Find the area: y = sin x, the x-axis, the y-axis and the vertical line x = 2 *

Q: Evaluate the surface integral. xyz ds, S is the cone with parametric equations x = u cos(v), y = u…

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Q: 'n = 1 n (- 1) "xη Σ 'n = 1 n2 8. 8.

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Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y…

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Q: dx Using Trigonometric Substitution - f(e) - find (x² + x + 1) 2 4 3 sec e O 3 sec? e 4 4 3 sec? e O…

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Q: dx Using Trigonometric Substitution find f(e) - 3 (x² + x + 1)7 3 sec e 4 4 3 sec? e O 3 sec? e 4 4…

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Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

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Q: xy dx + e* dy = 0 er?

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Q: Find the point on the line y = 5x + 2 that is closest to the origin. (x, y) = Need Help? Read It…

A: Let's find.

Q: Consider the indefinite integral dr: a) This can be transformed into a basic integral by letting and…

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Find the area of the surface. the part of the surface z = xy that lies within the cylinder x? + y² =…

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Q: dx 4 -sin e+C Using Trigonometric Substitution - = , express the answer in terms of x. (x² + x + 1)…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2 If the point (9, 3) is on the…

A: Given that the slope of the tangent line at any point (x,y) on a curve is 2x. So, dydx=2x=2(x12)

Q: Find the derivative of the function. f(x)= 10Vx- 6e*

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Q: A continuous function y f(x) is known to be negative at x = 2 and positive at x=7. Why does the…

A: Given that f(x) is a continuous function.

Q: Evaluate the definite integral. O el4 – 1 i+ (e- – 1) j+; 14 O el4 1 i- ej+ k 14 2 (e4 – 1) i – (e-…

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Q: Find all values of A E C such that A(1+2i, 5+4i) = (3+2i, 6-1)

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Q: /x²+4x – 5 dx Using trigonometric substitution, ƒ (8) dô. x+2 Find the new limits of integration.…

A: Given:        ∫14x2+4x-5x+2dx=∫abfθ dθ         =∫14x+22-9x+2 dx      Apply u-substitution.…

Q: find the inverse laplace transform

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Q: Find the area bounded by y = x+ 4 and y = x2 - 2. Answer:

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Q: 3. x2 + 2ху + 3y?

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Q: 4x3 + 4x? – 2x + 4 dx - (x² + 1)?

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Q: 1. 4x dy – y dx = x²dy %3D

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Q: Find the saddle point/s of the function f(x,y) = x + y² +x²y+4 O a. (E ,-1) & (- 2 -1) O b.(4,0) &…

A: Let's find.

Q: x² + x – 2 (3x – 1)(x² + 1)

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Q: ind the area and the circumference of a circle with diameter 6 m. Ise the value 3.14 for a, and do…

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Q: Consider the following. 1 f(x) = 2x – 4 x2 y 4 3 y=2 x – 4 2 1 X 8 (a) Write the integral that…

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Q: _14. Suppose that a function f: R² → R and its partial derivatives up to the third orders are…

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Q: g(t) = 2t3 + 3t² – 12t %3D Find the intervals where g(t) is increasing and the intervals where g(t)…

A: Given: gt=2t3+3t2-12t   (a). To calculate the interval for increasing function, g't>0

Q: Determine the general equation of the plane Ω passing through the point P(1, -4, -5) and parallel to…

A: Given: 2x+4y-z=0 Normal vector of the given plane will be 2, 4, -1

Q: Find the first partial derivatives of 2х — 4у - f(x, y) = at the point (x, y) = (2,2). 2х + 4y af…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: The polar equation r = a+a cos 8, where a > 0, has a tangent line at (0, 7)

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Q: (x In 2x dx = u v- Jv du -Svdu- Using Integration By Parts, Fand uv- fvds uv- Jvau 3 3 xVX In 2x-V지…

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Q: 4 x² + 4x - 5 Consider using Trigonometric Substitution find x . x +2 sec e O 3 sec e O -2+ sec e O…

A: We have to choose the correct option from the given options according to the given information

Q: Compute the following values for the given function. f(x, y) = 8xye(x2 + y2) f(0, 0) f(0, 1) f(1, 1)…

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Q: After watching the Section 9.10 vidco, solve the following problen. Make sure that you show all…

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Q: In polar coordinate system, which of the following does not refer to the point (3, pi/6)?    A. (3,…

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Q: Consider the indefinite integral (22 da: (z – 2)* 3)2 This can be transformed into a basic integral…

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Q: A bacteria culture grows with constant relative growth rate. The bacteria count was 2,560 after 4…

A: answer in next step

Q: Integration by Parts Example 4. Evaluate In x dv,

A: The given integral is: I=∫lnxdx   As we know that; ddxlnx=1x

Q: Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,…

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Q: Using Integration By Parts, dx =uv- v du v-Svau Find 6 x2 e dx 1 dx x3 dx - °3 x? e* - хе dx

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Q: .3 onsider the indefinite integral a - Va + 9 dr: This can be transformed into a basic integral by…

A: Given query is to transform the integral in u and du format.

Q: |(x+3)°(x+b)d dx is In 3x2 +8x– 12 The resulting integral of + C, where a, b, d, and e are integers.…

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Q: A doll-manufacturing company wishes to create a display box with a square base and open front side.…

A: Let's find.

Q: Express the limit as a definite integral on the given interval. 5 V 3x; + (x;) Ax, [2, 3] * lim n →…

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

A: Follow the procedure given below.

Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to…

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Q: Find the average rate of change of the function over the given interval. R(0) = 40 +1; [6,12] AR…

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