01. |x2 - 1\dx = a. b. 2 C. 432 - 23 23 d. 틀-

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

A: We have to choose the correct option from the given options according to the given information

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: Question interval [0, 12]. Select one: True False If f(x, y) = 3√/16 - x² - y2, then the range of f…

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

A: See this solution in below

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: Explain why the vectors u₁ = (2, 4,-4) U₂ = (-4,-8, 8) form a linearly dependent set of vectors in…

A: To find the reason for the given vectors to be linearly dependent.

Q: Explain (in words) what transformations it takes to transform the function f(x) = x³ into the…

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Q: x² 2 =dx 2 √4+x²

A: solution:-∫x24+x2dx=4∫x2441+x24dx=2∫x221+x22dxwe know thatcosh2t-sinh2t=1cosh2t=1+sinh2tusint…

Q: Every student who wishes to enter the public library at Hotel de Ville (HdV), in the center of…

A: The solution is given below

Q: If p = (7, 2) q = (5, -1), find p - q.       a)  p - q = (2, 1)   b)  p- q = (12,1)   c)  p - q…

A: p = (7, 2) q = (5, -1), find p - q here we have to make substraction of set here we have to…

Q: 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…

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

A: Given the limit is  limx, y→4,-5 25x2-16y2-5x-4y.

Q: The domain of the following function: is: f(x, y) = Select one: O A. D= {(x,y) y ≤7-3x} O B. D= {(x,…

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Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

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Q: State the domain of each function below in interval notation. 3x a. q(x) = 39 x+9 b. p(x) = 3x³x² +…

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Q: Evaluate √xdx f 1+x

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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: In Exercises 19-24, match the parametric equations with the paramet- ric curves labeled A through F.…

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Q: S sin² 2xcos² 2xdx

A: This question is based on indefinite integral using Trigonometric formula.

Q: Exercise: 11 [ Solve the non-exact differential equations (Apply Rule IV)] 2. (xy³+y) dx + 2 (x²y²…

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Q: Find the length and width of a rectangle that has an area of A square centimeters and a minimum…

A: We can find the correct answer by checking the individual options as below.

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: Verify that the line r(t) = [1 + t, 1 - t, t] is part of the one sheeted hyperboloid x^2 + y^2 -…

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Q: Estimate the area under the graph of f(x)=1/x+1 over the interval [3,7] using ten approximating…

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Q: Evaluate fz² In z dz using integration by parts O² Inz-+c Onz-+c Onz-+c 2²lnz - 2 + c 12 21

A: Solution:  step-1: Evaluate ∫z2*lnz dz using integration by parts                Formula for…

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

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Q: QB3) Verify fxy-fyx for the function f (x, y) = 4x (Iny) + 4y (Inx) + (²²4 2²

A: We have to prove fxy=fyx for the given function.

Q: Which is not the about f(x) = |x|? Continuow at O no targent line at 0 Derivative from left at O is…

A: Use the function value to evaluate which one is false

Q: Find lim X-0 √x² + 100-10 x²

A: We will find the value of the limit in the following step.

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: 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: If f'(1) = 4, f(1) = 2, and g(x) = f(x) tan-¹x, what is the slope of the tangent line to the curve y…

A: Here we have to find the slope of the tangent line.

Q: What is the angle of inclination? x +₂y + 8 = 8=0

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Q: Find the general solution of the following differential equation. y” + 5y′ − 14y = 0 NOTE: Use c₁…

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Q: If -9x+7y √6-x²-y² f(x, y)= then the domain of f is equal to D = {(x, y)| x² + y² < 6} Select one: O…

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Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: Given function :- f(x) =3√x  Estimate f'(1)

Q: 4. (xy² + 2x²y³) dx + (x²y - x³y²) dy = 0

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Q: Inverse functions Let f(x)=11x+10   Find f^−1(x)  f^−1(x)=

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Q: A heart-shaped graph in a 2D plane is defined by the equation (x² + y² - 1)³= 4x²y³ Determine dy/dx…

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Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

A: This question can be solved using the concept of horizontal and vertical asymptote of rational…

Q: Evaluate the series or state that it diverges. Σ n=0 5-1 6n Select the correct choice below and, if…

A: To evaluate the series.

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

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Q: In³ w 3 w√In²w-4 mp

A: Given :∫ln3wwln2w-4dw

Q: Solving the following secondary order differential equation: d²x dx dt² 3. +2x = 5e-³t dt

A: Solve differential equation

Q: √x +3 If f(x, y) = xy +7 the domain of f(x, y). Select one: True O False then the point (1, −7) is…

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Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

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Q: Find the volume of the solid generated by revolving about the line x = -4 the region bounded by the…

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Q: Let z = (y - 2x) ³, where x = s′ s²t and y = st². Use the Chain Rule to dz find when s = 2 and t =…

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Q: Let f(x) = x³ + √√. Then f'(1) = 02 O 1.5 O 3.5 04

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