1]y=cos(Ax+ B)

Q: s nip

A: Given: 12cos2x+C=14cos2x

Q: Find general Solution of DE =0 on Co, mo). AISO how that xJú (x)-VJ,(x) + x Cn)

A:

Q: 15. Evaluate 2 (3x + cos 4x) dx

A: The given integral is: I=∫0π2 3x+cos(4x) dx

Q: (b) (cos(x) (2x + 3))'

A:

Q: Which is the du in y= sin (x2-2x + 1)? x2-2x + 1

A:

Q: 7. Differentiate w.r.t x- sin 5x cos 3x

A: Given problem:- Differentiate w.r.t  x sin5xcos3x

Q: If 0 < 0< and z= (sin 0+i(1- cos 0)) find in its simplest form arg z.

A:

Q: Evaluate the following integral. 3 4 4 cos '3x xp. sin 3x 1 18 4 4 cos '3x dx = V1- sin 3x 18 (Type…

A:

Q: (sin 2x)y' = y cos 2x

A: Consider the given Differential equation, sin2xdydx=ycos2x divide both side of the differential…

Q: Q1- Find the root of the functions within ɛa < 4 % f(x) = e-*(3.2 sin(x) – 0.5 cos(x)) Given that x…

A: According to the given information, it is required to find the root of the function.

Q: Suppose that 2x² - y² = t² and x = t cos 0. Find (a). ¹(2), X and 0

A: answer is in next step

Q: given f (x) = 3/5 cos (6x), what is the smallest possible value for f (x)?

A:

Q: (4) Evaluate cos (2x) -dx. (x² + 1)² 8.

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: Use the Intermediate Value Theorem to show that the equation cos⁡x=e^x−2 has a solution in the…

A: Please rate and feel free to ask any query about any part of the question.

Q: y = x cos(In x)+x² In x²

A: d dx(cosx) = -sinxddx(lnx) = 1xddxx2 = 2x   Product rule u.v = u'.v + v'.u

Q: raluate 1+cos 4r 1-cos 4x

A:

Q: Find дх (дхду) 6,e at the point(7,), where g(x,y) = cos(y) [sen(x) + xy].

A:

Q: 1. Eliminate the arbitrary constants of the equations below. y ==+c,x – Cos x + c2

A: Given differential equation is y=x26+c1x-cosx+c2. . . . . . . .(1) To eliminate the arbitrary…

Q: Analyze the approximate value and the exact value for (7.2, 4.02) for the function z = x³y2 sin(xy)…

A: Below given clear explanation .Have a look in hand written solution below

Q: 1. Eliminate the arbitrary constants of the equation below. y =+c,x – Cos x + c2 C1x - C1x – Cos x +…

A: To eliminate: The arbitrary constants of the equation. Given: The equation y=x36+c1x-cosx+c2.…

Q: 4. Derive error-bound formulas for the following expressions. i) cos(x) – sin(x) ii) In(x) + sin-1 y…

A:

Q: DIFFERENTIATE THE GIVEN y = x² co sec™ 3 -1 * COS

A:

Q: 7 Use the Intermediate Value Theorem and Rolle's Theorem to show that the equation 2 = sin z+1 has a…

A: use the intermediate value theorem and Roll's theorem to show that the eqautionx2=sinx+1has a…

Q: Determine c1 and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1 will satisfy the conditions y (π/8) = 0…

A: Given,y(x) = C1 sin2x + C2 cos2x + 1 — (1)Here we find the value of C1 and C2 such that the equation…

Q: y = e2* (c, cosx+ c, sin x)

A:

Q: Calculate L4 for f(x) = 84 cos ()

A: Given,           f(x)=84cosx2  over 2π4, 2π2

Q: determine the annihilator of the givenfunction. F(x) = x cos 3x.

A: Consider the given function, F(x) =x*cos 3x. Let f(x) is a function, which is defined as,…

Q: 5(t - )cos3t) 3 252 + 18

A:

Q: The integral So (cos(3x))² sin(3x)dx under the change of variable u = cos3x becomes - ov 29 9/29 u?…

A:

Q: 1. Eliminate the arbitrary constants of the equation below. x3 + c1x – Cos x + c2

A: Let's find.

Q: (1) Evaluate the following functions 1. In(3-i6) 3. cos (1+i3) , 2. e(0 52) , 4. tanh (2-i5)

A: As per guidelines, we solve only first question. 1. Given      ln3-i6

Q: 4) Find when y? – x² + cos(x + y) = 0

A:

Q: Find y' (y prime) and y" (double prime)y = cos(x2)

A: To determine the expressions for the first and second derivatives of the given composite function

Q: (5) Use the Intermediate Value Theorem to prove that xe* = cos(x) has a solution.

A:

Q: 2. Find g'(x) for g(x) = x cos-l-V1- r²+ez³ cos z. [Simplify answer as much as possible.]

A: topic -derivative

Q: 8. 6x° cos (x³) dx

A: ∫ x8cosx3dx

Q: Find the positive solution of f = 2x – cosx

A:

Q: Find the value of k if 1 х cos(3x) dx 1 3* x sin(3x) + — сos (3x) + C. k

A: .1. ʃ (u.v)dx= u ʃv.dx - ʃ(d/dx(u) . ʃv.dx)dx       Where u and v are function of x 2. ʃ sin(ax) dx=…

Q: 17. If g(x) = ln(cos x), what is g'()?

A:

Q: Find all values in the interval [0°,360°) that have the given function value. cos 0 = 2

A:

Q: X has a solution in Use the Intermediate Value Theorem to show that cos(x) (0, - 2

A: Using Intermediate Value Theorem to show that cos(x) =x is a solution in0,π2.

Q: given f (x) = 3/5 cos (6x), what is the largest possible value for f (x)?

A: Given query is to find the largest possible value of the function.

Q: Determine the general solution of y' = cosx cos y

A: we have to find the general solution

Q: (5e" + 6x + 5 cos z)da

A: The solution is given below

Q: Evaluate D°(cos x +e-2") A cos x – 32e-2x (B) sin x + 64e -2x (c) - sin x – 32e -2r (D - cos x +64e…

A: Here we have to evaluate      D6(cosx+e-2x)

Q: 4) Find when y2 – x² + cos(x + y) = 0

A:

Q: Find y prime for y=(cos(x))^x

A:

Q: find y prime and y double primey=cos(x^2)

A: To apply chain rule and product rule to find the first and second derivatives of a composite…

Q: Q6:- Prove that: y" = 0 if (cos y3csc COS

A: To prove : y'' =0

Q: Use the identity cos alpha cos beta = 1/2[cos(a-b)+cos(a+b)] to rewrite 2cos3xcos2x as a sum of trig…

A: The given identity