Which of the following is the answer of x² - y² ·? lim (x,y) (5,5) 2x - 2y Select one: -5 O 5/2 05 O Does not exist O None of them

Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

A: See this solution in below

Q: dz Evaluate: ¹5 10+2x 01 O Divergent O 0 O-1 15

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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: 4. √₁² √9-x² dx

A: Follow the procedure given below.

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: What is the slope of the curve corresponding to the ff. function at the point (-3, 9/2) 1= 2²-₂ y O…

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Q: Integrate the given function (Handwritten) tan2x + 2x^2x

A: Here we use basic formula of integration .

Q: dz Evaluate: ¹5 102 -5 0 1 O Divergent 00 O-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: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

A:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

A: Given that   f(x,y)= z = x2-2xy+y2     So,  this can be rearrange as…

Q: O ди If u = f(x,y), x = g(w) and y = h(w), using Chain Rule, what is aw O ди aw ди Əw || O all of…

A: u=fx,y, x=gw and y=hw

Q: Let f(x)=√6- x and g(x) = x² - x. Then the domain of f o g is equal to Question Help: Video Message…

A: Given- f(x)= 6-x f(g(x))= 6-x2-x f(g(x))= -x2+x+6 Domain of f(g(x))- -x2+x+6≥0 x2-x-6≤0

Q: Find the sum of the first 11 terms of the geometric sequence: 7, -21, 63, -189, 567, . . . .

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Q: Integrate (2x + 5)(2² + 5x)² dr Select one: O A. (²+5x) + C OB. (2²+5x) + C OC. (x² + 5x) + C OD.…

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Q: A 4 C 5 3 Find sin(ZABC +60°). B

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Q: A screen saver displays 3 cm x 5 cm and then expands it in such a way that the length of the longer…

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Q: A movie theater has a seating capacity of 163. The theater charges $5.00 for children, $7.00 for…

A: A detailed solution is given below

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

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Q: Is it possible to have it a little more detailed?

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Q: Work problem 3 ( Given the vector function F(t) = (6t³ - )) 5 sec(4 — t)), then find the tangent…

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Q: A road perpendicular to a highway leads to a farmhouse located a = 1.5 km away. An automobile…

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Q: 9. The anti-derivative of the function f(x) = e² + cost is (a) e²+ sinx+c (b) e² - tanz+c 10. 0.5(x…

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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: Find a set of parametric equations of the line segment from (-1,-3) to (6,-16)

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Q: Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 10…

A: topic- simple interest and equations

Q: lim I→0 √2+11-√11 I

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Q: Choose the correct answer for the following limit: Select one: Ο Α. 0 O B. Does not exist. OC. None…

A: According to question,Given Limit,Let l = limx, y→0, 0x3 + 6y25x3 + y2

Q: Work problem 30 Given the vector function 5 F(1) = (61³ – ¾, sec(4 − 1)), t then find the tangent…

A: Given :Ft=<6t3-5t, sec4-t>at t=4

Q: Consider the following. lim x3/x x→0+ (a) Describe the type of indeterminate form (if any) that is…

A: Given problem:-

Q: Find an equation of the tangent plane to the surface at the given point. x² + y²5z² = 29, (-3, -5,…

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

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: Let f(x) = X x - 3 g(f(x)) = and g(x) = 4 X Find the following functions. Simplify your answers.…

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Q: The differential equation Find such a solution and then give the related functions requested. dy =…

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Q: Evaluate: cot¹ (+) -do 0² O None of the choices Ocot³ (1)-cot (1) + 0 n ( ² ) − ² + c - ()επει ο -…

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Q: Which of the following is the partial derivative with respect to x of the function f(x, y) = 2y sin…

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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: The limit exists and is equal to 0. Select one: O True O False lim (x,y) →(0,0) 36x²+25y² 6x+5y

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Q: Evaluate: f³² ƒ³³ fő cos(# ) dzdxdy J(ㅠ-2) ○ 4 (ㅠ-2) ○ 4m ㅇ 풍 4

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Q: Question 35 If z = x arctan 0 - 4 OFF O undefined ◄ Previous (²).find əz əx at x = 0, y = 1, z = 1.

A: To find the partial derivative of z with respect to x.

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: lower sum upper sum Function f(x) = 9 - 2x s(n) = S(n) = Interval [1, 2]

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

A: Suppose that x=c is a critical point of fx then, If f 'x>0 to the left of x=c and f 'x<0 to…

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: Given that, the function is gx,y,z=xye8z and the points are P3,12,0 and Q0,0,0.…

Q: If z = -9xe-4xy and x = √√t, y = . Then, the value of 27 t = 4 is equal to 4e² Select one: O True O…

A: We can answer the question as below using the rules of derivative.

Q: A particle is moving with acceleration a(t)=30t+8a(t)=30t+8. its position at time t=0t=0 is…

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Q: 1. dx x³ + x²

A: Given, ∫1x3+x2dx

Q: Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x…

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Q: A polynomial f(x) and one or more of its zeros are given. f(x)=x²-4x³+27x² +8x-58 2-5i is a zero…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³y³, P(8, 3),…

A: Here we have to find the direction derivative.