Let g(x)=4x csc x . Find the (exact) value of 5л g 6

Q: Q5) Find fs) if you know that g(x) cos(x- 1). fx) = 3tan(x) at r2

A:

Q: Oz Aradom Variable(x) has the following cof FX(X) = (x³ + x) al find the pdf of X find Pro <xcot)…

A: Given that: The cdf of random variable X is given as: FxX=12X3+X      where 0≤X≤1

Q: E+ 4) for x e [O, of f(x)?

A:

Q: What is the maximum value of y = cos x. For -5 < x <? 1 2 O 1/2

A: Topic = Derivative

Q: Evaluate , g(x)dx geometrically for g(x) x + 2,x 0° %3D

A: According to the fundamental theorem of calculus ∫abf(x)dx=F(b)-F(a), where dFdx=f(x). Geometrically…

Q: 3 Use the definition 平grien FuncTionsEat'co,): for ー X+y X-ツ ix=ツ ) fory) =) singty4) ーty2 (x) #…

A:

Q: Differentiate the following with respect to x: c) Vx2 + 1

A:

Q: if g(x)  = x Sin-1(x/4)  +  √(16 - x2) , find g'(2)

A: The product rule is used for the LHSwhere as power rule  for the RHSg(x) = x sin-1x4+16-x2g'(x)…

Q: Let f(x) = (c + 1)x+ In(cos x). For what value of c is f'(/4)=6

A: This question can be solved using the concepts of differentiation.

Q: Find the value of C such that the fnction Continubus on (-00,00) Cx +1 for XS 2 f(x)= r4x+I-3 for…

A:

Q: e8 dx xvIn x

A:

Q: Let h(x) f(æ) If f(x) = 3 cos (x) and g(x) = 3x + 2x2 – x + 4, what is h' (x)? (æ)6

A: Given: f(x)=3cos(x)g(x)=3x3+2x2-x+4   Let h(x)=f(x)g(x).   Then, h(x)=f(x)g(x)=3cos(x)3x3+2x2-x+4

Q: əz əz When e* = xyz, find and əx ду'

A: The given equation is ex=xyz. So, ex=xyzz=exxy

Q: Find the anti-derivative of g(x) = 2*, which contains the point (0, 2.44). ⒸG(x) = -2 O G(x) = 2 O…

A:

Q: f. f(t) = eat cos² b t.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: (e) P(X -0.5) (f) x such that P(x< X)=0.05.

A:

Q: Find a point e satisfying the conclusion of the MVT for the function y(x) = 2e* on the interval [0,…

A:

Q: if f (x) =x2- arc csc x², which of the following is equal to f '(x)? (A 2x – xV-1 B 2x+ x4- 1 2x…

A:

Q: 4. h(w) = ew*-3w²+9 5. g(x)= In(x-4+x*)

A: Using this formula we shall solve the problem

Q: Let h(x) f(x) . If f (x) = 3 cos (x) and g(x) = 3x³ + 2x² – x + 4, what is h' (x)? g(x)

A:

Q: If g(x) + x cos(g(x)) = x*, find g'(0). %3D = (0), 6

A: NOTE: Refresh your page if you can't see any equations. . take x=0

Q: Find g'(x) given that g(x) = x° cos(Tx) os (πα)

A: Given,  g(x)=x3cos(πx)

Q: Find f. f '(t) = 6 cos t + sect, -x/2 <t< x/2, f(x/3) = 5 %3D

A:

Q: Find g(x) given that g'(x) = cos x and g(π/2) = 4.

A: Given; g'(x) = cos x and g(π/2) = 4.

Q: Find E(g(X)) where g(x) = x² + x + 1. %3D

A: The E(g(X)) can be calculated as E(g(X)) = E(x2 + x + 1) = E(x2) + E(x) + 1

Q: Use differentials and the graph of g′ to approximate                                        (a)…

A: From the graph g'(3)=3 Given that g(3)=8

Q: Let h(x)=f(x)/g(x), where f(x)=ln(4x^2−3x) and g(x)=3x−1. What is h′(x)?

A: Therefore,

Q: Determine Rn(x) for f(x) = 1ln(x) about x = e

A:

Q: Man of X = Avenge f= ELK) H.w prove that E (x-x) =0 Hint 又=E(x)

A: to prove EX-X=0 using the property of Expectation  EX+Y=EX+EY therefore, EX-X=EX-EX now let Xi be a…

Q: Find the most general antiderivative of the following function. g(x) = = - (1+ a²)-1

A:

Q: Use the Rules of Logs to expand, then find f'(x) given f(x) = ln V. ex X (x + 3)5

A:

Q: Using the generating function, prove the following relation Ph+1(x) + Ph-1(x) = 2xP(x) + P (x) %3D

A:

Q: Q5) Find f((s) if you know that g(x) = cos(x² – 1). S(x) = 3tan(x*) at vr?

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: If  g(x) + x cos(g(x)) = x5,  find  g ′(0).

A: Given equation g(x)+xcos(g(x))=x5     ......(1)

Q: The function h(x) can be expressed in the form f(g(x)), where g(z) = (z+ 4), an I+4 is defined as:

A: Given: h(x)=1x+4 g(x)=(x+4) To find: f(x)

Q: Let k be a fixed positive integer. The nth derivative of 1/(xk − 1) has the form Pn(x)/(xk − 1)n+1…

A: Given: nth derivative of 1xk-1=Pnxxk-1n+1 Find: Pn1

Q: I find (g ∘ f)(x) by replacing each occurrence of x in the equation for_______ with_________

A: The meaning  of "g" of "f" (g ∘ f)(x) means gfx That is replace each occurrence of "x" in the…

Q: Q5) Find f(s) if you know that g(x) = cos(x - 1). S(x) = 3tan(x*) at v2

A: I am giving answer of 1st question  Please repost the another question as next question

Q: 2. For g(x) = cos³ (2x - 1), find g' (#). %3D –

A: topic - derivative of a function

Q: Given g(x) = [(4x^2 + cosx)/6]^6, evaluate g'(x)

A:

Q: find for f(x) =|x| . [-x , a] - IT - .a 0.b0 T.cO 2n.dO

A: We have to solve given problem:

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

A:

Q: Verify that f(x) is a pdf. Find E X and Var X.

A:

Q: Denivate h(x) = JXen(x)

A:

Q: GIVEN: The function f:[0, 2]→ R, given by f(x) = x(x – 1)². Determine the value of c that is…

A: For mean value theorem:   If f(x) is real-valued function defined on [a,b] and   i) f(x) is…

Q: Find the linearization at x = a. f(x) = sin°(x), a = 4 (Use symbolic notation and fractions where…

A:

Q: If the pdf is 22 e&r4x² , 0<x<1 Find K.

A: The total probability is always 1. So, ∫-∞∞f(x)dx=1

Q: Let f(x)=cos x and h(x)=2x. Find the value of (f of h)(pi/6).

A: Given functions

Q: X xp zo-zXI

A: