The limit lim (x,y)→(4,-5) exists and equals to Select one: O True O False 25x²-16y² -5x-4y -40

Q: f(x, y) = Find fx, fxy, and fxyx. 7 8x+5 + 8x³ e-8y

A: The given function is;  f(x,y)=7/(8x+5) +8x3/e-8y.

Q: Let Find fa, fay and fryz f(x, y) =In(xy)-26x¹0 y 10

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Q: Question 12 Find the 2nd derivative (y") of y=√x ln x In 2

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Q: Evaluate the integrals using trigonometric substitution dz 2² √2²-4

A: Find the inegrals by Trignormeric substitution

Q: Evaluate f 2x³ +9x (x²+3)(x²-2x+3) dx

A: Evaluate ∫2x3+9xx2+3x2-2x+3dx=?

Q: Find concave upward and concave downward of 6x^2-x^3

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Q: Evaluate cosh² x dx 0 (sinh2n +a). +x) + C O2e² +42 + C 8 O None of the choices O cosh(z)sinh(z)++C

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Q: if: z = cos 0+isin prove that: 1) 2+1 z+1 2)221 +1 = itan 0 z² = Z

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Q: Given f(x) (x + 21 -x² 4 x < -1 -1 < x < 2 x ≥ 2 a. Evaluate f(-3) b. Evaluate f(-1) c. Evaluate…

A: We need to find values of function.

Q: What is the value of k so that the function f(x) is continuous at x=2 O-3 O - 3/2 1/2 0 1 T-2k f(x)…

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

A: To find out the partial derivative.

Q: 7. The critical points of the function f(x) = 1³-272 are (a) ±3 (b) ±1 (c) +√2 (d) 1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If f(x, y) = x cos y, then fry(0, 1) = ? Select one: O 1 -1 O None of them sin y

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Q: C What is f" (x) of f(x) = x Arc sin(x) + √1 − x²? Arc sin(x) 2 √1-2² √1-7² ◄ Previous + Arc sin(x)

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Q: Determine the derivative of the following function and simplify: tan³ (22) sin² (5x) - O 2 tan² (2x)…

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Q: Use synthetic division and the Remainder Theorem to find the indicated function value.…

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Q: if g(x, y) = yln(x) - x²ln(2y + 1) then 9x (2,0) = 0 Select one: O True O False

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Q: (c) lim ln(csch ¹x) #+++∞

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Q: The domain of f(r. y) = Select one True False 19-y V is the upper half of the disc centered at…

A: fx,y=9-x2-y2y

Q: Use an appropriate test to determine whether the series converges. Σ k=1 By the 9 k 12 9 this series

A: Please see the below picture for detailed solution.

Q: increasing decreasing f(x) = sin(x) + 1 T 2 + πn,∞0 0 < x < 2π (-∞0, 1/2 + 1) X X

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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: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

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Q: Find the first partial (a) derivatives of the function f(x, y) = x²y√√√y + 4y². (b) fxyx of the…

A: A two variables function f(x,y) is provided. We have to find the first partial derivatives and…

Q: The partial derivative of the function f(x, y) = 4x² - 3xy + 5y - e3x+8y with respect to y is:…

A: The given function is;  f(x,y)=4x2-3xy+5y-e3x+8y.

Q: If f(x, y) = x³y + cos(x) then (fa, fy) = (3xy - sinx, x³). Select one: O True O False

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Q: ات, 01 +19+₂1 x+₂²0 +19+₂. 1. Evaluate

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Q: 4. Evaluate (²52³Vl-Pax

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Q: In(t³ + 1) + t³ + 1 r(t) = 4: then the limit lim r(t) equals 1-0 -i-(4e-²¹-5e²¹)j- - sin³t -k, 13

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

A: For a geometric sequence with first term a1 and common ration r is given by an=a1rn-1, for…

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

A: We need to evaluate integral.

Q: The volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

A: The volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

Q: Find the gradient of the function at the given point. Function Point (7,4) f(x, y) = Vf(7, 4) = x +…

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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: Activity 1. Evaluate the following definite integrals by using the fundamental theorem of Integral…

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Q: J7 -dz 21-8

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Q: 1= z In zdz

A: Given, ∫ xlnxdx

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.

Q: What is the equation of the tangent live the When X = 4 √(x) = ² -6√x cheve f(x) = 3/

A: Given ::fx=8x-6xx=4

Q: If then fyx (1,0) = ? Select one: 0 - sin y -2 None of them 2 f(x, y) = 2x cos y,

A: The required partial derivative is evaluated below.

Q: Given: y Find: y-intercept O P(0, 1) O P(0,1) O P(1,0) 1 (ex + 1)² no y-intercept

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Q: e the figure to answer the questions. point A point B B point C point D point E y C D (a) At each…

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Given: y=x316-12x

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

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Q: The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights…

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Q: The domain of the function f(x, y) = Inz x-y is: Select one: O The region below the line y = x but…

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Q: DEMAND FUNCTION! → X зорех REVENUE FUNCION • R(x) = 2 р IF ((x) = 18,000 + 500x sop لعاصد 25,000-50p…

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Q: (z In z + 5)dz

A: