с — с2 C - f(c): 1+c² Find f(tan c)

Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

Q: lim,-2 3x? – x – 7 |

A: Applying limit property

Q: sec² (w) - -dw 4w2 +1 10.

A:

Q: (x + 2)2 + (y + 1)2 =

A: Use the formula a+b2=a2+b2+2ab (x+2)2=x2+22+2(x)(2) =x2+4+4x Also, (y+1)2=y2+12+2(y)(1) =y2+1+2y So,…

Q: [D³ 6D² + 11 D - 6) y = tanx -

A: Sol:- Original Differential Equation can be re-written as :- y''' -6y'' +11y' -6y=tanxThe general…

Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: 8x+1 Evaluate f dx using algebraic substitution V4x-3

A:

Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: 2x (i) da 1+z?

A:

Q: Solve Adj|[(ADT)B-C]|.

A:

Q: 1 x+1 ST (2y-2)dydx Evaluate 0 °0

A:

Q: Find the real values of x and y such that (x + iy)2 = -8 + 6i.

A:

Q: Vx2 + a? lim Væ2 + 62 Væ2 + c2 Væ2 + d?

A:

Q: coth (7x - 3) + C B) tanh (7x - 3) +c I sech? (7x - 3) + C tanh (7x - 3) + C

A:

Q: f 12x -9x +2 dx 3.

A:

Q: 4sec θ-√3= √3 + 7sec θ;(-∞, ∞)

A:

Q: f(x) = 5x + 2 a.) f(-2) b.) f(5)

A: To find the f(-2) and f(5)

Q: Q. / 3sec3xtan3xdx sec3x +c -sec3x +c O None O tan3x +oс

A:

Q: dx Use trigonometric substitution to find

A: Explanation and solutions is given below....

Q: Evaluate V1-x-dx A. --(x+xvI– x-) +C B. (x+xV1%3=x) +C c. (x+xv1+x-) +C D. -(x-xVT-x-) + C xv1-x)+ C

A: Find your answer below

Q: S (sec5x – tan5x)sec5xdx - Select one: O a. (tan5x - sec5x) + C O b. (tan5x – sec5x) + C O c.…

A:

Q: %3D

A: A differential equation of form f(x,y)dy = g(x,y)dx is said to be a homogeneous differential…

Q: =) Find limeo [-]

A:

Q: . lim e²x-1 X30 3x+4 sinx

A: given limit is of 00 indeterminate formso, apply the L'Hospital's rule to solve the limit