If V f(x, y) = (x² - 1,√y-1), then f have two critical points (1, 1) and (-1, 1). Select one: O True O False

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Q: 8-x-1² if x 2 Calculate the following limits. Enter "DNE" if the limit does not exis f(x) Let f(x)…

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Q: Find the length of the dashed zig-zag path in the following figure. 34 0.75- 0.5+ 0.25+ 00.25 0.5…

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Q: The solution of 3x-33 O b. x>6 O c. x<3

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: The slope of the tangent line to the curve y = 4 X at the point 5, is: The equation of this tangent…

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Q: x²-x-5 x(x²-x-2) Evaluate - dx

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Q: - Q1. If g = xy — yz — zx and F = x²y ī− 2 y²zj – z²x k, find F. grad g and cross product of F and…

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Q: 2. f cos²xsin² xdx

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Q: What is the integral that represents the length of the curve from x 2 to x = 4. Select one: 4 O…

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Q: f(x) = 5* g(x) = log5 (²²= 4) Find (fog)(x) and obtain its domain. h(x): - 6 <- x 2x-5

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Q: -x-y-z Find the average temperature in the box D = {(x,y,z): 0≤x≤ In 3, 0sys In 9, 0≤z≤ In 27) with…

A: Given :Dx,y,z: 0≤x≤ln3, 0≤y≤ln9, 0≤z≤ln27 Tx,y,z=18e-x-y-z

Q: Use a triple integral to find the volume of the solid bounded below by the cone z = √x + x² + y² +…

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Q: Determine whether the following series converges or diverges. 2 9k +17 2 Σ k=11

A: Given Series   ∑k=1∞ 9k2+17k2To find: convergence or divergence of the series

Q: ∞0 2. Use the Alternating Series Test to determine whether the series (−1)”+¹ . converges 4 n-1…

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Q: y" + 3y' + 2y = U₂(t); y(0) = 0, y'(0) = 1

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Q: Evaluate • F. dr. F(x, y) = xi + yj C: r(t) = (7t + 5)i + tj, 0 st≤ 1

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Q: 1.) a. Verify that y, (x). and y₂ (x) e are solutions of the differential equation 2y" y'-y-0 on…

A: We have to find if given are solutions to differential equation or not.

Q: Find the graph of the polynomial function P(x) = x² + 2. -20 -16 -3 -12 -8 M 4 3 N -1 2 دی T in 20…

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Q: L1Q7. If the degree of a polynomial function is odd and the leading coefficient is negative, then…

A: We can solve as follows

Q: Express e in the form a + ib. (Simplify your answer completely.) z = −7+3″ i 447

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Q: Use the properties of infinite series to evaluate the following series. 3. 5" Σ n=0

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Q: Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: Let V₁, V₂, and v3 be vectors in a vector space V, and let T:V R³ be a linear transformation for…

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Q: After his receiving his first income, Juan dela Cruz invested P20,000 in a bank for his future…

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Q: Solve the given differential equation by undetermined coefficients. y" - y' - 30y = e6x y(x) =

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Q: f(x) = 5* g(x) = log5 (2²-4) Find (fog)(r) and obtain its domain h(x) 6-x 2x - 5

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Q: Find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is…

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Q: IV. Determine whether the following series converges or diverges. Show your complete solution. +00 3…

A: To determine whether the following series converges or diverges.∑n=2+∞ n4-234n3+5

Q: Which of the following are true of vertical asymptotes? Select all statements that are true.…

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Q: Find the work done by the force field F on a particle moving along the given path. F(x, y, z) = yzi…

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Q: Given the function h(x) below, select the answer choice(s) which correctly decompose h(x) into…

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Q: f _____________, then the graph of the polynomial function is symmetric about the origin. A.f(x) =…

A: Note that, a function that is symmetrical with respect to the origin  is called an odd function.

Q: Lateral surface area = Sc C: x² + y² = 64 from (8, 0) to (0,8) f(x, y) = x + y p f(x, y) ds (X, Y)…

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Q: 10+200

A: Using sum rule

Q: Find the general indefinite integral. (Use C for the constant of integration.) Sax ⁹⁹ .99 ax ⁹⁹ +…

A: As per our guidelines we only solve one question (1st question) and rest of the question will be…

Q: f SSR5e -27 sin(5x)y cos(2y) dxdy = f, 5e-2¹ sin(5x) dx f2, y cos(2y) dy where R = [-1, 1] x [1,2].…

A: This is a double integration problem

Q: Question The range of the function f(x,y)=-2+e√²-x²-ylis: [3:2+e] O This option None of these O This…

A: We have to find the range of the function.

Q: Find a linear equation that expresses the relationship between the temperature in degrees Celsius C…

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Q: d the length of the dashed zig-zag path in the following figure. X+ 0.75+ 0.5+ 0.25+ 00.25 0.5 0.75…

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Q: Question (x,y) = (0,0) Let f(x,y)=√+² (x,y)=(0,0) The function is continuous at the point (0, 0) if…

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Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = None of these. f'(x) = f'(x)…

A: topic- derivative of a function quotient rule:uv'=vu'-uv'v2

Q: Find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is…

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Q: L4Q16. The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

A: The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

Q: Let f(x) = { if x - 4 m= mx 6 - If f(x) is a function which is continuous everywhere, then we must…

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Q: rticle subject to a force F(x, y) = (-6y, 6x) moves clockwise along the arc of a circle of radius 4…

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Q: Differentiate from the first principle f(x) = x² +6x² + 3

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Q: Given f(-6)= 18, f'(-6) = -16, g(-6) = -10, and g' (-6) = 14, find the value of h' (-6) based on the…

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Q: Question 5 A planning engineer for a new flour mill must present some estimates to his company…

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Q: Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 6x - 4x² g(x) = c₁f₁(x) + c₂f₂(x) +…

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