-28x-31)] (2x-7)¹ O4x²-28x-31…

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Q: Simplify t to approximate the sum of the area using right end points. j=1

A: Given :fx=2x+40, 2    n=4