Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible, enter IMPOSSIBLE, Enter your answers in exact form.) f(a) √g(t)-1-9 Ro(t)) Evaluate /(a(2)) Submit Answer x x

Q: The null hypothesis for a binomial test states that p = 1/5. What is the z-score for X = 29 in a…

A: We have to find the Z score.

Q: Determine the value of ksuchthatf(x) = Blank 1 Add your answer 7x=2 kx² yxs ifx > 1…

A:

Q: ex 27. Σ(−1)″ n³ (x − 7)″ n=1

A:

Q: ]: Show that the following functions are linearly dependent f₁(x) = tanx,f₂(x) = -tanx, f(x) =…

A: See the details solution in below

Q: how do I develop a model for the depth of a swimming pool as a function of the distance from the…

A: We need to develop a model for the depth of a swimming pool as a function of the distance from the…

Q: Find the distance between the parallel planes 3x-y+z=10; 3x-y+z=-3

A:

Q: Let f be the function given by f (x) = = x¹ + x³-5x² + tan (). Of the following values of a, at…

A: We have to find the point that gives greatest slope.

Q: Letf (x)=- 2x+9 ifx1 ffisnotcontinuousatx=1, Determine whetherf (x) iscontinuousordiscontinuousatx =…

A: NOTE: Refresh your page if you can't see any equations. . . the function is not defined for x=1  so…

Q: The curve y²-x²= -5x is a solution to the differential equation y = (2x - 5)/2y (A TRUE B FALSE

A: Given differential Equation,   y' = 2x-52y

Q: Let L₁ : x=1+t, y=−2+t, z = 2t; L₂ : x=2+s, y=3-s, z = s If the lines are skew, find the equations…

A:

Q: dy/dx+y/x=xy^2 use y=v/x

A:

Q: Determine the value of ksuchthatf(x) = Blank 1 Add your answer 7x-2 ifx ≤ 1 kx² ifx > 1…

A:

Q: Find the area of one leaf of the rose r = cos(4θ).

A: Given: A rose r=cos4θ To find: The area of one leaf of the given rose.

Q: C. Determine the differential equation on which the general solution is given or describe below by…

A: Since you have asked to answer question no. 4, we will solve that question.Question 4.We need to…

Q: For the function f(x) = 5x² + 4x, evaluate and simplify the difference quotient. f(x+h)-f(x) h 11

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: a. Construct a rational function whose only asymptotes are y = 4 and x = 1, and whose x intercept is…

A: Given that Asymptotes y=4   horozontal asymptotes.x=1  vertical asymptotesx intercept is 14,0y…

Q: Is the sequence an Your answer is (input yes or no) if your answer is yes, its first term is its…

A:

Q: What is the auxiliary equation associated with the differential equation y'' - 3y"'+4y=0? A n³-3m²=0…

A:

Q: For the pair of functions f(x) and g(x), find the following. 7 f(x) = —; g(x) = x² + 1 X ) f(g(x)) )…

A:

Q: The concentration C (in percent) of a drug in a patient's bloodstream. (t) hours after injection is…

A: We can find the answer in the below steps.

Q: 8) f(x)= x³ + x²; Find f(-6) 3120 - x; Find w(-4) 10) w(x)=-3x²- (2--2-2; Find 12) h(x) = 4x + 3;…

A: We can evaluate each of the function in the below steps.

Q: Solve the following differential equations. Show your complete and detailed solutions. 3. (y²sin2x)…

A:

Q: Determine the value of k such that y=4x²-3e²t is a solution to x(1-x)y"+ (2x²-1) y'+k(2x-1)y=0

A:

Q: Given the function f(x) - 4x² + 4x + 1. Find the average rate of change of f from x = -5 to x = 6…

A:

Q: The mean of the normal approximation to the binomial distribution is μ = pn. True False

A: The mean of the normal expression to the binomial distribution= E[x] = np Where, n = Number of…

Q: Question 7 What is the auxiliary equation associated with the differential equation y'"'- 3y + 4y=0?…

A:

Q: Make a table of values for the equation. y = 1 + √x X 0 1 2 4 9 16 y Sketch a graph of the equation.

A: Consider the equation  y=1+x

Q: 1. - [48 n 1 57²

A:

Q: plane region bounded above by the line y - 4. bounded below by the curvey-4-x.bounded on the left by…

A:

Q: 38. f(x) = = 1 3x - 2³ C=-1

A: We can solve it as follows for Taylor's series.

Q: According to a study, each additional year of education increases one's income by 17%. Therefore,…

A:

Q: Compute the surface area or revulsion about the x axis over the interval

A: This is a problem related to integral. Please follow the procedure given below.

Q: Verify that the conclusion of the Clairaut's Theorem holds a) z = sin(xy) b) z = sin(x - y) c) z =…

A:

Q: Consider the graph of the function /(x) below. Which of the following is true? 1. lim f(x)…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the left-hand side of the…

Q: If a is a nozero real number, then lim (A) 0 B (c) 1 1 2a² D does not exist x²-a² x4-aª is

A: Use limit concept

Q: Use the properties of natural logarithms to simplify the function. f(x) = 3x - eln x f(x) =

A:

Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 6 - 4x + 7x² f(a)…

A:

Q: y(x² +C)+2=0; y'= xy²

A:

Q: (e) y² + y x² + x dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

A:

Q: Determine the total differential dH of the function: H(x,y,z) = x^y+z

A: Given, H(x,y,z) = x^y+z

Q: Which is NOT a solution to the differential equation y''- 4y + 4y=0? A B D y=e (E 2x Ⓒy=2e There is…

A:

Q: What is the general solution of the differential equation 2y''+y'-6y=0? (A) B O E y=C₁e² +C₂e y=C₂₁e…

A:

Q: n= 1 (2n)!

A:

Q: Which of the following is an integrating factor for the differential equation dy/dx-y=1? A 2e B In x

A:

Q: Which of the following is the complete set of roots of the auxiliary equation for y"-3y+3y'-y=0. A)…

A: Given, y'''-3y''+3y'-y=0

Q: What is the degree of the differential equation (y') ² - xy"=1 ? A) 1 B) 4 (C) 2 D) 3

A:

Q: n=3 3n+ 5 n(n − 1)(n − 2)

A:

Q: 3. (y² sin 2x) dx + (1 - y cos²x)dy = 0

A: solution is given below

Q: d²y dx² 1 dy y + x dx x² = 1

A:

Q: Find L-1 (s+2)2+16 2+16³.

A: