integral

Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: Write an equation for the ellipse that has vertices (+7, 0) and co-vertices (0, ±6). Provide your…

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Q: The differential equation (xy2 + y)dy = (x+1)dx is separable. %3D

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Q: 6x – 10,a -1

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Q: The absolute value of the complex number [2 + sqrt (2) + pi] +j [e- sqrt (3) + 5] O 8.88 O 11.5 O…

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Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

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Q: t cos t?dt can best be evaluated by: A Power Formula B) None (c) Trigonometric Transformation D…

A: We have to find out

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: see below the answer and explanation

Q: Evaluate the line integral g. y³ dx – x²dy, where C is the positively oriented circle of radius 2…

A: Solved below.

Q: du u and dx du Identify u and dx du u" dx Finding for the integral dx.

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Q: 8. Find the volume of the solid generated by revolving the shaded region about x-axis. 10+y 9- y = -…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: 7. Sketch the region of integration, and evaluate the integral. 22л г JI * zdz d0 dr 0 л 0

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Q: 3. Find the area of one of the sine curve.

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Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

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Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo.

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Q: Find the arc length L of the graph of r(t). r() = r° i + 1 j+Vor k, 3 <t<7 L = i

A: Given problem:-

Q: 9+ 5+ g(x) 8 4 7- 6- h(x) 3 5 4 3 1 5 4 5 2 3 x-values 4 2 3 x-values If f(x) = g(x) · h(x), then…

A: Solve the following

Q: teimx dx xF I+ x²

A: Given query is to find the integral.

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx x²V4-x2

A: The given integral is 1/[x2 sqrt(4-x2)].

Q: x = -3x1 – 2x2 x2 = 9x1 + 3x2 %3D

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Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 1 + 8 1 + +... p =…

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Q: Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations.…

A: Given :

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y = 9 and…

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Q: You record the temperature every hour from midnight until 8:00a.m. You see that the temperatures (in…

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Q: Solve the following differential equations of 1 x’y" – 2xy' – 4y =

A: To find the solution of given differential equation.

Q: The equation of the tangent line and the normal line to y = x² – 4x +

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Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: Given problem:- Locate the critical points of the following function. Then use the Second Derivative…

Q: Use the function f and the given real number a to find (f ¯-)'(a). (Hint: See Example 5. If an…

A: Given:      f(x) = ( x+7) / (x+2)

Q: An iceberg travels due South at 15 km/h in a fast Labrador Current. A passenger ship, 50 km to the…

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Q: ..... .... .............. ............... The values y (in billions of dollars) of U.S. currency in…

A: topic- inequality

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. n5 +…

A: Use alternating series test for checking the convergence of series .

Q: Given a = 3 units, = 1 unit and the angle between a and b is 30°, determine o) the exact value of (…

A: Solution:

Q: Use a change of variables or the table to evaluate the following definite integral. 10 e 2X dx 2x…

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: We have to find the inflection point and the concavity and convexity of the curve

Q: Evaluate the integral. dx (x – 4)(x – 7) - (Use symbolic notation and fractions where needed. Use C…

A: Solving the problem by finding the value of integral.

Q: x2 - 4x - 12 Find f'(x), f'"(x), and f8(x) for the function f(x) X+2 f'(x) = everywhere that f(x) is…

A: Given

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: an=n45nlimn→∞ an+1an=limn→∞ (n+1)4 5n5n+1 n4=limn→∞ (n+1)4 5nn4  5n 5

Q: S- x³dx is equivalent Vx²-4 Using trigonometric substitution,

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Q: nt P(p, 1), where p>0, lies on the curve x² + 2x ulate the yalur of n

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Q: Solve the following initial-valued problems. y'=(y/x)+2,   y(1)=3

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Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: . .............. Solve the exponential equation algebraically. Approximate the result to three…

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Q: (t) satisfies the following differential equation. P is measured in millions and t is in years

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Q: A company determines that its demand function is given by p(g) = - 0.7g + 547 and that its cost…

A: Given query is to find the quantity for maximum revenue.

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given

Q: Find a formula for the n" partial sum of the series 2 + + + + ... and use it to find the series' sum…

A: The solution is given below

Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c 3 1(1-x*) ? +E E

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