123 Evaluate the integral [[[x²y³ (x²y + xyz + y²²) dxdy dz 001

Q: Use Newton's method to approximate a root of the equation 4 sin(x) = x as follows. Let ₁ 2 be the…

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Q: Taylor Series Approximation Formula f" f"" (a) ² f(x) = f(a) + f'(a)(x − a) + ¹¹¹(a) (x − a)² +…

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Q: Use the difference an+1 an to show that the sequence {n-2"} is strictly increasing or strictly…

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Q: (a) Given functions f(x) = 3x+2 and g(x) = x³ - 1, find fog and the inverse of fog. 4. (b) Use the…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Q3. Find the cross product of the vectors and .

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Q: Solve the given initial value problem. x³y² - y³ = 45 ³y² + xy³ = 18 x²y² + xy³ = 90 x¹ y² + y² =…

A: Here we have to solve the differential equation.

Q: If y = √1 − x² sin¯¹x, prove that (1− x²) ¹ + xy = 1− x². dx

A: We can prove the given the result by differentiating the given function.

Q: 0=yج - - لا

A: Follow the procedure given below.

Q: 27) Calculate AC, BC and (A + B)C. Also, verify that (A + B)C = AC + BC 0 6 71 ΓΟ 1 1] 2 If A = -6 0…

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Q: 5.) (ya+yx) dx -x ² dy = 0 ny Simplier) + xbx = vbe+bv=xb. Y = VX keta dy=vdx + xdvo (v²x²+xx²) dx…

A: We want to solve the given homogeneous differential equation.

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A: Draw the graph.

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A: Given

Q: foxdx

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Q: given the following equation: 36y^2-4x^2=144.  a) determine if the function is an ellipses or a…

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

Q: 5

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Q: 4) √₂° e¯*dx = 5) S- dx = 4x+5 x²+x-2

A: Given, ∫2∞ e-xdxLet I=∫2∞ e-xdxI=e-x-12∞I=-1ex2∞I=-1e∞--1e2I=-1∞--1e2I=0--1e2I=1e2Therefore∫2∞…

Q: 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).

A: 5. Given that, the points are 1,3,0 and 2,4,4. Note that, the symmetric equation of the a straight…

Q: 1. For the vectors v = and u = a. Find v-u b. Find ||v|| and ||u|| c. Find the angle between v and…

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Q: Using Gauss Jordon elimination, determine the intersection, if any of the following sets of planes…

A: We have to use Gauss Jordan elimination

Q: Q5) Evaluate the following integral by using Partial Fractions Method = y = S₁ 2x²-3x+2 - (x − 1)².…

A: Use partial fraction to calculate the integral.

Q: Find the average value over the given interval. f(x)=x²+x-7; [0,14] The average value of f(x) = x² +…

A: We have to determine the average value

Q: 3. Evaluate f sin(3x - 1) dx

A: we want to determine the integral  ∫ sin(3x-1) dx

Q: Use long division to divide. (Simplify your answer completely.) (5x³-16 - 20x + x4) = (x²-x-3) 1-√13…

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

Q: 4. Using the vectors: ü=[2,-1,3], v=[4,5,-2], w=[1,-1,7], calculate: a) b) ux v c) ū+ v +2w

A: Here we have to perform the vector operation

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Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: solution:-the weekly online sale s(t)=600et in dollarsthe formula to find the average value of a…

Q: Explain why the integral is improper. 49 1 1²0 √/x dx 1.6 1.4 1.2 Y 08 0.6 0.4 0.2 10 20 X At least…

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Q: Use the table of integrals to evaluate the integral. 6² 3saxav 53x³√4x² - x4 dx

A: To evaluate the integral.

Q: Below is the graph of y= log₂ x. Translate it to become the graph of y= log₂ (x+2)+4. X -6 -4 -2 2 ?

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Q: A function f(x) is continuous on the real numbers and has the following features about the point x =…

A: This question is related to Functions, we will solve it using given information.

Q: find the to the the tang horizontal. X-volves at which the _9x+2 Y = ex curve ent

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Q: Q6) Find the Area bounded by the curves y = √x and x = 2y-y² ,with sketch.

A: The objective of the question is determine the area bounded by the given curves.

Q: Find the vertical shift of the sinusoidal function. fx -3πT -2T Simplify any fractions. T 6 5 ★ تلا…

A: Concept: The sine function's general form: y=Asin(Bx+C)+D The vertical shift: This is the vertical…

Q: Use any method to determine whether the series converges or diverges. (k!) 8 (8k)! k=0 O The series…

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Q: Question Use the graph of f(x) shown below to determine each of the following limits. If any of the…

A: Given graph of a function f(x).

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Q: Helicopter Task Introduction: An observer at Point A makes measurements that show that the peak of…

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: Using the Law of Sines to solve the triangle if ZA = 41°, ZC = 73°, b = 22 LB is degrees a = C =…

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Q: Evaluate cos¹3xdx. a. 0.245 b. 0.267 O b O d c. 0.229 27 d. 0.196 e. none of the choices

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Q: A utilities company wants to deliver gas from a source S to plant P located across a straight river…

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

Q: %VIII. १:०. By using the unlimited coefficients method, choose the correct answer for this equation…

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Q: Give the interval of definition for the solution to the initial-value problem 1 (t-1)y"+…

A: answer is in next step.

Q: Find the exact length of the curve. y = 5 + cosh (2x), 0≤x≤ 7

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Q: Describe the difference between a discontinuity that is removable and a discontinuity that is…

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Q: 6. The diagram below shows a regular hexagon. For each vector expression, write a single vector that…

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Q: Q2: Evaluate f sec²0 √tan²0-1 = do

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