Evaluate the indefinite integral. 8 + x*dx + C

Q: Find the area (to three decimal places) bounded byf(x)=x^2e^x and q(x)=4-x^2

A: Given problem:- Find the area (to three decimal places) bounded byf(x)=x2 ex and q(x)=4-x2

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Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.02q + 5q 38 where q is…

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Q: Find the volume of the solid that results when the shaded region is 7 revolved about the indicated…

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Q: Find the area of the region inside the circle r = 12sinθ and outside the cardioid r = 4 + 4 sinθ.

A: Area

Q: Find the area of the region inside the circle r = 18sinθ and outside the cardioid r = 6 + 6 sinθ.

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Q: 4. Show that a b

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Q: x* – 1 f. lim x-1 x In x sin 3x g. lim x-0

A: (f). Given: limx→1xx-1xlnx   As we know that; The Chain rule: fgx'=f'gx·g'x

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: We need to evaluate integral using Green's theorem.

Q: 12. Find an equation for the tangent plane to the surface given by 2xy = 2z2 - ryz at the point…

A: Use tangent plane formula

Q: Find the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

Q: Consider the following functions. f(x) g(x) 8 sin x %3D = 8 cos 2x -

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Q: Determine the general solution to the vector differential equation r' = Ax with A = [2030-40 -30 2]…

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Q: Find the arc length of the parametric curve. x = 7 cos(t), y = 7 sin(t), z = 24t; 0<t< T L =

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Q: Use the arc length formula to find the length of the curve y = 3x - 5, -2 SxS 3. Check your answer…

A: This question is related to Functions and curves, we will solve it using given information.

Q: Sketch the region R whose area is given by the iterated integral. Ap xp 8- 7- 7 6- 6 5- 5- 4- 4 3-…

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Q: Determine which value best approximates the area of the region bounded by the graphs of f and g.…

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Q: Using Sandwich Theorem 3n2 + 1 an = (-1)" n³ – 4 converges to 0 O converges to -1 O none of them O…

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Q: Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the lines x = 0…

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Q: dz (е) dz

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Q: Find the arc length L of the graph of r(t). 1 .3 r(t) = i+t j+¬V61² k, 2 <153 L =

A: Solve the following

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Q: Using Long (Euclidean) division then decomposition into partial fractions x4 - 4x2 -x- 3 dx x2 - 2x…

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Q: Consider the expression: ey = 4x + y* , In which y is an implicit function of x , after derivation…

A: Given problem :- ey =4x+y4 , find y'

Q: 3. If f and are continuous functions with f(3) 4 and lim 2f(x)-9(r)3D5, what is g(3)?

A: To evaluate the value of the function

Q: Consider the following planes. 5x + 2y – z =22 X- 4y + 2z = 0 (a) Find the angle between the two…

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Q: Evaluate the line integral (4х + 5у)dx + (За — 6у)dy along the - curve C : x = 10 cos t, y = 20 sin…

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 5…

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Q: 3 4. 7 8. PO 723 1225.78 1853 246762942.68 3246.963419.05 3509.59 3555.42 The table is given by…

A: ------------------------------------------------------------- dPdt=Pa-bP1P1-baP·dP=a·dT…

Q: Find the relative maximum and minimum values and the saddle points. f(x.y) = 242y +x -xy

A: Using D=rt-s^2 If D &gt;0 and r&gt;0 then relative minima and r &lt;0 then relative maxima  And at…

Q: If the following function f(1)= are , for some non zero constant real numbers a and b a? equals 1662…

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Q: Use the Laws of Logarithms to rewrite the expression below in a form with no logarithm of a product,…

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Q: = -8i+ (1 – tj+tk O It is a parabola in the plane x = -8, with vertex at (-8, 1, 0), opening to the…

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Q: Current Attempt in Progress Express the iterated integral as an equivalent integr with the order of…

A: we have to change the order of integration.

Q: 3. dy Find if y 2xy - x: dx = cos X using implicit differentiat

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Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = t = 0 T(0) = N(0) =

A: Unit tangent and normal vector

Q: A businessman borrowed Php2,500,000 for 5 years at 5.5% simple interest. What amount must he pay at…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) dx…

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Q: In a recent Gallup poll, 1003 randomly selected adults in the United States were asked if they have…

A: This question is related to percentages, we will solve it using given information.

Q: Consider the equation 4y" + by' + cy = 0 the constants b,c,m,n are real and different from zero, the…

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Q: Evaluate JJ xy dA , where R is the region in ху ´(1, 3) (5, 3) R (2, 1) (4, 1) A) 56 в) 67 38 D) 90

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate the double integral over the rectangular region R. || xV16 – x*dA; R = {(x. y): 0 < x < 4,…

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Q: Evaluate JJ Xy dA, where R is the region in LA ... y = x? R 2 A) 13/7 B) 16/3 c) 18 D) 20

A: A detailed solution is given below

Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

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Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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