S 2x(ex²+1 – 2x*) dx

Q: 6. Given i [2, – 5]and i [- 7,2] find %3D а. 5 - b. i C.

A:

Q: The shaded region shown below is bounded by the functions f(x)=−x2+10f(x)=−x2+10 and…

A:

Q: A particle moves in the xy plane so that at any time –2 <t< 2, x = 3 sin t and y =t – 4 cost + 1.…

A:

Q: 18 of 19 50 where T<0< 4r as shown in the diagram A rubber ball is being spun in a outward spiral in…

A: Let's find.

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

A: Use area concept of integral

Q: Region bounded by y = x* +2, y = x+4 rotated about the x-aKis 2.

A:

Q: cos x + sin² x + 1 dx cos² x (sin² x + 1)

A:

Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

Q: Evaluate the integral (Partial Fraction Decomposition) xdx J (x² + 2)(x² + 1)2

A: ∫xdx(x2+2)(x2+1)2Substitute u=x22→dudx=x→dx=1xdu=12∫1(u+1)(2u+1)2duPerform partial fraction…

Q: Evaluate the indefinite integral. 9x xp- x² – 4

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Q: A ball is thrown vertically upward from a point 112 ft above the ground with an initial velocity of…

A:

Q: 2. [Growth of a tumor] When the radius of a spherical tumor is 6 mm, it is growing at a rate of 0.1…

A: To determine how fast the volume is changing.

Q: Use the method of cylindrical shells to find the volume of the solid generated by revolving the…

A: We have to find the volume of the given solid.

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

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Q: Зх + 108 dx х2 + 2х — 48

A:

Q: 9. Suppose that the demand equation for a monopolist is p = 100 – 0.01.x and the cost function is…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A particle is moving with acceleration = 6t + 12. its position at time t = 0 is a(t) s(0) = 5 and…

A: First use the integration to find the velocity then again integrate to get the position function.

Q: Let v=5i+2j. Find a vector that is twice the length and points in the opposite direction as v.

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: We can solve this as follows:

Q: What is the slope of the tangent to the curve y=arctan 4x at x= 1/4 A. -2 B. 0 C. 1/2 D. 2…

A: To find the slope of tangent to the given curve.

Q: 8. Find i • i 55° lū| = 7| = 31

A:

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: Draw the region and use the washer method of finding the volume of revolution of solids.

Q: Find the indefinite integral and check the result by differentiation. (e5+ sec e) de

A:

Q: тх sin nx dx

A:

Q: A firm estimates that it will sell N advertising, where dollars. Use the derivative to find the…

A:

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: Use derivative for finding the equation of tangent line.

Q: 5. Given y=af(1 Find when =1 if f(2) = tand f(2) = 5.

A: Topic = Derivative

Q: 3 |а2 — За + 2) da 2

A:

Q: 486 on the interval [8, 20]. Find the absolute extrema for the function on the given interval.…

A:

Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: 2. Solve for x the equation sin1 3x - cos1 2x = 6

A:

Q: A problem or equation of the tangent line to a curve at the point (1,3) is y = x+2. If at any point…

A: Let's find.

Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

A:

Q: 00 Σ 2 ni(6x – 1)" n = 1 R = Find the interval, I, of convergence of the series. 1. OI = 1%3{1} O I=…

A: Series

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/d-definition of the derivative to prove that f(2) = 9.

A:

Q: L 4e3-1 dr = 7.96 x 10 True O False

A: To determine whether the given statement is true or false.

Q: If f(x)=-(x -4), find (a) The x-intercept and the y-intercept (b) The interval where the function is…

A: The given function f(x)=-x2-43

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decinal places when…

A:

Q: valuate the integral 3t3 (t2 + 4)5 dt

A: Given problem:- ∫ 3t3(t2+4)5 dt

Q: Find: d/dt (xe^x)

A:

Q: 10. The total cost, in dollars, of producing x units of a certain product is given by C (x) = 8x +…

A: The total cost, in dollars, of producing x units of a certain product is given byCx=8x+20+x3100and…

Q: After we review on how to solve system of linear equations using algebraic methods (substitution,…

A:

Q: x + 4 dx x² + 2x + 5

A: ∫x+4x2+2x+5dxx+1 is a scalable factor of x2+2x+5, so divide x+4 by x+1=∫x+1x2+2x+5dx+∫3x2+2x+5dx

Q: Calculate the iterated integral. 6. x/2 (y + y2 cos(x)) dx dy Need Help? Read It Watch It

A:

Q: Write the equation of the hyperbola with centre at (4, 2), vertex at (4, 5), one asymptote with…

A: To write the equation of the hyperbola with center at 4, 2, vertex at 4, 5, one asymptote with…

Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 1)²

A:

Q: 1. Lets say Q(x) = 5x + 2 P(x) = 3x2 - 5x +1 Find (a) Q (-3) (b) P(5) (c) 5P(x) – 20(x) (d)…

A: Let's find.

Q: Arc Length With Vector Functions For problems 1 & 2 determine the length of the vector function on…

A: Since you have posted multiple questions which are not interlinked i can do first question as per…

Q: 3. Compute f (x)dx f(x) = { 2x if x <1 4 if x 21

A: Given: fx=2x if x&lt;14  if x≥1 And I=∫04fxdx The Power rule: ∫xndx=xn+1n+1+C

Q: Se2x sec?e2x Vtan e2x + 2 dx

A: