"( -y is 16. If f(x, y) is harmonic, show that f 12 + y2 x2 + also harmonic.

Q: For f(x) = メ-4 . and g(x) = x+5. メ-8 メ+7 1.) First, find: fog •gof •fof •gog 2.) State the domain of…

A:

Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x…

Q: 2x=20,x what is the comma for

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Q: 6) Differentiate: a) f(x)= 5x-3 +1)

A:

Q: \text { 23. } \frac{3(3-t)}{(t+5)(t-3)}

A: here given 3(3-t)(t+5)(t-3)

Q: determine the positive and negative intervals of the equation f(x)=x2e17x

A: Note that x2≥0 for all x. And, e17x>0 for all x.   That means f(x)=x2e17x≥0 for all x.

Q: Explain two applications of 2 examples of periodic functions that exist in everyday life.

A: Periodic function - It describes any phenomenon that involves repetitive behavior at regular…

Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: Write the domain of the given functions in interval notation:

A: here we have to find the domain of the given functions.

Q: 2, then the conju

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Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: of f (x) = 1³ + 2z² + 3x + 6?

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Q: Find the range of f(x) = 2-√2-x along with explanations!

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Q: (3 2X +2X +2 dx x²+2x=x -2

A: As per guideline we have to solve

Q: X 0 1 2 Y2(x)= y 1 3 0 (x-x1)(x-x2) (x0-x1)(x0-x2) f(x0) + (x-x0)(x-x2) (x1-x0)(x1-x2) f(x1)+…

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Q: Let f(x) = -6x4√√x + f'(x) = -2 x³√√x

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Q: 6. Differentiate. (Do the first step only, do not simplify) f(x) = (2x* - x³)²√3x + 1

A:

Q: Suppose we have two functions f and g defined by f(x) = 2x + 3 and g(x) = x^2 - 3x + 2. Find…

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Q: Q2\ Evaluate : fot√x dx

A: The given integral is ∫cot2xxdx use the identity  cosec2x-cot2x=1 cosec2x-1=cot2x therefore the…

Q: Q1-6 * 2 points 1 -sin(2x): - sin(2x) -125 (D²-1)'

A: Given, 1D2-13sin2x=x-125sin2x To find:  To check whether L.H.S = R.H.S. or not

Q: 4. Use the graph to evaluate: J_z f(x)dx b. Ji f(x)dx a. ₂ f(x) dx d. 52 f(x)dx C. HAVE 2 N ++ -2 +

A: Values of the definite Integrals using the graph

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

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.