Find the simplest functions f and g for which (fo g) (z) = tan (22 + 6). There may be more than one way to write this function has a composition of two functions. Use "How did I do" to determine the desired composition. f (x) = g(2) =

Q: y = (3x + 4)², solve for y' using derivative of nth power.

A:

Q: 1. A hemispherical bowl of radius 10 m is filled with water. There is a small hole of radius 10 cm a...

A:

Q: Quèstion 5 Find an equation of the sphere that passes through the origin and whose center is (-10, 1...

A:

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on th...

A:

Q: Directions: Answer the following. Show your solutions. 1. A. Name two angles (one positive and negat...

A: The coterminal angles are angle of a given angle by adding or subtracting 360° or 2π to it.  (A) (1)...

Q: Suppose that f(2) = -4, g(2) = 3, f '(2) = -5, and g'(2) = 1. Find h'(2). %3D %3D (a) h(x) = 4f(x) –...

A:

Q: Given f(20) = 6, g(20) = 10, f'(20) = – 16, gʻ(20) = 15. Answer the questions below: %3D %3D a) k(x)...

A:

Q: Given the function f (x) = x³ – 12x² + 40x - 18, determine all coordinate points (x, y) on the graph...

A: The objective is to find points (x,y) on the graph of f so that the line tangent to at the slope of ...

Q: The equation of the sphere with center (7,-3, 1) that touches that y-axis is OA. :-7° + (y +3)* + (z...

A:

Q: Once upon a time, a certain hermit wants to design a reactor using a radioactive material A* that wi...

A: Here we will use the decay law of the radioactive material for generating the differential equation....

Q: Find the particular solution of 3x*ydx – (x³ + y³)dy = 0 given y(1) = -2.

A:

Q: Question 22 Details A machinist is required to manufacture a circular metal disk with area 787 cm. G...

A:

Q: - Ixy cosx? - 2yy t|] dx + [ Sin x? - x2] dy= O

A:

Q: Evaluate the function at the given value of the independent yariable. Simplify the results. f(x) = x...

A: I have done solution in detail and step by step...also mentioned formula that I have used....hope no...

Q: -80 If g is a continuous function on [-80, 0] and g(t) dt = V41 Then the value of the integral 22 1+...

A: Question is solved.

Q: Classify the following differential equation by type, order, and linearity. d3 y dt y (1– 2x) dx4 +y...

A: Detailed solution of given problem solved below

Q: Verify that y = 4+ C2x + C3xlnx + 4x² is a solution of x³y"'' + 2x²y" – xy' + y = 12x² %3D

A:

Q: Evaluate the trigonometric function using its period as an aid. sin() 197T 3 3/2

A: To evaluate the below expression. sin19π3

Q: The inverse function of f(æ) = 4x° + 2 is %3D 1(2) = %3D

A: The given function is: f(x)=4x5+2 Now rearrange the given function and write x as a function of y.

Q: 4 4. x + Ax lim Ax-0 Ax

A: We have find the limit value

Q: Find the derivative of the algebraic functions: f(x) = x (1 - 4/x+3) g(x) = x + cot x

A: Find the derivative of the algebraic functions: f(x) = x (1 - 4/x+3) g(x) = x + cot x

Q: Problem 2. Find general solutions of the differential equations. Primes denote derivatives with resp...

A:

Q: Problem 2. Find general solutions of the differential equations. Primes denote derivatives with resp...

A:

Q: Acad Determine the domain of functions f(a) = %3D What is the domain of f? Choose 1 answer: All real...

A: we know that Domain of function is the Set of all possible inputs for the function

Q: Differentiate. R(t) = (t + et)(4 - Vt) -Vī + 2(4– Vī)(1+e') R'(t) 2t

A:

Q: When a drug is given intravenously, the concentration of the drug in the blood is C, (t) = 350 e -0....

A:

Q: Find the equation of the tangent line for f(x) = 6 tan(x) at a = %3D a) Oy = 6/3 (z -) + + 12 b) Oy ...

A:

Q: Differentiate. qx + r f(x) = Sx + t f '(x) = SX + t

A:

Q: 9 – cosh a f(x) = 9 + cosh a

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x)=-7/6x + 6,...

A: Find the slope of the tangent line to the graph of the function at the given point.

Q: Translate each of the following phrases into mathematical expression he area of the rectangle if on...

A: For the rectangle, 

Q: Consider the following. 2x2 - 3x - 14 lim X--2 x + 2 Find the limit of the function (if it exists). ...

A:

Q: Differentiate the function. y% = (5x + 1)5

A: If y=ax+bn, then dydx=na(ax+b)n-1 (By using chain rule)

Q: 1 dy y = x-'(a² + x²)z, solve for dx

A: Solve for the derivative

Q: ige view Nead ai oud 8. Determine the constants a and b such that sin x + cos a = a sin (x + b) . Us...

A: As per the company guidelines we are supposed to answer first question. Kindlyrepost the other quest...

Q: 2n +1 n+1 n=1

A: first we will check given series is convergent or not by ratio test then we will find it's sum

Q: Find the area of the triangle determined by the points P(1, 1, 1), Q( -4, -3,  -6), and  R (6,10,-9)...

A:

Q: Find the value of the composed function at the given point. If f(x) = -6x – 4 and g(x) = -2x + 4, th...

A: Solve the function

Q: Find : b e R such that 81 / sin(b)y dS 10' whereSis the part of y? + z² 4 which is between x = 3 - z...

A: ∫∫Ssin(b)y dS=8110where S is the part of y2+z2=4 which is between x=0 and x=3-z in the first octant....

Q: Differentiate the function. 1 y3= (2x +3) dy dx

A:

Q: 1. 3. 2. 16

A: Topic - addition of fractions To add fractions,they must have same denominator.if fractions do not h...

Q: Find the slope of a line tangent to the curve of the implicit function xy + 3y - 28 = 0, at the poin...

A:

Q: find the n=10O Riemann Sum approximations for the area under f (x) = 2x +1 on [1, 4]. you could use ...

A: From the left hand Riemann sum, the approximate value of the integral is: ∫abf(x)dx=∆xf(x0)+f(x1)+.....

Q: Use any method to find the relative extrema of the function f. f (x) = 40e2" – 5e". Use the notation...

A:

Q: Differentiate. (Assume c is a constant.) w3/2(w + ce") 3 z' = e" w W.

A:

Q: The area trapped by a linear function on an interval [a,b] has the shape of a right trapezoid. An ex...

A:

Q: Find the derivative of the function by the limit process. f(x)= 2/x2

A:

Q: Let f(x) = (x- 1)(a² - 7). Find all the values of a for which f'(x) = 0. Present your answer as a co...

A:

Q: 3. / sed into something with tanh (r) then let u = sech (r) (Hint: break up into sech (r) sech (x), ...

A:

Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval not...

A: