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

Q: dx (apply the properties on how to solve improper integrals 1 – x²

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

Q: The integral of t²In t with respect to t is; 13 A -(3ln t – 1) + C B none of the given choices -(31n...

A: Follow next step

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: the plece wises f uc tion below Find fon the L,じ,ondL asxtO of sinx = (x7f ex-1 %3D *ンo

A: Given query is to find the limit of the function at x= 0.

Q: 6. S sin2xdr sin'r-4

A: We will use partial fraction to solve th integration after substitution. Which is as follows 

Q: An object moves along a horizontal coordinate line such that its directed distance from the origin a...

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Q: Evaluate thne integr sec3xdx A 3ln sec3x+ tan3x +C In sec3x + tan3x +C C =In sec3x- tan3x + C In sec...

A: Solve the integration

Q: dy т3 + 6х + 8 Find if y dx x2 4 dy 3x2 + 6 x4 18x? 16х — 24 - | dx 2x (x² – 4)? - || ||

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Q: A rectangular box is to be made from a square piece of cardboard of side length 10 inches by cutting...

A: We need to determine dimension of box.

Q: 9 dx dy y² 0. 2

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Q: A force of 3 N will stretch a rubber band 2 cm (0.02 m). Assuming that Hooke's law applies, how far ...

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Q: (7x³ + 4x²)dx

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Q: 00 e-2y dy

A: Given query is to eveluate the integral.

Q: proximation at z = 0 to sin(4r) is A + Bx where A is:

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Q: Assume that the following relationship is known to be true for two angles A and B: sin A cos B - cos...

A: The given relationship,     sinA cosB-cosA sinB=0.133599

Q: Find the approximate surface area of a sphere of radius 3.02 in. (Use differentials)

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 1+ is...

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Q: The coefficient of sin ( 2x) in the antiderivative of

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Q: Evaluate the Integral / tanh (u) du .

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Q: The integral expression: | Ocos20 d0 can be evaluated by parts of the form: udv vdu . =uv – The prod...

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Q: 6.) Find the derivative of the following functions a.) f(x)=- 7-3х |t +1 b.) f(x)=. -1 c.) f(x)= ean...

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Q: Use differentials to approximate v25.5 .

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Q: The figure below shows various gradient vectors of a function f. Determine whether each of the follo...

A: (a) False Consider the gradient vector at (-2,2) Given: ∇f(-2,2) = -4i + 3j This is false because at...

Q: 4. (x – y)2 = x + y - 1 5. 2/xy = 3 6. x+y *+ = x x-y 7. xe" = In y

A: According to our guidelines, we can answer only three subparts of a question.kindly repost other que...

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

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Q: Let f(x) = (2x + 4)/(5x + 2) . Find the equations of the horizontal and vertical asymptotes of y = f...

A: Given:      f(x) = (2x + 4)/(5x + 2) 

Q: A solid lies between planes perpendicular to the x-axis at x= -5 and x= 5. The cross-sections perpen...

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Q: (2+vx)² X dx Vx

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Q: d?s sin 3t + cos 3t dt2

A: Explanation of the answer is as follows

Q: Which of the following vectors are equal to (2, 2/2, -2)? Check all that applies. vector with magnit...

A: We have to find equivalent vector.

Q: Find the integral. S 12:3 k dx x9/2 + C B x9/2 + C x9/2 + C 24 x9/2 + C A,

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Q: S(-P +2u + uP)du No appropriate Match Scot*(x)csc°(x)dx o f-u-2u7 -)du

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Q: Suppose that f(x, y) and the region D is given by {(r, y) | 1 < # < 2,1 < y < 4}. D Then the double ...

A: ∫∫D f(x,y) dx dy = ∫y1y2∫x1x2 f(x,y) dx dy

Q: the integral expression on the left to an equal expression on the right. (cos(x)-cos(7x))dx ots Subm...

A: We will solve the integral. 

Q: Let c be a real number and v a vector. Which of the following represents the relation between the ma...

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Q: cot5 z csc³ zdz z csc

A: Given :∫cot5z csc3z dz

Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector B – 2A. Sketch...

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Q: 4 ry sin (x? + y*)dxdy Find

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Q: The coefficient of sin(2x) t F(x) =(cos() is Blank 1 (use fraction form not decimal no space) in the...

A: To determine the coefficient of sin2x in the antiderivative of Fx=cosx26.  

Q: Find the integral. In 8x dx

A: I=∫ ln 8xx dxln 8x =t18x(8) dx = dtdxx =dt

Q: Find the volume of the solid generated by revolving the area bounded by x – y? + 4y – 4 = 0 and x – ...

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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: Evaluate the integral S 2x (x² + 6)*“ dx using the substitution 16 u = x2 + 6. 16 2x (x² + 6) “ dx +...

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Q: 1. sin

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Q: A radioactive substance has a half-life of 29 years. What percent remains 80 years after being to it...

A: We will find the remains after 80 years in percentage. 

Q: 1 dx (2x + 1)4

A: We will use concept of improper integral here. 

Q: Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter y...

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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 area of the surface generated by revolving the given curve about the y-axis. I = 5y + 5, 0 ...

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Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the...

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