implify the expression √x^2 +36 as much as possible after substituting 6 tanθ for x.

Q: Solve for x if 0 ≤ x ≤ 360◦ tan x = −1

A:

Q: sec(tan ' ()

A:

Q: Find tanC. 1 A 3 V3 2 O V3 3 2. 12

A: We will find tan C as following.

Q: sec²3x dr 1+4 tan 3x Evaluate

A:

Q: Solve for x where-360 s x s 360. sincx-22)- 1 3. tan(x+ 40")-1

A: First problem is: sin(x-22)=-12We have sin(210)=-12 and sin(330)=-12Equating x-22 with 210 and 330,…

Q: Evaluate ∫tan4 x dx.

A:

Q: Evaluate ∫4∞(1/x2+16)dx

A:

Q: Enter your answer to the nearest integer. sin(7x) lim %3D

A:

Q: dx 25+4x?

A:

Q: Differentiate implicitlyxy^2+tan(y^3)=10y

A: Given expression is:xy2 + tan(y3) =10y

Q: -3 y = (x* – 2x*) + tanx

A: Given,         y=x4-2x3-3+tanx

Q: tan25x dx 4sin25x-4

A: Simplify the integral ∫tan125x dx4sin25x-4 using the trigonometric formulas (1-sin2x)=cos2x and…

Q: (d) tan 꽃 3

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

Q: Iff(x) = sin 2x, thenf'(x) =

A:

Q: 59. y = tan(4x²), x = /T

A: →Slope at any point of y=f(x) is given by ,                               slope(m) =…

Q: x* sin xdx .4 5.

A:

Q: simplify

A: Since cosec(t) is reciprocal of sin(t).

Q: Q2. Evaluate without using tables tanh0.75.

A:

Q: Evaluate using trigonometric substitution ∫(x+4)/(x^2-9)dx

A:

Q: If f'(x)=sec(2x)tan(2x) and f = 6, find f (x).

A:

Q: If p(x)=(2x+4)^tanx, find p′(x).

A:

Q: X+サメ= Sinzx

A: Solution is given as below:

Q: Evaluate  (from -6 to 6)∫(36−x^2)dx

A: Given query is to find the value of the definite integral.

Q:

A: To find: The value of fθ+π. Given: The function is fθ=tan θ=3. Formula used: Trigonometric reduction…

Q: V2 and x = 150 15. If sin (x + y)

A:

Q: 28) y = tan-1 /3x

A:

Q: d 35 - Find dr15 (x sin x).

A: To find:

Q: Rationalize the denominator: Va A where В The result can be expressed in the form A =

A: The rationalization of the denominator is the elimination of any radical expression from the…

Q: Evaluate: 2 sinxcos³xdx is equal to 0

A:

Q: 3T/4 18) 3 sec 0 tan 0 de

A:

Q: Evaluate the following expression over the interval [−π/2,π/2]. arcsin(−√3/2)

A: Given: arcsin(-32)

Q: х3 sinxdx n= 8

A:

Q: Use power se f0) = x sin x

A: We know that the Taylor Series expansion for a function y = f(x) is given as:

Q: Express tan W as a fraction in simplest terms. 24 6. V

A: Solution:

Q: Evaluate 1 tan |2x| dx 100

A:

Q: 5. y= 3tan 2x + tan³2x

A:

Q: If f(x)=sin^4 x, find f'(2)

A:

Q: tan 2x dx Vcos? 2x – 25

A:

Q: Evaluate sec? xdx \3/2 96. '(1–4 tan x

A:

Q: 3. tan(xy) + xy = 0

A: Since, the student has clearly mentioned to solve question number (3), so we are solving only…

Q: Rewrite the following expression in terms of exponentials and simplify the result as much as…

A:

Q: 2. sinh³ 4t

A: As per our company guidelines, we are supposed to answer only the first question. Kindly repost…

Q: Graph the function. h(x) = 5 |sin(x)| 2x 8

A:

Q: Find y lnxy tan (X+9)

A:

Q: Simh3X= 3 Sinht+4 Sinh?x

A: This identity can be proved by using the properties and identities of hyperbolic functions. The…

Q: y = 3 tan 2x + tan³ 2x

A:

Q: cos x esinxdx=? 0.

A:

Q: 3 sec 4x tan 4xdx 9/1 T/12

A:

Q: tios: COSX 6 X 10 8 8

A: sin x = perpendicular / hypotenuse cos x = base / hypotenuse base is that side which has 90o  and…

Q: In Q1, Sin e = 7 25 2. In Q1, Tan oo

A: 1. sin θ=7252. tan θ=3

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.