Write the expression in algebraic form. [Hint: Sketch a right triangle, as demonstrated In Example 7.] cos[arcsin 5x)

Q: question#22

A:

Q: ∞ Determine whether the series (-1)"- n gent, or divergent. n=1 is absolutely convergent,…

A:

Q: Integrate using the method of trigonometric substitution, express the final answer in terms of the…

A: In this question we have to solve the Integration. Trigonometry Identity Used:-…

Q: Use Simpson's rule with four subdivisions, to estimate the following integral f/² cos x dx

A:

Q: Plot the pair of points and find the slope of the line passing through them. (0, 0), (-9, 13) Step 1…

A:

Q: 2 Solve the following ODES by Inverse Operator method. 1.2 y - 2y +y = e sinx "LI X Xx Ans:…

A:

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A:

Q: Find the absolute maximum and minimum values of the following function on the given region R.…

A: To find the absolute maximum and minimum.

Q: Perform the matrix operation [1 2 7 1 -25 -4 +8[1 2] L6 0 14

A: Scalar multiplication of matrix and addition of matrices of same order are component wise…

Q: y = (201³ - 6) Find d²y da 3 9

A:

Q: 4. Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 9x on the…

A:

Q: An exponential function f(x) = ab passes through the points (0, 3) and (3, 375). What are the values…

A:

Q: Find the exact value of the following expression. sin (sin ) Select the correct choice below and, if…

A:

Q: 4. S 1 x²√√x²+4 dx

A:

Q: Explain why the integral is improper. 100 1 10 X 1.4 converges diverges 1.2 1 y 0.8- 0.6 dx 0.4 0.2…

A: To find the value of an improper integral, convert the integral in terms of limits. If the resulting…

Q: Consider the following differential equation to be solved by variation of parameters. y" + y =…

A:

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A:

Q: 12 f(x) = x² - 6x² + 2 Determine the intervals on which f(x) is increasing/decreasing and identify…

A: Given,  f(x)=x125-6x25+2

Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. -1+x if…

A: In this question we have to find which graph is best for the given function.

Q: 16. x²y" (x) + 5xy' (x) + 4y(x) = 0 ; y (1) = 3, y' (1) = 7 17. x³y"(x) + 6x²y"(x) +29xy' (x) -…

A: The given differential equation is;  x2y''(x) +5xy'(x) +4y(x)=0, y(1)=3, y'(1)=7.

Q: Cut out squares (of the same size) from the four corners of a square cardboard of given side length…

A: The side of the square = L  let the length of the square = x,

Q: Consider the following differential equation to be solved by variation of p y" + y = csc (x) ind the…

A: The solution is given below

Q: State the restriction on the domain and then find the inverse of the function. f(x) = x² - 6x Domain…

A: The given function is fx=x2-6x

Q: n=1 [cos-²x dx] n 2. Derive the reduction formula for cos"x. [fcos"x dx= cos x sinxn- n

A:

Q: Find the absolute extreme values of the function on the interval. F(x)= == 3 21 0.5≤x≤2 OA. absolute…

A:

Q: Find the exact value of cos 2x given that sinx= - 3 and x is in quadrant III.

A:

Q: 4. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…

A:

Q: Solve the initial value problem: y(x) = 2x - 4y√x² + 1. dy dx = 0, y(0) = -4

A:

Q: f(x)=ax^3+bx find the derivative

A:

Q: I'm looking for a more expanded explanation on how to graph f(x) = -3sin(x).   I'm not…

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 –…

A: Here is the solution:

Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₁ = 1 x²…

A:

Q: Set up, but do not evaluate, an integral for the length of the curve. xex⁹ Jo y = 0≤x≤5 dx

A: Given,  y=xex9, 0≤x≤5

Q: 2 Solve the following ODES by 1.2 • ý -2y +y = e sinx Inverse Operator method X X Anse y=cie +…

A:

Q: Select the correct answer. y = 6x4 - 8x² + 5x 4 y = 5x² - 6x² + 8x + 3 y = 6x²³ - 8x² +5 Oy=x²-8x²³…

A:

Q: Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100 mg…

A:

Q: Select all that apply: f(x) is not continuous at x = 3 because limf(x) ‡ƒ(3). Of(x) is continuous at…

A:

Q: Tutorial Exercise You are given the dollar value of a product in 2016 and the rate at which the…

A: topic- linear equations

Q: M8 K-0 3 900+3k

A: Given, ∑k=0∞3900+3k

Q: h tin tly Suppose that the graph below is the graph of f'(x), the derivative of a function f(x).…

A:

Q: For Luce landscaping, the total revenue and the total cost of yard maintenance of x homes are given…

A:

Q: Sketch the graph of the inverse function. -B Ау B- (2,3175) Q ✔ Choose the correct graph below. O A.…

A: The given graph is

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A:

Q: (a) Determine whether the series (b) Determine whether the series ∞ n=1 ∞ n=1 n+1 n³ +3 is…

A:

Q: 72. Function f(x) = cos 2x, π 0<< 2 Real Number a = 1

A: Given: fx=cos2x 0≤x≤π2

Q: Find the gradient of the function In(x² − y) – 1, X Vz(2, 3) = Z at the given point. (2, 3)

A:

Q: Problem 2.7 Let Find the limit lim f(x). x 0 f(x) = x² if x is rational 0 if x is irrational.

A:

Q: =4 Sin4n 3n A. The limit of the sequence is: B. The sequence diverges.

A:

Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: To find the critical points of the following function. By using the Second Derivative Test to…