4 sec(8) = find cot(0) 2

Q: secx cos )

A:

Q: cos z) dz 4 5.

A: Given: - The indefinite integral is, ∫e2zcos14zdz To find: - The solution of the given integral.

Q: 2 Use the trapezoidal rule with n = 5 to approximate sin(x) -dx. 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 ,5…

A: Trapezoidal rule

Q: Obtain the general solution to the equation dr +r tan 0 de sec 0.

A: Given first order differential equation is drdθ+rtanθ = secθ. We have to find general solution of…

Q: Find all critical points of the function: R(θ) = cos θ + sin2 θ

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…

Q: Find the maximum possible error in the computed value of the hyperbolic sine function, sinhx = at…

A: Solution

Q: 1 cos(sec-x) dx 2/V3 xVx²-1

A: Let's find.

Q: 3G)Ú) Show that the reduction formula for atanx で-u sec"x dx = Sec" 「キu ) Hence use tthe formula to…

A:

Q: 2. A particle moves along the parabola y = x in the first quadrant in such a way that its…

A: Given: A particle moves along the parabola y = x2 in the first quadrant in such a way that its x -…

Q: What is the integral of question 23 and why is the answer 0?

A: Let f(t)= t^4*tan t/(2+cos t)

Q: 3. S. 2 cotx-3 sin²x dx sin x 4. (2x2+x dx x+1

A:

Q: 4 f sin(5 – 6x) sin (6x – 4)dx -

A: Here limit are not given so we integrate only without using of limit.

Q: tan x dx=... +C sec x Select one: 3(sec5/3x) 3 3 I sec x O none of the mentioned 2(sec1.5x) +2y sec…

A:

Q: limit x to 0 sin(4t)sec(1000t)/10t

A:

Q: |( + 3t) sin(2t) dt 13.

A:

Q: Compute without using a calculator.

A: Given expression: sec-1sec3π2

Q: -2 cot x sec(x) +1 sec(x) – 1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2x – sin y y' = x cos y

A:

Q: 3. S sin x sec®x dx

A:

Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: Provide 3 examples of the application of derivates (Newton's method).

A:

Q: 2. Find a root of f(x) = 6 Sin (x)e* + 1 using Newton Raphson Method accurate to 5 decimal places.

A:

Q: |7t tan (1) dt

A:

Q: 4. A projectile is launched with an initial speed of 40 m/s from the floor of a tunnel whose height…

A:

Q: ) A Cylinder tank of radius 4m and height 10m is initially filled with water. At the bottom of the…

A: Given that radius of a Cylinder tank is 4 meters and Height of tank is 10 meters. A hole is at the…

Q: Bring out the importance of Frii's formula.

A: Answer: For the given data

Q: coth“ (sin 3z) -dz /1– tanh² 3z 12)

A:

Q: 2x y = Arc sec 3

A: We will use the formula of derivative of arc secx to solve this question.

Q: Compute the length of the curve r-4 sin 26 for Approximate to three decima places.

A:

Q: Find the equation of the tangent line to the astroid x = cos° (0), y = sin³ (0) at 0 = 5. (Express…

A: The given equation of the astroid:x=cos3θ and y=sin3θWe need to find the tangent line to the astroid…

Q: 23. cos (3z + 4) dz 25. sec2 (3x + 2) dx

A: A

Q: 1. Use Fermat's principle to find the path followed by a light ray if the index of refraction is…

A:

Q: Find the root of the equation Cosx-x' = 0 near to 0.5 using Newton-Raphson method correct up to 3…

A: To determine the root of an equation using Newton-Raphson method, first choose an initial value x0…

Q: Evaluate: S 0 tan¬(0)d0 arctan(8)–0 Sarctan 0 + C 2 arctan(0) 0 zarctan 0 + C 2 arctan 0- 0…

A: Please refer the attached image for complete solution.

Q: Find the second derivative of f (z) = 6 sin (4z). %3D Enclose arguments of functions in parentheses.…

A:

Q: Evaluate the intergrals. ∫ ex sin2x dx   show the complete solution. step by step

A: There are exponential function and trigonometric functions in the product in the given integrand.…

Q: 4. xy = COS (²) + +1

A:

Q: 2) [ tan' (-) sec" () dx , 3) | 3) T5x+4 dx, 1) sin-1x dx , tan () sec? V5x +4

A: Since the question contains multiple part we can solve only first 3 for you. If you want any…

Q: 2. Solve the DE: -+secx(y-2sec³x+2 sec² x tan x) + y cotx=0 dx

A:

Q: 1. Find the point(s) if any where f has a horizontal tangent line. у %3D УЗх + 2 cos x 0<x < 2п

A:

Q: Find dy/dx if sin-(4y²) = 8x² – 5y3 Answer: Find dy/dx if tan- (xy²) = 3x² – 5y² Answer:

A:

Q: Find at the point (5, -1,5) where z is defined implicitly by the equation y°z + x cos z = z sin x.

A: Differentiate both sides partially with respect to y

Q: 4. EVALVATE | sin4x vos5x dx

A:

Q: Find y' at the point (4, 4) where x sin(x² – y²) + 13 = x² – 3. -

A: y = f(x) g(x) Then y' = f'(x) g(x) + f(x) g'(x).

Q: 6. Using the Taylar's theorem, find the approximate value of sin(0.4) with the error value being…

A: We are entitled to solve only one question at a time  To find - The approximate value of  sin0.4 by…

Q: (tan (3x)] = %3D dx A) 5 tan (3x) sec2 (3x). B) 15 tan (3x) sec2 (3x). c) 15 tan (3x) sec(3x). D) 5…

A: We have to find the derivative

Q: (2x–1)(cos(/3(2x–1)3+6)dx V3(2x-1)3+6

A:

Q: Tan(3(x+iy))

A: Given below the detailed solution

Q: 1)fsin 4.xdx esc(2+3lnx) 6) dx 2)ſcos 2xdx 7)f sec (4x)dx 3) fx tan(2x +1dx 8)fx csc 3- dx 9)fx…

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.