Use trigonometric substitution if possible dx 3 х? (9x2 — 4)2

Q: Solve the initial value problem 8+ 3y = ne, e > 0, y(n) = -5. de

A:

Q: Use the second derivative test to find the location all local extrema in the interval for the…

A: We need to find local ma and min.

Q: 4. Determine the general equation of the plane containing the points P(1, -4, -5), Q(2,0, 13) andR 3…

A: Follow the procedure given below.

Q: Mountain officials want to know the length of a new ski lift from A to C, as shown in the figure…

A:

Q: Find the derivative of the following functions by applying “Delta Method". Show your complete…

A:

Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A:

Q: Vx2 – 4 dr lx x3

A:

Q: Show clear and detailed solutions. Given: Let A = (1,0, 2) and B = (6,–2, 3) Solve and calculate for…

A:

Q: CONVERGENT

A: We have to choose the correct option from the given options according to the given information

Q: 1. El radio de convergencia de la serie de potencias es (n+1)!

A:

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X00 X→ー0 f(x) = –3x*…

A: Given that       f(x) = -3x4 .

Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1) 1) Determine the unit vector…

A:

Q: FEEDBACK MORE INSTRUCTION SUBMIT

A:

Q: A radioactive substance decays according to A=A0e^−0.0037t, where A0 is the initial amount and t is…

A:

Q: Debra is on vacation at a tropical bay that has three islands. She rents a boat on Island A and…

A:

Q: dy (3+x²) +2xy = (3+x²)x² dx (a) Solve the differential equation. (b) Find the particular solution…

A:

Q: A. Bisection method 1. Consider finding the root of f(x) =x - 3. Let ɛstep = 0.01, ɛabs = 0.01 and…

A:

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y?, (6,…

A:

Q: QS. Find if y = vcos x- 7*

A:

Q: 1 xy Let f (x,y) =In . Then f (1. – 1)=..... 3x²+4y3 XX

A:

Q: Given the power series 2 2n A x(n + 3) n = 0 Use the technique that we covered in this unit to Shift…

A: To shift the index of the power series use the substitution n = R - 3

Q: Find all solutions of cos (z2) = %3D (Leave your answers in exact form and enter them as a…

A: Solution of cos(x)=cos(y) isx=2kπ±y

Q: 2. An oil well produces 70, 000 barrels of oil on day one. Production is decreasing by 10% a day. a)…

A:

Q: Find the area enclosed by the curves y = y = 2 1– 9x2 (A B © i- 3. 2π

A: The area enclosed by the curves,y=11-9x2 and y=2

Q: 32 2 The series 3 8 + 33.3 128 is equal to ..(Correct to 3 decimal places) +... ..... 35.5 37.7

A:

Q: /3 In (x+ 1) e series representing the integral -dr is given by A. (-1)"+1 n=1 3" (n+ 1)2 В. (-1)"+1…

A:

Q: x²– y² )² Consider the function f (x.y) =| x²+y², Which ONE of the following statements is TRUE? O…

A: We will find limit at (0,0).

Q: mit Comparison Test. a conceptual problem that will help us determine when the limit con e value of…

A: We have to find the following conditions according to the given information

Q: Determine the third degree Maclaurin polynomial of f(x) = tan 3x. Use this to approximate the…

A: We need to find approximation by using Maclaurin series.

Q: Solve the given initial-value problem. dx x = 6y2, x(9) = 1 y - dy x(y) = Give the largest interval…

A:

Q: 5. v(t) = t2 – t – 12 is the given velocity function in feet per second for a particle moving along…

A:

Q: Consider the power series 2x – 1)" V4n +1 - n=0 a. Show that the series is conditionally convergent…

A:

Q: Question Using Rolle's theorem for the following function, find all values c in the given interval…

A: f(x) =2x3+452x2+21x-2Since f(x) is a polynomialIt is continuous on -4,2It is differentiable on…

Q: f

A:

Q: (1– 2n²)* n2n n=1

A:

Q: 6. (edited) Paper Packaging and Artwork Philippines, a paper manufacturing company, makes…

A: The base of the rectangular box is square.suppose, the base dimensions are (x)×(x)The cutout length…

Q: Find the derivative of the following functions by applying "Delta Metho Show your complete solution.…

A:

Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z = 2…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: A tank contains 180 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram…

A: Let the amount of salt in grams at time t be A(t)We have given the initial amount of salt in grams…

Q: f cxsy) Xy R:oSメ か %3D

A: 1.

Q: Evaluate the line integral. 17y dx + 16z dy +xdz, r(t) = (2+r',2,P) for 0 <t<1 (Give an exact…

A:

Q: Find the arc length of the parametric curve. = 14 cos(t), y = 14 sin(t), z = 48t; 0<t <T

A:

Q: 13 4. Consider the function f(x)% = for a 2 (a) Draw a graph of this function on the interval [0,…

A:

Q: This exercise uses the population growth model. The population of California was 29.76 million in…

A:

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A:

Q: Determine whether the integral is improper (x = 4) -'dx A Not improper B Improper

A: Both limits are finite and function is define at given limits. So, it is proper intrgral.

Q: Question Use the first derivative test to find the location of all local extrema in the interval…

A: f(x)=-2(4x-5)e4xConsider…

Q: Approximating the sum of an alternating series. If the alternating series (-1)"+'b satisfies the…

A:

Q: Determine whether the planes are parallel, perpendicular, or neither. Зх — 18у — 15г - 2 %3D 0 (a)…

A: Given:   Equations is given

Q: Evaluate the following integrals. x³ + 4x² – 2 dx x² (x² + 2x + 2)

A: