f(x) = x² + 5x - 1

Q: 19

A: We will solve the problem

Q: Given the vector function r(t) = (+1, 1-2t², 8t-4), find the are length of this curve on the…

A:

Q: Find the area bounded by the curves -x + y² = 8, x = -2y and y = -2.

A:

Q: Integrate the following: 1. f xdx x²-x+1

A: The given integral is x/(x2-x+1). Repost the next question.

Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…

Q: Determine the equation of one of the curves for dy/dx = 4x which passes through the point (2, 3).…

A: We need to find a curve for dydx=4x which passes through 2,3.

Q: Find the derivative of f(x) = ✔ (6x¹ + x² − 1) 5.

A:

Q: ydx-xdy + xydy = 0

A: To solve the given ordinary differential equation problem.

Q: x-5 X-3+x-3' 31. Determine the lim A. 0 B. -00 C. +∞ D. does not exist

A:

Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y=-2 about the…

A:

Q: z = xey + y ex

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

Q: For the following exercises, find aj dt and direct substitution. 225. f(x, y) = ln(x + y), x=e¹, y =…

A: Given;  f(x,y)=ln(x+y), x=et, y=et.

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 S₁° 19 dx…

A:

Q: 3. The region bounded by the curve y=sec x, the x axis, the y axis and the line x=0.25pi is revolved…

A:

Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

A:

Q: Determine if the function f (x, y) = if (x, y) = (0,0) is continuous at (x, y) = (0,0). If not,…

A: Use limit to find wheather function is continuous or discontinuous.

Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y³)źdy

A: SOLUTION-

Q: Find the volume of the solid generated when the region ? bounded by the given curves is revolved…

A:

Q: 18. A radioactive substance decays exponentially: The mass at time is m (t) = m (0) ekt, where m(0)…

A: Concept: Mean life of a radioactive substance: The average life of all of the nuclei of a positive…

Q: 14. For the series Σn=1 (-1)" 3n0.3+8 S4= Include 4 decimals in your answer. Now find a bound for…

A:

Q: S² z²√√(-z² + 1)5 dz

A: To find the value of the given integral.

Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

A:

Q: d dx A.sinh(Inx) B.–sinh(Inx) sinh(Inx) C.- X -cosh(x) D. X cosh (Inx) =

A:

Q: 2π 3 [³* sin(y) + sec² (y) dy

A: We have to evaluate the given integral.

Q: 2 b3 3 dy

A: Let's solve given integral.

Q: 6. If y = 3√x, then what is y'? A. y' = C. y' = ¹ x 3 x3 B. y' = 1/2 D. y' = ¹/2/2 x3 x 3 7. Which…

A:

Q: Find the general solution to the differential equation dy/dx=x^2/y+3.

A:

Q: Solve each of the following equations, showing all work. a = log₂z (4x²) -4 = log t

A:

Q: Determine wether the sequence converges, or diverges. If it Converges, S(2n-1)! 2(2n+1)!S

A: We have to find sequence converge or diverge..

Q: f(x)-f(a) a. Use the definition mtan = lim x-a x-a b. Determine an equation of the tangent line at…

A:

Q: dy Find by implicit differentiation, given that x²y – 2y6 = =-5. Your answer could involve both dx x…

A:

Q: Determine the x- and y-intercepts for the given function. B(x)=5x+8

A:

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1) b) has…

A: vector equation of line

Q: Show that the three functions: f₁(x) = ex-8f₂(x) = exf3(x) = 4(2x-2) are linearly dependent.

A:

Q: 156. Find the area of the region D, bounded by y = √4x², x= √3, which is the region x=2, and y = 0.

A:

Q: A product can be produced at a total cost of C(x) = 500 + 100x² + x³ dollars, where x is the number…

A: Solved below.

Q: Let line l : x=y/2=z/3 and point P(1,0,1). Find an equation of the plane (in point-normal form)…

A: Solution of given question is written in below steps.

Q: -5x² +11x+2 x(x+1)² dx 2ln|x| +3 In|x +1| + + + C x+1 Option 1 2ln|x| +3 In|x +1| +++ C Option 3…

A:

Q: ds Find the complete solution of = 8t³ √s. dt

A:

Q: B. m(x) = D. h(x) = x+2 x²-4 28. What is the removable discontinuity of x²-4 the function f(x) : = ?…

A:

Q: 2 2 2 Find the moment of inertia: x3 + y3 = a3 about x = = 0.

A: Let's find moment of intertia.

Q: to determine the instantaneous rate of change c Use f(x+0.0001)-f(x) 0.0001 f(x) = 5x² - 7x ata = 2,…

A:

Q: Find the area bounded by the parabolas (x - 2)² - 9py = 0 and y² = 9p(x - 2).

A:

Q: 3. Let 7 and w be vectors such that v=(2, 2, -1), |||| = √2, vw=-3, and × = (2,-1, 2). a. If u =…

A: Key points: We say that 2 vectors are orthogonal if they are perpendicular to each other. If two…

Q: & 38. Evaluate: √x dx A. x4/3 + C 3 4 C. ³x5/3+C B. x³/4 + C D.x3/5 + C 39. Evaluate: fx(4x - 3)dx…

A:

Q: Calculate the average rate of change for the function f(x) = − x² + 3x + 4 intencal-1<x<3

A: We can find the average rate of change as below

Q: 43. Evaluate: S(2ex - 4x) dx A. 2e*4* + C B. -2ex + 4x + C 4x C. 2ex + C In 4 4x D. 2e* + + C In 4…

A:

Q: 5. Determine vector and parametric equations of the plane that... a) has the scalar equation 2x-y+…

A:

Q: 1. Vector A is the same as: (Circle ALL that apply) A a. B+C b. D-B B C. D+C D d. (D-C)

A:

Q: Solve for the variable using a method of your choice. 72+7+72+6 7x+6= 8

A: The detailed solution is given below Thank you