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

Q: 3. For the function f(r) = cos(x) find V}(0,27).

A:

Q: Given f(x, y, 2) = 4 sin(x + y), find f,(0, . -3), F,(0, -3), and f-(0, -3). 4 -3 4 40. -) - 4 II II

A: Answer is 0  Explanation is given below..

Q: ) GIVEN: The function f:[0, 7] → R, f(x) = sinx + 2 cosx Find the set, A, of critical numbers for f

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Q: sin, ifx T 2л

A:

Q: Find f(x).

A: Given,

Q: V. Let z be a function of r and y, and tan y2 + x2 = z*ey. Solve for dz dz and

A:

Q: Find the local maxima and minima of the function sin(x) f(x) 3+4 sin (x) 2 on the interval [0, 27].

A: Given,           f(x) = sin(x)3 + 4sin2(x)  and interval =0, 2π

Q: It is known that the range of the function f(x)= a sinx+1 for xER is -2<f(x)≤4, then a = ?

A: Given fx=asin x+1,     ∀x∈ℝ range of fx is -2≤fx≤4

Q: Evaluate f(x) dx, where f(x) = 13 sin(x), 0< x < T. f(x) dx =

A: The solution is given as

Q: find fx and fy of the given function        f(x,y) = x^y sin^-1(e^x+y)

A: Given: fx,y=xysin-1ex+y To find: fx and fy Solution: fx means patial derivative of given function…

Q: Given that f(x) = sin((7x + 6)4), find f'(x) as a function of z. f'(2) =

A: Given:      fx=sin7x+64   differentiating on both sides       f'x=ddxsin7x+64…

Q: Given that f(r) = sin z cos2 r + 2 = (sinx + a)² + ³ , the value of the constant and the least value…

A:

Q: For the function f(x,y)= (x² + y²) tan(ln(xy)) + e(x-y) which of the following is the value of…

A:

Q: The function f: x 1-> a + b cos x, is defined for 0sxs 2n. Given that f(0) = 10 and that %3D n)= 1,…

A:

Q: Given f(x, y, z) = 4 sin(x + y), find f, -3 -3 and f. -3 2

A: f(x,y,z)=4sin(x+y) we simply replace value of x , y and z

Q: Given that f"(x) = cos(x), f'(T/2) = 2 and f(T/2) = 12 find: %3D - f'(x) = f(x) =

A: Given: f''(x)=cosx

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: Find the linearization of the function y = f(x) = x2 sin(x) at a = π/4 and use it to approximate the…

A: Given,

Q: For the function f (x) = cos² x – 2 sin x, find the interval(s) on which f (x) is…

A:

Q: For f(x, y) = sin(9xy) evaluate fz at the point (2, 4

A: Answer is mentioned below

Q: Given, f (x, y) = sin (x²y – 2x + 4). Find fy. - x cos (x²y – 2x + 4) x² cos (x²y – 2x + 4) O-x² cos…

A:

Q: If f(t) = cos t and f(0) what is the exact value of 4 f(0) + f(0+ 27) + f(0 + 47) ?

A: Given : f(t) = cos t and f(θ) and -1/4

Q: Given a function f(x,y,z) = (x+1) In (10y - 6) sin (4z). Find the range of the function.

A:

Q: Some elementary functions, such as f(x) = sin(x2 ), do not have antiderivatives that are elementary…

A: let ∫x-necxdx for n a positive integer and c a non zero constant is non elementary since…

Q: Evaluate f(x) dæ, where S6z*, (3 sin(x), 0<æ < a. π<=<ο f(x) = f(x) dx =

A:

Q: 4) If F(x)= } d, then F'(x)- sin t

A: Note : According To our guidelines we can solve only first question and rest can be reposted.Thank…

Q: Find for the following function. dx y = 3 cos x sin x dx II

A: Take derivative on both sides Take the constant 3 out from the function ,

Q: Evaluate | f(x) dæ, where -T< x < 0 f(x) = 15 sin(x), 0< æ < n. | f(x) da = -T

A: Solve the following integral

Q: 3. If f(x) = cos(x), determine f(125) (-T). V2 (B) 2 (A) 0 (С) 1 (D) –1 1 (E)

A: we will use nth derivative formula of cosx .

Q: Find f(x), where f'(x) = sin(x) + cos(x) + 1 and f(T) = 2.

A:

Q: H. For the function f(x)= cos(ax), find all MVT Values 0<c <2 where f(2)-f(0)= f'(c)(a - o)

A:

Q: 12. V5z-8 f(z) = 13. f(x)=sin(3x² +x)

A: We can answer both the question as below using chain rule.

Q: Given that f"(x) = cos(x), f'(x/2) = 4 and f(r/2) = 7 find: f' (x) = sinx+3 f(x) =

A:

Q: Given f(x) = x + sinx, determine all values of x in [0, 2π) where f(x) has a horizontal tangent. x =

A:

Q: Find for the following function. dx 4 sin x y = 9 -8 sin x dy dx II

A: Quotient Rule:- The quotient rule is a method of finding the derivative of a function that is the…

Q: Find the orginal function of this A Fx) =-1 (B) Frz)= X +1 ニー re Fez) s -x+3 tan x - sec3x

A:

Q: lf f(x) = 3x sin x cos x, find f'(x)= To two decimal places, Find f'(2) =

A: f(x) = 3xsinxcosx find f'(x) = ? and find f'(2) = ? here first we use formula 2sinxcosx = sin2x and…

Q: Find for the following function. dx 3- cos X y = 4 + coS X

A: follow next styep

Q: Find f(x), where f'(x) = sin(x) + cos(x) +1 and f(T) = 2.

A: We have to find

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: Find fogo h. f(x) = 3x – 4, g(x) = sin(x), h(x) = x²

A: Answer is mentioned below

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

A:

Q: The function f : XI→ a + b cos x, is defined for 0 sxs 2n. Given that f(0) = 10 and that f (n) = 1 ,…

A: The range of a function is the values that can be obtained from the function by substituting all the…

Q: Find for the following function. dx y=9 cos x sin x dy

A: Differentiate y with respect to x using product rule.

Q: The least value that the function F(x) sin x may have is -1 1

A:

Q: Given a function f(x,y,z) = (x+6) In (5y - 5) sin (9z). Find the range of the function. %3D

A: For the solution of the problem follow the next step.

Q: a² f For the function ƒ(x,y), compute Or d0 if x =r cos O and x=r sin 0 .

A:

Q: Please solve the Vƒ of the function below at point P. a) f = (x² + y² + 2)-05, P; (12,0, 16) b) f =…

A: a) The given function is f=x2+y2+z2-0.5. This gives ∂f∂x=-0.5 x2+y2+z2-0.5-1…