x² dx √1+4x³

Q: Given the functions: f(x) = x³ - 2x g(x) = √2x h(x)=2x-1 Evaluate the function (gof)(x) for x = -3.…

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Q: A Let R be the region bounded by y = √cos x, x = generated when R is revolved about the x-axis. 4'…

A: Follow the procedure given below.

Q: Exercises: I 2, (3-x²) dx 3 (5+3x-x²) dx

A: The objective of the question is determine the Riemann sum and evaluate the definite integral.

Q: 9. S²₁ 22x Ẵ é đi

A: Here is the method to integrate by parts,

Q: B: solve the system of equations by Grammer Metho 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 x₁ + 2x₂ +…

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Q: why do you think is important to calculate those 8 basic ratios  shown in picture

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Q: 8. (x - 1) dx √x lim

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Q: Find the general or particular solution, as indicated, for the following differential equation. dy y…

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Q: Find the shortest distance, d, from the point (5, 0, -8) to the plane x + y + z = 8. d =

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Q: 63. 100% los telborey adi The graph of g consists of a semicircle and two line segments for -4 ≤ x ≤…

A: To find the area between the given curves.

Q: The distance between two moving objects whose positions are given by ( x₁, y₁ ) and ( x₂, y₂ ) is…

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Q: Could you explain in detail how you got tan^3(theta) = 3. Thanks

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Q: If x² + x = 1 Find 8 + 5* x+1

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Q: 2. Use a double integral in polar coordinates to find the area of the region. (a) The region…

A: We need to find the area of the given regions using double integral in polar coordinates.

Q: What is the area beneath the curve y=x2 +1 and above the x-axis from x = 0 to x = 4 by using the…

A: Here we have to use Riemann right end sum

Q: Q3: A: Solve the following differential equation Ỳ – (sinx) y = 2 sinx

A: We can solve the given differential equation by using the variable separable method.

Q: One car leaves a given point and travels cast at 20mph. Another car leaves I hour later and travels…

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Q: The acceleration function (in m/s) and the initial velocity are given for a particle moving along a…

A: The given acceleration function:at=t+4.Also, if v is velocity function, then v0=6.The given interval…

Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: e Transform of f(t) = sin²t By Rule.

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Q: Refer to functions m and q. Evaluate (qm) (x) and write the domain in interval notation. Write your…

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Q: Assume that the radius r of a sphere is expanding at a rate of 30 cm/min. The volume of a sphere is…

A: This question is based on derivative.

Q: 7. A company sells two models of a product. Suppose the profit equation is P(91,92)=−16.0 +598.8q₁…

A: We have to find the profit.

Q: The pressure P and volume V of an expanding gas are related by the formula PVb = C, where b and C…

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Q: Use the equations to find дz ax дz = || = дz ах əz ах = and ƏF ?х ƏF дz дz ду e² = 2xyz and əz ду…

A: The solution is given below

Q: Find dy/dx if y=3x2 – 2x.

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Q: me following limit, identify f(x), a, and L. elect the correct answer below: Of(x) = -x + 2; a = -1;…

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Q: 2-S Sin ³ x cos" x dx

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Q: pute for the derivative of the function below for x = 0 X O 2-34- Answer:

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Q: s sin xv9+ cos2 xda xdæ

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Q: Find w such that 2u + v 3w = 0. W = u = (2, 0, 0, -6), v = (-3, 5, 1, 0) 151 3'3'3' - X

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Q: DIFFERENTIAL

A: Please refer to the image below

Q: Assume that all variables are implicit functions of time t. Find the indicated rate dy dy dt x² +…

A: topic- implicit differentiation

Q: ○y-3 = cx6 + 3²

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Q: Find (f-¹)'(-6) given the following table of values. (Enter an exact answer.) Provide your answer…

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Q: Find the integral of the following: 1. tan(x)sec3(x) dx 2. csc4(x)cot5(x) dx

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Q: 2. Find the first 4 terms of Taylor series for the function (In x4) about x = 3 ?

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Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

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Q: Lucas does not like Dustin weapon and decides to design his own. His model has a plane that contains…

A: The statements which are true is given below   i) The plane has a parametric equation that can be…

Q: S x² + x x³ − x² + x - 1 - dx

A: We have to solve given integration by partial fraction decomposition.

Q: Explain why l'Hôpital's rule does not apply. If the limit exists, find it by other means. Use - ∞…

A: Here we have to choose the correct option.

Q: 13. Σ n=0 + 1 20 (−1) (-1)") 5"

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

Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A: Given question:- In problems 1 and 2. List both the order of the DE and state whether the DE is…

Q: 2. 6 cos 2x dx

A: To evaluate the given integral.

Q: For x = - 5, determine whether f is continuous from the right, from the left, or neither. (graph…

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Q: Find the points on the surface z²2=xy+1 that are closest to the origin using LaGrange multipliers

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Q: Evaluate the integrals: 1. 2. -2 dx 0 8+2x² x+3 2x3-8x S - dx

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Q: Evaluate the following double integral by converting to polar coordinates where J 5xy 2x² + 2y² R…

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Q: Exercise: Find the area 1. 2. of the region bounded y= y₁ q-x², x=0, x=2, X-axis. y=x²+₁, X=1, x= 3,…

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Q: Exercise: Find the area 1. 2. of the region bonnetest bounded y= q x², x=0, x=2, x-axis. y=x²+₁,…

A: See this solution in below