Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y=-2 about the line y = -2.

Q: 1f S₁ (x+5) dx = Sº (x+5) dx = 14, then the value of b is equal to If A) None B 3 с 4 D -3 E 2

A: We have to find the value of b.

Q: Find the volume of the solid obtained by rotating the region bounded by y = −10+ 6x - x², x = 1 and…

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Q: Find the average value of the f(x) from z = 10 to z = 16 f(x)= √² - 100 I

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Q: Given x - ³²+2y — In(y + 1), find the arc length for 0 ≤ y ≤4 8

A: The arc length of the curve x=f(y) for a≤y≤b is given by ∫ab1+dxdy2 dy

Q: [* [b3 - 3 3 dy

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Q: A company produces computers. The demand equation for this computer is given by p(q) = -5q + 6500.…

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Q: dx x+y cos x 1tsinx Ans: (1 + sin x)y + x² = c

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Q: (b) p = 2 sin p cos 0

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Q: olve for the general solution using the Power Series. The answer was ready given, you just have to…

A: Please see the below picture for detailed solution.

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: (b) the curve x = = y²-y-6 and the line x = = 2y + 4;

A: Given; x=y^2-y-6, x=2y+4

Q: A B C d Using integration by parts, Then k is? (a)-1.5136 5²x² ²x³ cos (x²) dx = k - S²x - [*x…

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Q: Find the transition points. y = 4x7 - 56x6 (Use symbolic notation and fractions where needed. Give…

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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: Find the intercepts and the vertical asymptote of Enter the intercepts as points, (a, b). The…

A: To find the intercepts and the vertical asymptote of the following rational function.fx=x2-2x-3x-4

Q: 4. Evaluate the line integral along the path C given by x = 2t, y = 10t, where 0 ≤ t ≤ 1. (a)…

A: Both integral is solved.

Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. 3x²+4-4 (a) lim x2x² - X…

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Q: A projectile is fired vertically upward with an initial velocity of 210 m/sec from a point 2 m above…

A: topic- algebra

Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, —12t) (c) Determine the…

A: Here is the solution of the given problem.  To solve this problem we use simple concept of…

Q: q4

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Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

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Q: 2) Let f be continuous on [a, b], differentiable on (a, b) and positive (i.e., > 0) for all x ≤ (a,…

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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: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

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Q: Find the volume of the largest right circular cone that can be incribed in a sphere of radius 3. 3 y…

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Q: I the slope of the tangent line to the parametric curve X = 3 cos (t) y = 2 sin(t) ㅠ R 4 at the…

A: Given query is to find the slope of the tangent.

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

A: Solution: a) limx→0+sin xx1x2

Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 0 1 0…

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Q: Show that the function f(x, y) = e2x cos(3y) satisfies the partial differential equation 4f + fyr =…

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Q: dy Find the complete solution of 2e2¹ cosx- dx Note: [e"du=e" + C - sin² x = 0.

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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: -0.45|-2.8x - 4.06| 2.5

A: Here we have -0.45-2.8x-4.06-2.5

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

A: As we know from the Simpson's Rule: ∫abfxdx=∆x3fx0+4fx1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-2+4fxn-1+fxn…

Q: One of the correct steps to evaluate A sin²20d0 [² B cos 40d0 C) None Ⓒ//ww D do + sin²20d0 Ⓒ = [ √…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A: Volume of solid is evaluated using cylinderical shell method.

Q: 1. Consider the function f(x) = x6 - x³. a. Determine the absolute extremum using the First…

A: topic - application of derivatives

Q: An investment of $18,000 was growing at 6.5% compounded semi-annually. a. Calculate the accumulated…

A: In this question we have to find the following given Compound Interest.

Q: x² 1) Let f(x) (Figure 24). Verify the X 1 following: (a) f(0) is a local max and f(2) a local min.…

A: Since you have posted a question having multiple subpart part as per guidelines we can solve only…

Q: Q1: convert the the Integral - (x² + y²)dydx to

A: Use the relation between cartesian coordinates and polar coordinates

Q: Example 3 Find the centroid of the region bounded by y = x³, x = 2 and the x-axis.

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

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Q: Question Find the area A of the region that is bounded between the curve f(x) = 4 sin (4) g(x) = 4…

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Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: I am about 286.3505 feet away from the base of the tree.

Q: 2) Let f be continuous on [a, b], differentiable on (a, b) and positive (i.e., > 0) for all f'(c)…

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Q: Find the volume generated by revolving about the y-axis the area bounded by y2= x-2, y=x-4 Use shell…

A: Here we have to find the volume by using shell method.

Q: The most convenient way to evaluate A) True B False 2x-3 S- -dx is use Integration by Parts. x²-3x+5

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Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

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Q: A ball is thrown upward from the top of an 800 foot tower. It's height above ground, h, t seconds…

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Q: Find the area bounded by the curves y = x(x − 1)², y — axis, and the line y = 12.

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