Find the Area of the Surface obtained by rotating the curve about the y -axis y = √x, 1 ≤ y ≤2

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Q: Find all values of k for which the given augmented matrix corresponds to a consistent linear system.…

A: We have to find all values of k for which the given augmented matrix corresponds to a consistent…

Q: The length of the hypotenuse is 11. a is the length of the side opposite the 10° angle and b is the…

A: Solution is here

Q: II. Consider the circle C1 : r = 1 and the roses C2 : r = cos 2θ and C3 : r = 2 cos 2θ, each of…

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Q: Given the following sets: U= (Kazoo, French Horn, Guitar, Ocarina, Bamboo Flute, Viola, Saxophone,…

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Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x - 4 and parallel to the line 6x…

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Q: Use parametric equations to describe the solution set of the line equation below. Give the exact…

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Q: Considering C is a curve which has the following parametric equations: 1 t³t+1, C = { x (t) = { 1³3…

A: Parametric equation

Q: (-1)k 9. Does the series Ex=1 +7 converge absolutely, converge conditionally or diverge? A.…

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Q: sin (8x) sin(x) dx

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Q: Find the area bounded by the parabolas (x-3)² - 16ky = 0 and y² - 16k (x-3) = 0.

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Q: What integration technique can be used to integrate: Integration Formulas O Trigonometric…

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Q: S√4 4+² +3 dt

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Q: Determine the x- and y-intercepts for the given function. B(x)=5x+8

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Q: Using Simpson's method x²dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding…

A: SOLUTION-

Q: Which of the following is not true? A √ in(x²) dx = lim_ sin(x²) dx 3 3 dx dx Ⓒ 1² B In(x²) - = lim…

A: Solution is done in step 2

Q: 1+coshxsinhx+(sinhx)2 It is true that cosh x = Select one: True False Using Increasing/Decreasing…

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Q: 205(1.31), where t is given in The population of a herd of deer is represented by the function A (t)…

A: Given,A(t)=205(1.31)t

Q: Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression…

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Q: Find f. f(t) = 5e¹ - 6 sin(t) — 5 f"(t) = 5et + 6 sin t, f(0) = 0, f(π) = X 0

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Q: True or false Unlike the anglet in the trigonometric function cost, the t in the cosht represents an…

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Q: Find the area of the region bounded by y=x²-1, x=2 and y=0. Use horizontal element and express area…

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Q: Evaluate L L ³ xy² 1 3xy² dy dx.

A: SOLUTION-

Q: Find the volume of R using shell method, when R is bounded by y = 4x - x², y = 0 about the line x =…

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Q: If fx √1- x4 dx = ge ½ A B 0 C D) 1 H|2 H|4 g(e) de, then 9

A: We can solve the given integral by using substitution.

Q: How long will it take for an investment to at least double its original amount if it is growing at…

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Q: e2-s L-1 (5(5²-53) O [(-1/3) + e^(4(t-1))/3] e^2 U(t-1) O [(-1/3) + e^(3(t-1))/3] e^2 U(t-1) O None…

A: We have to find the inverse Laplace transform of the above expression.

Q: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: Jane is 2 mi offshore in a boat and wishes to reach a coastal village 6 mi down a straight shoreline…

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Q: Find the value of C so that the function is a density function. f(x) = [Cx¹ if 0≤x≤ 9 10 otherwise

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Q: 1. Evaluate the line integral of E = xax - y ay along the segment P₁ to P2 of the circular path as…

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Q: Create a bucket by rotating around the y axis the curve y = 2 ln(x - 2) from y = 0 to y = 4. If this…

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Q: Find the surface area if C = {(x, y): 1 ≤ x ≤ 2,y = about the x-axis.

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Q: Consider the vector-valued function 4t-8 [{m(3. In(3-t), 5,31²-8 8 R(t) 4-1² (0, -1,4), 1. Find the…

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Q: Which of the following is not true? (A) None of the given choices 3 dx dx Ⓒ = S B S³ = In(x²) lim c→…

A: All Option are  correct So we have to choose Option 'A'

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 S₁749 dx…

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Q: Z2 = Z1 Find the product z₁z2 and the quotients Z2 Z1Z2 = Z1 Z2 1 Z1 = II and Z1 (Express your…

A: As per the guidelines we can solve 3 problems only.

Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

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Q: Find the area bounded by the parabolas (x-3)² - 16ky = 0 and y² - 16k (x-3) = 0.

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Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: sin x (a) lim x x→0+

A: We have to determine limit by useing l hospital rule

Q: 6. (10 x 40) dx - x ²-8 x + 15 7. 10 cot 2x dx 8. (e 5x - e 2x + 8) dx 2 e 5x

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Q: Q1: convert the Integral So √1-x² (x² + y²)dydx to the polar coordinates. 277

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Q: Find the transition points. y = 6x5 - 90x³

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Q: 16. Find the area of the region bounded by the given curve: r = 9eº on the interval ≤0 ≤ 2m.

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Q: smaller x-value larger x-value (x, y) = (x, y) = X X

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Q: If y=(x-3)² revolved about y axis, find the volume of solid revolution of the curve from y= 3, to…

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Q: As you are walking in the forest you look up just as a boulder becomes dislodged from the side of a…

A: topic- algebra

Q: Consider the vector-valued function R(t) = (t³ — t, 2t²,2 — 21.²). 1. Find ||'(t) || (Simplify your…

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Q: State the initial value theorem. Verify the theorem for the functions: (a) 3-4 sin t (b) (t-4)² and…

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂:r = 2-2 sin (in red) and let R be the…

A: Given that polar curves  C1 : r = 3  and C2 : r=2-2sinθ  we have to find all points of intersection…