-2 Evaluate: ²₁²[(x²-²²] 0 x+y du dt

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: topic- inflection points and concavity

Q: 3 Evaluate: ³₂²₁₁²[z³(x + y)³] dz dy dx

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Q: -2 (x² - y²)²] Evaluate: S₁ S² P₁² dx dy x+y

A: Let's evaluate given double integral.

Q: Find the area of the region bounded by x = the horizontal strip. y²+1 and the y-axis using

A: Find the area of the region bounded by x= 1/(y2+1) and the y-axis using the horizontal strip.

Q: 4x Find the average value of the function f(x): - 5 Submit your answer as an exact value. Provide…

A: Given problem:- Find the average value of the function f(x) =(4x/5) + 1 over the interval [-1,3].

Q: 2. S 2x 2 5+2x+x -dx

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Q: Be z = (x-y)/(x+y), where x = (u/v), y = (v2/u), calculate ∂z/∂u and ∂z/∂v

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Q: Evaluate the integral: 2 So sin(4t - u) du dt

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Q: Given F(x) below, find F'(x). cos - Las () (1² - 2) dr F(x) =

A: Given.

Q: ng a trig substitation, the integral (A) / sec(0) do dr can be transformed into one of the

A: Please refer to the image below

Q: The functions f₁(x)=e(x+a), f2(x)=e(x+b), and f3(x)=e(x+c), where a, b, and care constants, are…

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Q: Find the value of the following definite integrals. Show your solution. 1. f(x¹+4) dx 2. (cos x +…

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Q: Consider the function f(x)=2x^2 +(−4)x What is the value of the constant of integration such that…

A: Topic:- application of integration

Q: For f(x) = {²-1 if > 2 5-x if x < 2 Of is not continuous at x = 2 Of is differentiable at x = = 2 Of…

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Q: Find the area of the region bounded by the curves y = 1 (x+1)21 2 y = 4 and

A: Please refer to the image below

Q: solve the equation! - A (a) Y'(t) = -Y(t) + sin(t) + cos(t), Y(0) = 1; Y(t) = sin(t) + ce-t. b)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Z4 =:₂₁ (4x²yz - dz dy dx S₁

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Q: ¹₁1+x²x+2y dy dx

A: We need to evaluate the following iterated integral as following: ∫-11∫2x21+x2x+2ydy dx

Q: determine the parametric equations of the tangent axis to the ellipse x²/9+y²/4=1 at the point T =…

A: As we know that the parametric equation of ellipse at a point acosθ,bsinθ  is given by…

Q: III. Let f(x) = e2 sinx 1. Use the local linear approximation of f at x = 0 to approximate…

A: Given problem:- Let f(x)=e2sinx.   1. Use the local linear approximation of ƒ at x = 0 to…

Q: A farmer needs to enclose a field with a fence. He has 500ft of fencing materials and a building on…

A: Topic = Derivative

Q: 3 If the total cost function is given by TC = 300+5g + then the marginal cost function MC = I 3 O a.…

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Q: Example Find dy/dx for the function y = x² In (4x)

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Q: 1. Evaluate the assigned limit using L'Hopital's Rule. lim [cos (2x)]¹/(*-*) 2--

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Q: Sy² sin Sy dy 1 A) ----² cos Sv + y sin y sin Sy + 1 256 32- 1 1 B) ² cos By-y sin Sy-256 9-11-² sin…

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Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: 1) Associative property of addition (8+2)+4=8+(2+4) 2) commutative property of addition…

Q: ㅠ [sin(y) sin sin (y) sin² (y) 1+ cos(y) dy KIN

A: We will use substitution method to integrate.

Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

A:

Q: - Let v and w be vectors such that |v| = 2, ww = 36 and the angle between v and w is T/3. Calculate…

A: This question can be solved using the concept of vectors.

Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

A: Find the derivative

Q: Evaluate: xy² dx dy

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Q: True or False? 4. Let f : R → R be a function defined by f(x) = x^2+1. If B = {2, 5}, then…

A: according to the company rule we can answer only the first question and rust can be reposted.

Q: 5x 2 Evaluate: ²3x²dz dy dx 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate: SS₂₁ (4x²y — z³) dz dy dx

A:

Q: Find the area of the region bounded by the curves 1 y (x+4)²² y = 4 and the x-axis using vertical…

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Q: To find the distance across a river, a surveyor chooses points A and B. which are x 450 ft apart on…

A: Consider

Q: Suppose ƒ(x) = 2¹². What is the lim ƒ(x)? 700 O A. It is a vertical asymptote of f. OB. It is a…

A:

Q: The derivative of sec2 2x(cos2x−sin2x) with respect to x is

A: Given: f(x)=sec2 2x(cos2x−sin2x)   Simplify the function before finding the derivative: By  the…

Q: Write z, and z₂ in polar form. (Express 8 in radians. Let 0 ≤ 8 < 2m.) Z₁ = 4√3-41, 2₂ = -1 +/ Л 2₁…

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Q: Evaluate: ₁ [2³(x + y)³] dz dy dx

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Q: Using the process shown in this unit, sketch the function y = 2x3 - 3x2 - 11x + 6, labelling all key…

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Q: You are given the polar curve r = 3 cos(0). (a) List all of the points (r, 0) where the tangent line…

A: We have to find the point for horizontal and vertical tangent lines.

Q: Write Z₁ and Z2 in polar form. (Express in radians. Let 0 ≤ 0 < 2π.) Z₁ = 2√3-21, Z₂ = −1 + i

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Q: he first term of an anthmetic sequence is 6, and the tenth term is 2. (a) Find the common difference…

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Q: Determine the instantaneous rate of change of the function f(x) = [x² si sin (2¹) 1+√t x3 At x=1 dt

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Q: Does the following graph represent a function that satisfies the following conditions? f(0) = -2…

A: Here we need to cross check the given conditions are applicable to the graph of the function or not.…

Q: Find the value of the following definite integrals. Show your solution. L₂(x¹+4) dx 2. (cos x + tan…

A: Topic = Integration

Q: a) Determine the magnitude of a vector perpendicular to both n1⇀ =(-3,1,0) n2⇀ =(1,5,2) b) Describe…

A: The given vectors aren1→=-3,1,0= -3 i+1 j+0 kn2→=1,5,2=1 i+5 j+2 k