raluate the following definite integrals.

Q: Given / f(x)dx = -3 and / g(x)dx = 6 , evaluate (a) / ise) – 59(=)|dz 1 *(x) + (e) [ 15(4) – o(=) +…

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Q: Given the function graphed below, evaluate the definite integrals. 4+ 3 2 3. -1 -1 4 5 -2 -3 -4 |…

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Q: dy = 2 – y dx Find the correct direction field for the differential equation ノー\\ ババーと

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Q: The company can sell the item for $90,000 each. a) Write a cost function C(x) and a revenue function…

A: Given query is to find cost function, revenue function and profit function.

Q: Find the equation of the tangent line to the curve g(x) = 5x2 - 6x +2 at the point (1, 1).

A: Use equation of  tangent line

Q: 4- if U(x,y) = x2 + 2y and x(r, t) = r sint, y(r,t) = sin?t, au find 1- ar au and 2- at au 1- ar ди…

A: Given that,   U(x,y) = x2+2y   and x(r,t) = rsint,     y(r,t) =sin2t we have to find ∂u∂r,    ∂u∂t…

Q: 4. lim (sinx)tanx X0+

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Q: www 1D syppose that a sequence CanZ is definel by the envations az =2 cand anti = following is true…

A: Clearly,

Q: Find the general solution 2x'y - (2x + y) = 0

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Q: Find the solution of the linear System by esing Al; X, +2X2+3X3 - 5

A: The system of equation can be written as;Ax=BA=123253108 , x=x1x2x3 ,…

Q: Evaluate the expression. 14C11 O A. 182 В. 3003 О с. 2,184 O D. 364

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Q: Problem 3 Use the rules of differentiation to to find the derivatives of the function: (a) f(r)= 3rª…

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Q: If {(=)dz = f(x)dx f(x)dx + f(x)da f(x)dx, what are the bounds of integration for the first…

A: Solution:

Q: Find the volume of the ellipsoidal solid given by 4x² +4y² +z? = 16

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Q: A) S sin edo b)S sec edo )Side Ssec?eddo E)S cos ede

A: We have to find the integral

Q: x²+x dx x2+1

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Q: The eccentricities and foci of a hyperbola centered at the origin of the xy-plane are shown below.…

A: The eccentricity of the hyperbola centered at the origin of the xy-plane, e = 2 The coordinates of…

Q: Differentiate. 9. y e 10. y- e

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Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. S sin“…

A: To evaluate : ∫sin4⁡3xcos⁡3xdx Let I = ∫sin4⁡3xcos⁡3xdx Let sin3x = u Differentiating both sides we…

Q: Answer is incorrect

A: Apologies for the inconvenience. In the second last line there was a calculation mistake.

Q: am confused can you highlight answers please thank u

A: From the original solution the answers are: Intercept: 0, 0 Relative minimum: -5, -110 Relative…

Q: 10 10 f (x) dr=17 and | f (x) dr=12, then f (x) dr=5. A) True B) False

A: Given query is to find statement true or false.

Q: dx 2. o (x-1) 5

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal place…

A: Here, let the given function be: f(x)=x2+ex-9⇒f'(x)=2x+ex Next,…

Q: Solve the problem. Solve the differential equation model of a population growth: dP 0.5P. dt O P(t)…

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Q: + 3x² 4)dx

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

Q: dw dw Find ду at the point (w, x, y, z) = (75, – 1,2, – 3) if w = 3xy + 3yz- 3z° and x2 +y? +z? =…

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Q: d f'(3).

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Q: 14) f' (x) =(sin 3 x)'=, A) – 3(cot2 x) csc2x C) 3(tan2 x) sec2x By Power Rule B) – 3 sin2 x cos x…

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Q: Use a triple integral to find the volume of the solid shown in the figure. z = 16 – x2 - y2 130 10…

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Q: Solve the differential equation for general solution y' = 2x - xy; y = 5 when x = 0 %3D O y =…

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Q: e* dx V1-e2x

A: Topic = Integration

Q: -dx 23+1

A: Given :

Q: 3n4 Σ Consider the series > 6n4 + 2 n=1 Based on the Divergence Test, does this series Diverge?…

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Q: 4. dr 4-

A: Given: ∫02x34-x2dx

Q: Quèstion 1 The position vector of a particle is r(t). Find the requested vector. The acceleration at…

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Q: Use the Divergence Theorem to compute the net outward flux of the field F = (4x, y, - 2z) across the…

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Q: -dx is an improper integral. A True B) False

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Q: Solve the differential equation. dr sin 0- do +(cos 0)r = tan 0, 0<0<,

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Q: H.W (3) 1- find fxy fxx fyx fyy for f (x,y) = x2 +3xy- y*

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Q: 10 8 10 If f (x) dx=17 and f (x) dx=12, then f (x) dx =5. (A) True B) False

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Q: Find the derivative of the function f(x) = 9r( – 5x + 6z). %3D f'(x) =

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Q: dr 5. 1 r+3

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Q: 1. The resultant of two forces has a magnitude of 55 N in the southeast direction. What is the…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: cos*x _8. If S(cos x B) dx = - +C, what is the B? A. - sin x C. COs X В. D. cscx secx Which

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Follow the instructions. Typewritten for upvote. No upvote for handwritten. Thank you

A: We have to find the number

Q: Problem 3.4 Parameterize the following surface. Then, integrate the given function over the…

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Q: dr 2 Vr*+3

A: