1a)Evaluate the double integral over the rectangular region R: ∫∫R 4xy^3 dA;R=(x,y) :−10≤ x ≤10,−8 ≤ y ≤ 8

Q: g(x) = 190 + 8x3 + x4 (a) Find the interval of increase. (Enter your answer in interval notation.) F...

A: Given g(x)=190+8x^3+x^4

Q: Find the most general antiderivative. A B D

A: Let's find. 

Q: 19) Find [sin( x9+ 9x) ]' = _by Chain Rule A) 9x8sin ( x9+ 9x) C) 9(x8+1) cos x 19) B) -9 x sin ( x9...

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

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Q: Match the integral expression on the left to an equal expression on the right. cos(7x))dx + cos( (x)...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: 1.a)Find the area of the surface generated by revolving the curve y=√(121-x^2), −1 ≤ x ≤ 1 about the...

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Q: A linear function is given. Complete parts (a)-(d). Ay 10- g(x) = - 3x + 4 8- 6- 4 (a) Determine the...

A: The equation y=mx+c represents a line, where m=slope and c=y-intercept.g(x)=-3x+4a) m=-3   slope is ...

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given data and correct graph÷

Q: За—11 dx - partial fractic 2x2-a-6

A: We will solve the problem using partial fraction. 

Q: Let ft)=F(t), where F (t) = 412– 5t²+ 5t¸ Evaluate the following integral using the Fundamental Theo...

A: As we know from the fundamental theorem of calculus; If F't=ft then, ∫abftdt=Ftab=Fb-Fa   From the g...

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per second...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: 2. Sketch the region whose area is given 25 by the definite integral Jo V25 – x² dx and then use a g...

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Q: (3x² + 1 +)d: x 2x2 (2+v) dx 2. 3. хсos(2x? + 7)dx 4. (7x³ + 4x²)dx 5. V1— сosxdx

A: Integration xn dx=xn+1 /n+1

Q: 4.) Find the derivative of the following functions a.) y = sin(x) + cos(x) b.) y = csc(x)cot(x) c.) ...

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Q: Consider the following. Rx) = x - x + 2, -1sxS1 Use technology to estimate the absolute maximum and ...

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Q: Excrcise (a) Find the Inverse function of r. Step 1 Consider the function. Find the Inverse function...

A: Follow the steps.

Q: d²y 5x2 + 1 dx2 1.

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Q: Adx + (x-y + 2)²dy = 0

A: As per bartleby guidelines we are supposed to answer only 1 question per post. This post contains 2 ...

Q: Find the exact arc length of the curve over the stated interval. y = 3x/2 - 2, from x = 0 to x = 1 %...

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Q: ,5x-2 If f(x) = 2 + e%r-2 %3D then f-'(3) = %3D

A: Topic = Functions

Q: 2x +7, a 7 conclusion. (i) f(7)= 14 (ii) lim f(x)= 21 (iii) lim f(x)-21 (iv) Justification Answer=

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Q: d²y The points (1,3) and (0,2) are on a curve, and at any point (x, y) on the curve, dx² 5 – 2x. Fin...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Let C be the graph of the equation In(3y – 2e") = sinh“(Tx) – tan(y – 1). | dy (a) Find dr (b) Find ...

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Q: Use finite approximations to estimate the area under the graph of the function f (X) = x³ between x ...

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Q: dy Use logarithmic differentiation to find given that dx c-'(yT) y = 4sech(5z) (log6 x)=`

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Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh )(tanh a+/Ð) + 2 csc-' (tan(y + 1))

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Q: The management of Porter Airlines finds that its monthly marginal revenue can be pproximated by R'(x...

A: Given query is to find the revenue function.

Q: Column A 1. xy = 2 3x²y – x = 5 3. 3y(y – 10) + 24x = 0 4. (x - y)? = x + y - 1 5. 2/xy = 3 x+y = X ...

A: We will use simple differentiation rules to solve this question.

Q: Find the arc length of the curve below on the given interval by integrating with respect to x. 1 : [...

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Q: e Wallis's Formulas to evaluate the integral. 'T/2 .3, cos xp (x),s

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Q: A trucking company transports goods between two cities that are 960 miles apart. The company charges...

A: Let's find. 

Q: A robot moves in the positive direction along a straight line so that after  minutes its distance is...

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Q: a | t. (a² – t²)®* dt 0.5

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Q: parachutist jumps out of a plane.  Her height, in metres, above the ground after t seconds is given ...

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Q: Evaluate the integral

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Q: Find the most general antiderivative. dy A В c) 8 +C D

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Q: -x' +10x? – 5x+15 dx Partial Fractions x’(x² +5)

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we ...

Q: Use a calculating utility, to approximate the polar coordinates of the points whose rectangular coor...

A: A)(x,y)=(3,4)r=x2+y2r=32+42r=25r=5θ=tan-1yxθ=tan-1(43)θ=53.13°B)(x,y)=(6,-8)r=x2+y2r=62+(-8)2r=100r=...

Q: Find the moment with respect to x 2a the area bounded by x y and x2 = 2ay.

A: Given area is bounded by x=y and x2=2ay.  To find: Moment with respect to x=2a.   From x=y We get th...

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

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Q: Consider the following. f(x) = 6x3 – 9x? – 108x (a) Find the intervals on which f is increasing or d...

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Q: PAGE 610 5. The base of a solid is the region bounded by the graphs 1 of y = Vx and y= (a) Find the ...

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Q: sgn (x + 3) if - x2 +9 - Vx² – 9 x 3

A: To solve the following problem

Q: n (x+1)] Evaluate the limit of the function f(x) = e of Values method. as x approaches 0 using Table

A: Solution is written in below steps.

Q: ,3.518) (542 n2

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Q: Question 15 Without any computation, find the values of sinx dr = Blank 1. Blank 1 Add your answer

A: As sin x is an odd function.

Q: S (5+x>(4 - x2) dx (A 20x B 20x 20x D

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