At a seaport, the depth of the water during the day can be found using the equation h = 6.0 cos ( 27) + 14 27-8) 12.4 where h is the depth of water in feet and t is the number of hours after midnight. At 8:00 pm what will be the water's height? 15.23 feet O 19.77 feet 19.88 feet O 10.40 feet

Q: Consider the differential equation y''−2xy'+y=0y′′-2xy′+y=0 subject to y(0)=1y(0)=1 and…

A: Given; y=1+5x-x^2/2+x^3/6 y(.2)=?

Q: The point is on the terminal side of an angle in standard position. Find the exact values of the six…

A: pythagoras theorem hypotenuse=altitude2+base2 given altitude y=-4     here altitude is a side which…

Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arcos…

A: Givencos-1cos-3π2We know…

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A:

Q: Select the correct answer. Which hyperbola has both foci lying in the same quadrant? O A. (- 24)2 (y…

A:

Q: What is the radius of convergence of (п + 2)! (x+1)"? n! n=0

A:

Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

A:

Q: If the profit function for a product is  P(x) = 1200x + 80x2 − x3 − 58,000  dollars, selling how…

A: P(x)=1200x+ 80x2 -x3…

Q: A. Identify the given differential equati. as to the dependent variable, degree of the equation,…

A:

Q: A ladder 10 m long is leaning against a vertical wall. If the bottom of the ladder is pushed…

A:

Q: 9. 8. 13 3 f(æ)dæ = / f(x)dæ + f(x)de - f(x)dx, a 4 8. 4 what are the bounds of integration for the…

A:

Q: ider the function f(x) = 3 – 72² on the interval [- 6, 7]. Find the average or mean slope of th cion…

A: We wil use the mean value theorem.

Q: Which of the following transformation statements is not true about the transformation from y = cos-1…

A: We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect…

Q: Use Disk Method only Find the volumes of the solids generated by revolving the regions bounded by…

A:

Q: Use the integral test to determine if the series shown below converges or diverges. Be sure to check…

A: Follow next step

Q: Given the function graphed below, evaluate the definite integrals. 4 3. -1 1 2 3 5 -1 -2 -3 -4 1 |…

A: We have to find the value of the integrals.

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: Note that, the revenue is given by: R(p)=q×p where q is the demand function. So,…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

A: Area of the region bounded by the curves :      If f(x) and g(x) are two continuous function on a,b…

Q: Find two positive numbers that satisfy the glven requirements. The second number Is the redlprocal…

A:

Q: If F(x) = f(g(x)), where f(2) = 5, f '(2) = 5, f (-2) = 1, g(-2) = 2, and g'(-2) = 5, find F '(-2).…

A:

Q: 4 6 Find A-1, if A 2 4

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) sec t (8 sect + 9 tan…

A:

Q: dy Find for y = dx V7 – x2 dy dx

A: Differentiate  y with respect to x

Q: If f(-x)=(2,-1), what are the coordinates of f^(x)?

A: Given that,  f-x=2,-1

Q: d the area of the region bounded by the curves y = 3x and y = x².

A: Given query is to find area bounded by the curves.

Q: (d) sec(x) – sec(x) sin²(x) = cos (x)

A:

Q: dy when x = 1 is dx If y = e-ª In x then A) 0 B) Does not exist D) = E) e

A: We have to find the dy/dx    at x  =1

Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A:

Q: Is the area under the curve y (Inx)/x from X-1 to X=x finite? If so, what is it?

A:

Q: A stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 12…

A:

Q: Given t2 – 4 f(x) = dt 1+ cos2(t) At what value of x does the local max of f(x) occur?

A:

Q: D. Verify if The relatum O y= xe' y= eco{ 2x) is a soluhon to yl-Gy'+13y=D0 is a solution to yl -…

A: For verification of the solution will find the respective derivative and substitute into the…

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

A:

Q: Remember that we are looking for the value of the initial velocity, v(0), if the maximum height is…

A: topic- equations

Q: Substitute the values of f(x), a, and b in the Integral from the previous step, and find the average…

A:

Q: Find the Taylor polynomial of order 3 generated by x at a. 1 f(x) -, a = 0 x+6

A:

Q: b). Determine if y =x tan (x) satisfy dy_y x sec²(x) = 0 when y|x=0 = ( | dx

A:

Q: In each case determine if the Diophantine Equation has a solution. If it does find two solutions.…

A: Euclidean algorithm: Note that the greatest integer that divides both A and B is the Greatest Common…

Q: If f(x) = | ( + 2t² + 2)dt then = (x),,f

A: f(x)=∫0xt3+2t2+2dt

Q: 12) Find the n-th term of the Sequence 12,8,4,0,-4,-8,..

A: nth term of the arithmetic sequence :  an =a+(n-1)d , where , a-first term and 'd' is common…

Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters) dr

A:

Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

A:

Q: Select the best answer. (2e + 1)= lim (tan(x))- O DNE O -00

A: We have to find out limit

Q: Use the alternating series test to determine if the following series converges or diverges. E…

A:

Q: Solve using product rule d(uv) = u dv + v du: f(x) = (3x^2 – x + 4) (2x^2 – 1)

A: Our Aim is to solve the given function using the Product Rule where f(x)=(3x2-x+4)(2x2-1)

Q: 17. If lim- X- 200 – 4n + kn² then k =

A: Given

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

Q: Consider the function below. Use it to evaluate each of the following expressions. (If an expression…

A:

Q: For each problem, use implicit differentiation to find dy/dx in terms of x and y.

A:

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: