S (x + 7)dx 15x²+x-2 A. In 2 (3x-1)3 (5x+2) +C B. In 3 (3x-1)2 (5x+2)3| +C C. ln (3x-1)³ || (5x+2)3 +C D. In (3x-1)3 |(5x+2)| +C

Q: 4. Use a sine function to describe the height of the tides of the ocean if high tide raises the…

A: The high tide of the ocean raises the water level to 5 m at noon and low tide drops it down to 1 m…

Q: dy dx -5y=-tr, 5y = ³ 2 y(1)=1

A: The given differential equation is  dy/dx -5y= -5/2 xy3 , y(1)=1

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

A:

Q: Graph the function by setting the x-intercept and the asymptotes. f(x)= I 4 (x − 3)(x − 1)

A: Given, y = x-4(x-3)(x-1)

Q: Let R be the region in the fourth quadrant bounded below by the parabola y=x²-3 and above by the…

A: Use double integral

Q: If the work required to stretch a spring 2 ft beyond its natural length is 12 ft-lb, how much work…

A:

Q: 3. A wheel has a diameter of 70 cm and completes a revolution in 0.25 seconds at top speed. a.…

A: Angular velocity= θ/t , θ= 2π×number of revolution per unit time  Linear velocity= radius× angular…

Q: Consider the following. (The graph is called a Witch of Agnesi.) y Find the derivative of the…

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: 6.0 and a are each acute angles in standard 12 13 position. sin0 = and cosa = 3 5 a. Determine cos(a…

A: We need to determine given angles.

Q: At 6:00 am airplane #1 has an elevation of 25400 ft and is descending at the rate of 250 ft/min. At…

A:

Q: 1. (a) First find the following indefinite integral A. e666 B. 2e667 (e - 1) e√x+666 [= √x dx = (b)…

A:

Q: ○ If f(t) = 2 - 9t cos t " find f'(0).

A:

Q: Evaluate the following integral or show that it is divergent. 0 -√x VX dx

A: Explanation of the answer is as follows

Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

A: Topic - Extremas of the function

Q: Which recursive sequence would produce the sequence 7, -30, 155, ...? a1 = 7 and an a₁ = 7 and an O…

A: Given :Sequence : 7, -30, 155, ...

Q: what theorem was used? i cant read it.

A: Let's solve.

Q: Evaluate the following integral: LLC (2x+4y)dydx

A: Evaluate the integral.

Q: 5. The height of a chair on a Ferris wheel is described by the function h(t) 15cos(t − 4) + 18 where…

A: Let's find possible height of ferris wheel.

Q: 56. Solve the integral of (x + 2y)dxdy with respect to x from x=y and x = y^2 and with respect to y…

A:

Q: Step 3 At x = 4 + Δx, the value of the function is g(4 + Δx) = 20 – Hence, Step 4 m = lim Δx=0…

A: Here we have to find the limit in step 4.

Q: b. dP = √Pt, P(1) = 2 dt

A:

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

A: ft=t,0≤t<70,t≥7

Q: Evaluate : L {15} = Blank 1

A:

Q: Find points of intersection of the graphs algebraically.

A: This question is related to intersection of graphs, we will solve it using given information.

Q: dy Find the complete solution of 2 + 4y = 1 dx

A:

Q: Let R be the region in the plane bounded below by the parabola y = x² above by the line y = 2x. Then…

A: Use application of integral for finding the area of curve between two curves.

Q: Find the complete solution of d dt 5t Vs

A:

Q: A tank initially holds 50 gal of a brine solution containing 2 Ib of salt. At t = 0 another brine…

A: Given data:- Volume of brine solution, Vo=50 gal Containing salt, a=2 At t=0 any Brine solution…

Q: Use the given graph of the function f to find the following values for f-¹. 1. f-¹(-4)= 2. f¹(-3) =…

A:

Q: lim x 1 lim -x 1-x

A: topic:- calculus

Q: Prob. 6 (a) 3) Find the critical numbers of the function y = x³/2 - 4x¹/2 3

A:

Q: OA. x=0 and x = 3 OB. x=0 OC. x=3 OD. There are no points where the function is discontinuous.

A: Follow the procedure given below.

Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

A: a. Given that, the function is fx=e-10x. Note that, the Taylor series expansion for the function fx…

Q: tan(x) 5. Compute the limit for lim x-0 sin(x) , and show by hand how MAPLE obtain the results.

A:

Q: Evaluate the following integral: 2x 3xy SS²*13 (2y)dzdydx x

A: A detailed solution is given below       We know that ∫xn dx =  xn+1n+1

Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =…

A:

Q: 3 x - 2x x-1 dx

A:

Q: 2. Find the area enclosed by T = @ cos 30-

A: We need to find area.

Q: 2 3/2 (4-x2) x2dx

A: The given integral is (4-x2)3/2x2, limit from 0 to 2.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: i) f si sin 3x cos 3x dx ii) [ cos³x dx

A:

Q: 0 ( -1 tan x du Q\ find dy if (xay sinx=(√√ au) - y² cosi'x

A: Given data:- x-ysinx=∫x2tan-1xdu1-u-y2cos-1x

Q: 9) Write an algebraic expression for the following cos(arctan 2x)

A:

Q: Let f(x, y) O a) 64 / 27 Ob) 64 / 125 Oc) 27/125 d) 27/64 =X x√√x² - y². Then f(5, 4) = Oe) 125 / 64…

A:

Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . .…

A:

Q: Using the Limit Comparison Test with the geometric series -17, to 8 67 determine if the series given…

A: Limit comparison test -  If we have two series ∑n=1∞an and ∑n=1∞ bn and limn→∞(an/bn) is finite and…

Q: 1 cosa + sin æ sin y = sin 3y (³) COS (2) for all az and y such that x + y = 2

A: Given: LHS:            12cos x+sin x sin y=12cosπ2-y+sinπ2-ysiny=12siny+cosysiny=sin2y+siny2=122…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) =…

A: