Evaluate 0-2²-²4 where is a unit cele centered at the origin

Q: Find the area of the region bounded by the curves y = y = -x² + 4x. 9/4 11/3 12/15 8/3 none of the…

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Q: Find the general Solution of the complement of the following differential equation y" - yy) +y =oy=0

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Q: Find the area of the region enclosed by the given curves. y = 2√√√√x, y = x - 3,x=0, x=4

A: Given y=2x, y=x-3 x=0, x=4To find area of region enclosed between two curves:

Q: Analyze and sketch the following curves.Indicate the intercepts, asymptotes, and critical points

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Q: Determine the x-coordinate of the local maximum of the curve y = (2x - 1)2 (3x + 4) in the interval…

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Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: Given :- Given m = 6, n = 1, and v = <-4, 7>, what is v(n-m)?

Q: Evaluate the double integral: r2 Y To 0 √y¹/3 x7 +1 (Hint: Change the order of integration to dy…

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Q: 1. Find the sum of the following infinite sequence: 40, 20, 10, …

A: A detailed solution is given below.

Q: Find the domain of the function of 5 log₂ (4-x²)+11 f(x) = 12x-31-2 + sin¯¹(1 − 2x) Express your…

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Q: TRUE or FALSE: 1. The integer 5047 is a prime numbe

A: To write down that the given number is a primer number or not.

Q: (EQUATION

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Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: Let's find lowest and highest temperature by using langrange multipliers.

Q: 3x²+2 0 2x²+4x+3 In 121 3 So Option 1 In 131 2 Option 3 None of the above dx Option 2 2 In 131 2 2…

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Q: 3.lim X→π In(cos2x) (π - x)²

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Q: Problem #1: Using lim 0 6x³ 8x 2 at x = -2, f(x+h)-f(x) h Find the slope of the tangent line y =

A: Let's find slope of the tangent line by using limit definition.

Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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Q: Find the Fourier transform of Hint: Use the integral formula Se-¹² du = √π e-a²₁²

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Q: Q) choose one only 1) If y = (x − a)√/2ax − x² + a² sin-1 (*), then y' = 2√/2ax-x² - a a is…

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Q: (1 + sin y) dy

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Q: I. 2.) Simplify. Write "undefined" for expressions that are undefined. 2 5 3 2 41610 + -6 -6 2 2

A: Given:26-64.53-62+1220We need to simplify.

Q: each of the following functions: (Use short (b) g(x) (a) f(x)=(5x³ + 2)(x²-3x+1)³

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Q: Use a double integral to find the area inside one leaf of r=3sin2*theta

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Q: The integral represents which quantity? O the total mass with density F O the length of the curve C…

A: Solution

Q: Match each of the following vectors with its magnitude. t=(-7, 1) a. 5√2 u = -21-8j b. 2√√5 a vector…

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Q: b.) xyz dv if S is the region bounded by the cylinders x² + y² = 25, x² + z² = 25 and the first…

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Q: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 5π/4…

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Q: Classify the following ODE's with respect to order and linearity. a. 3x-y' - 5y = 7x³ - 8x+1

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Q: Given I(0) = cos (0 + π), (a) Find I(-) analytically. (b) Find I' numerically by using a central…

A: Given: Iθ=cosθ+π. (a) Differentiate with respect to θ, I'θ=-sinθ+π…

Q: f(x)-f(a) a. Use the definition mtan = lim x-a x→a b. Determine an equation of the tangent line at…

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Q: Question 18 If F is a conservative vector field in R³ and C is a loop (curve whose initial and…

A: To find which thing is true about given line integral.

Q: termine the absolute maximum and minimum values of f(x) = cos²x-cosx the interval 0≤x≤ 2π.

A: Please refer to the image below

Q: Find the area (in square units) bounded by the parabolas x² + 2y - 8 = 0. a. 7.10 sq. units b. 7.01…

A: Here we have to find the area bounded by the parabola.

Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2) s²-4

A: Given :L-13ss2-4

Q: If Vf = F, then F is called a potential vector field, and f is called a conservative function. O…

A: Answer: True

Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

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Q: consider the function y=−3sin(4x−π/2)+1  a) What is the amplitude? b) What is the period?  c)…

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

Q: 1) If y = (x − a)√/2ax - x² + a² sin a is constant. sin-¹(*), then y' = 2√/2ax - x² a

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Solve for y at x=2: (x5 + 3y) dx - x dy = 0; x=1, y=2

A: We need to s0olve D.E.

Q: Let a(t)=20e^-0.3t ( in milligrams) be the amount of drug in a patients body at time t where t is…

A: Given problem:- Let a(t) = 20e-0.3t (in milligrams) be the amount of drug in a patients body at time…

Q: Find the linearization f(x) = √x, L(x) = L(x) of the function at a. a=4

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Q: the Following differential equation ²²=1+ P²

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Q: 2. If g(x)=√√3-x and f(x) = x³ +1 evaluate the following: gof(-1) b. (g-f)(2)

A: Given, g(x)=3-xf(x)=x3+1

Q: Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

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Q: Which is an equation of a line? A. y = 4 B. x = y^2 -4 C. y^2 = x^2 + 4 D. x^2 + y^2 = 0

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Q: Let a(t)=20e^-0.3t ( in milligrams) be the amount of drug in a patients body at time t where t is…

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Q: P 2. ( Use the disk or washer method to find the volume of the solid obtained by rotating the region…

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Q: 3. fx²(9-x³)5 dx 4. J√4x-1 dx

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Q: Evaluate S√9-4x² dx a. 0.285 b. 0.123 c. 0.423 d. 0.365 e. NONE OF THE ABOVE

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Q: 1) If y = (x-a)√2ax-x² + a² sin-¹(*), then y' = 2√/2ax - x² a a is constant. 2) If f(k)= k√a²-k² +…

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