9 In order to evaluate the following integral 1 -√2/cos-¹(√x) dx 1 =- we first use the substitution W we use Integration by Parts to obtain I= W cos¹W + the above I = W cos-¹ W s = √x, then W √1-W² S dW W √1-W² dW

Q: (+²+ 2) y² - 4 ty=4t, y(0) = 3

A:

Q: Find the derivative where w=5xyz, x=2t, y=4t, and z=3t-³. dw 1 dt dw dx (Type an expression using x,…

A:

Q: -2 - 1 How did he get the value inside the circle 1-t x (t) = ૧ 1-t 2

A:

Q: Find the general solution of the differential equation. y"" - 5y" - 25y + 125y = 0. NOTE: Use c₁1,…

A:

Q: dx 2+2 sinx + cos x

A:

Q: A parametrization of curve describes the specific time and location of a particle moving along the…

A: To sketch the curves xt=t2-4, yt=t2 for -2≤t≤3 and xt=4t2-4, yt=t for -1≤t≤32 and evaluate their…

Q: Find the solution of the given initial value problem. 3y""+66y'-1044y = 0; y(0) 11, y'(0) = 57,…

A:

Q: 1 For what values of x is f(x) = concave downward? A B C D f(x) is never concave downward on its…

A: The given function is: fx=1x4  For what values of x, f(x) has concave downward.

Q: A jwb (b-a) [ube job A سلم) ] (b-a) e + wa a (ولم _4 ou - وسلام

A:

Q: foo 0 dx e²x

A:

Q: A definite integral property says f₁² ƒ' (x) dx + f² ƒ' (x) dx = S² ƒ' (x) dx. What is ff'(x) dx? O…

A: Given graph of f'(x)

Q: Given the lines 1₁ and 12; l₁ x = 1 + 3t, y = 26t, z = 7t - 3, 1₂: x=4=6-y=5—2 -8 3 5 (a) Show that…

A:

Q: 1. vdv S 602-1

A:

Q: Find the area of the parallelogram that has u = 2i - 3j + 2k and = 2j+ k as adjacent sides. NOTE:…

A:

Q: By Newton's universal law of gravitation the free-fall acceleration a of a body, such as the…

A:

Q: A manufacturer knows that when he charges p dollars per unit for his product, he will be able to…

A: Given :Ax=5+x50x=380-20p

Q: You are planning to make an open rectangular box from a 31-in.-by-61-in piece of cardboard by…

A: First take a square of length x then make a box and find the volume in terms of box . And…

Q: A solution of a DE identical to zero, that is, f (x)=0 for all real x in a given interval is called…

A: A solution of DE identical to zero,that is f(x)=0 for all real x in a given interval is…

Q: If k> 0 such that O St the above 4* dx = 3 then k = 2ln 2

A:

Q: Suppose that f(x) = 6x + 3x². Evaluate each of the following: ƒ'(2)= f'(-1)=

A:

Q: How to work out the break-even???

A:

Q: Why did the sign change from positive to negative?

A:

Q: 5x^4-8x^3+6x-5 find the second derivative and find the concavity upward and downward

A:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector.…

A:

Q: Find the general solution of the given higher-order differential equation. y"" - 9y" + 15y' + 25y =…

A:

Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 2n(ln(n))² 4n I = X Find the…

A:

Q: 1. Estimat 2. Answer a. Fir b. Fi C. F

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the approximate value…

Q: Evaluate using integration by parts : fln 3x dx

A:

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) -5…

A: Understanding of logarithmic function is required to understand this problem.

Q: Find the component form of u + v given the lengths of u andy and the angles that u and v make with…

A: We can solve this as follows:

Q: =) y II 131 Olim x 1 z 1 0 -1 lim 2-1 x |x-1| |x-1| x - |x-1| lim z 1 x- - 1 -5 -1 DNE UND 0.9 -1…

A: c) Given,y=|x-1|x-1 now, limx→1-11-xx-1=limx→1-1(-1)=-1

Q: The following formula is used by psychologists and educators to predict the reading ease, E, of a…

A:

Q: Consider the parabola given by the equation: f(x) = 2x² - 12x Find the following for this parabola…

A: Concept: vertex of the parabola: A parabola's vertex is the location where the curve turns steepest.…

Q: The indicated function y₁(x) is a solution of the given differential equation. xy" + y' = 0; Y₁ =…

A:

Q: Evaluate the iterated integral below. π T/4 A lago S. 0 1 y cos (x) dy dx

A:

Q: Evaluate f'(x) if f(x): O f'(x) = f'(x) = O f'(x) = = O f'(x) - 2 x + 2 x + 1 + 3 x + 2 6(x + 1)(x +…

A: We know that ddxuv = v·ddxu - u·ddxvv2       (division rule) ddxu·v = u·ddxv + v·ddxu      (product…

Q: Test the series for convergence or divergence. 8 Σ· n = 1 2 n

A:

Q: For what values of x is the function f(x)= A 2 B с The function is never increasing The function is…

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Given points are,

Q: a. faxy, b. fxyx, and c. fyxx. 4 33. f(x, y) = x²y³ – e ²x

A: Solve the following

Q: Case Scenario/Problem Real World is television production company that manufactures movies. The…

A:

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

A:

Q: e-n n(n + 1) E(-1)"+1. n=l

A:

Q: 3 Solve the following GDES by variation of parameters method: ý - 2y +y = e sinx Ansa U ● X sin X

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

A:

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu²…

A:

Q: Given H(jw) -(4+jw) 6+5jw-w² an rewrite as:- (jw+4) -+₁) 6+ (jw)² + 5jw (jw+ 4) (jw+3) (jw+2) (jw+3)…

A: Topic:- application of calculus

Q: A decreasing derivative f'(x) corresponds to a concave down function f. On which interval(s) is f…

A:

Q: Write an equation for the quadratic graphed below: x-intercepts: (-2,0) and (3,0); y-intercept:…

A: NOTE: Refresh your page if you can't see any equations. . x-intercepts are so the factored form of…