find the zero and its order for the FAO function fl2)=1- 1i+ 2+ e? .

Q: Consider the function h (t) = e-3t cos (2t) . Compute h' (7/3) - Number FORMATTING: Give the value…

A: In the given question, concept of derivative is applied. Derivative The derivative expresses the…

Q: make a sketch of the given function on [0,∞) and express it in terms of the unit step function.

A:

Q: A- Use the fixed point and Newton-Raphson methods to estimate the function, employing to five…

A:

Q: 1-Cosh

A:

Q: Find the crirtical point for the function f(t)=t-4(sqrt(t+1))

A: To determine the critical point of the given equation.

Q: What is the range of the function f(æ) = 23 sin 4w+1 ?

A:

Q: The domain of the function 7 (t) = (In t, cos 2t, /t – 2) is

A: Given that function rt→=lnt,cos2t,t-2To find : Domain Solution: rt→=lnt,cos2t,t-2t>0,t-2≥0

Q: Calculate the degree 2 Maclaurin polynomial of the function F(x) = cos(t?) dt.

A: We have to find

Q: The approximation of f, xin(x + 3) dx using two points Gaussian quadrature formula is:

A:

Q: The domain of the function f(x)= tanh(18 - ) is (289, A), Then The value of k= %3D The value of A =

A:

Q: The domain of the function f(x)= cos( -3) is [22, A], Then A +k =. Answer:

A:

Q: Given a function f(x,y,z) = (x+7) In (6y - 4) sin (1z). Find the range of the function.

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Q: sin t. 15. C/G f()= 2 sint. cost, 12 x.

A:

Q: The graph of f(t) = tan (2t + 4TT) intersects the t axis on the interval T0, TT] at points %3D

A: Consider the given: ft=tan2t+4πAt t-axis, ft=0,  tan2t+4π=0           2t+4π=0+πn…

Q: Obtain graphically an approximately value of the root of x = sin x + Tt /2

A:

Q: Use the Fundamental Theorem of Calculus,Part 1, to find the function ƒ that satisfies the…

A: We have to use the fundamental theorem of Calculus Part-1 to find the function f that satisfies the…

Q: Denote the second Fourier cosine coefficient on the interval [-L, L] by L A2 f(x) cos -dx. -L Show…

A:

Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

A: Let's find.

Q: Given a function f(x,y,z) = (x+10) In (5y - 6) sin (5z). Find the domain of the function.

A: To find domain of function

Q: Which function is equivalent to f(t) = cos 4(t - TT/4)?

A: For two functions f:R→R and g:R→R to be equivalent, it means three things. First, the domains of the…

Q: Find a function ƒ and a real number a such that 4 + / f(t) d : = x tan¬1 x. a.

A: Given that,  π4+∫axf(t)dt=xtan-1x We have to find the values of f and a.

Q: The base of a three-dimensional figure is bound by the graph x = cos(y) + 1 on the interval [-n, r].…

A: Option(2) is correct answer.

Q: Consider the function f(xr)=x+sin(x), where the sin function is in radians (Beeler et al. 1972).…

A:

Q: GIVEN: f:0,2x]- -R, f(1) = sinz+ cos I %3D Find f (x) in factored form.

A: Differentiate the function fx with respect to x.

Q: Given a function f(x,y,z) = (x+5) In (4y - 5) sin (10z). Find the domain of the function.

A:

Q: Find the root of the function ((x) =sin x -e in the interval (0,1) using the formula g(x) =aresin…

A:

Q: Given the function g(x) = :/ V4 + sin(31) dt, 2x3 use the Fundamental Theorem of Calculus Part 1 to…

A:

Q: Express the function f in terms of the unit step function: sin(2t) 0st 2n.

A:

Q: u(x,у)- (sin x)(e' — е").

A:

Q: Carefully plot the function f() = 1+ E=12(-1)"+1 sin(nx) for N = 3, N = 8, and N = 20 with r in the…

A: The graph of a function in one variable x, the function represented as f(x), can be plotted by…

Q: consider the ff. function: f(x, y) = cot" "^ (1+x) - 2x + ³y 3y 2e

A: Given the function             f(x, y)=cot-1(1+x)-2ex+3y Where              x=s2+t2,  and…

Q: Differentiate the given function y = cosh(In(6x*)). 1 а) О Зг? + 4 x4 1 b) O 92? 4 x4 c) O 3z2 1 3x²…

A: Given function is y=cosh(ln6x3)

Q: Find f. f '(t) = 10 cos(t) + sec2(t)

A:

Q: Consider the function f (x) = 3 sin (x) – 2. Find the exact value(s) of C in the interval [0, T|…

A: We have to find value of c.

Q: The residue of the function (z+i)3 sinz is (iii)

A: a) The objective is to find the residue of the function sinzz+i3  b) The objective is to find the…

Q: Given a table generated by the function f(x)=cos.x. !! 4 f(x) 0.7071 -0.7071 -1 Approximate f by…

A:

Q: ) Find the derivetine of the fnchiog h(x) = I sinhex-7x 4

A: h(x)=74sinh(2x)-7x2Differentiate w.r.t…

Q: The residue of the function sinz is (z+i)3

A:

Q: Find the convolution of the two functions: f(t) = 2t and g(t) = () Cos 3 t. %3D

A:

Q: Solve the eaation on the interval. 2sin Đ =3(cos o t D

A:

Q: Given f(x) = , 1+ cos²(t) t? - 9 dt %3D 0. At what value of x does the local max of f(x) occur?

A:

Q: The value of 'a', for which u(x, y) = xt + ax?y2 + y is a harmonic function, is

A:

Q: Given the multiple variable function f(x,y,z)= Ax*e - Bz² co{x²y* )+ Cx*y*z², where 1. the…

A: Answer

Q: Verify whether the function u=e^(x^2-y^2 ) cos⁡2xy is harmonic or not.

A: A function u=fx,y is said to be harmonic if ∂2u∂x2+∂2u∂y2=0 Now, we have u=ex2-y2cos2xy We will use…

Q: Let G(x) = sec 0 do for a in [0,]. Find G'(a).

A:

Q: is The period of the function f(x) = 3sin4 (x-) (1); TE (c) (a) 2 3

A: Given f(x)=3sin4(x-π4)We know that y=A sin(B(x+c))+DFrom the equation A is amplitudePeriod is 2πBC…

Q: Find a trig substitution r = f(@) that makes 1 dr = cos 0 de. (V4+)3

A: Here we have to substitute x =f(θ)

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.