f(x) = 4x - 3, g(x) = 5x2 - 2.Finda. (f ∘ g)(x)  b. (g ∘ f)(x)  c. (f ∘ g)(2)  d. (g ∘ f)(2).

Q: in is [- 12,12]. d the critical points, differentiate the function with respect to x. Use the produc...

A:

Q: Gravels are dumped from a conveyer from a height above at the rate of 1 cubic meter per minute. Thes...

A:

Q: Differentiate the function. 8x2 + 8x + 2 y = V X

A:

Q: A population of six beavers has been introduced into a new wetlands area. Biologists estimate that t...

A: population of beavers, y = y(t)y(t) = Le-Cee-ktGiven:at t =0, y(0) = 6andat t =3, y(3) = 12to find y...

Q: Find the equation for the tangent line to the curve y = f(x) at the given x-value.   f(x) = (2x + 3...

A:

Q: Factor​ P(x) into linear factors given that k is a zero of P.P(x)=x3+7x2+7x-15; k=-5The factorizatio...

A:

Q: Find the derivative of g(x) = In(sin²(ed/x)).

A:

Q: (3x – 4)8 Find the derivative of 9(x) = (4x² + 3)

A: Quotient rule of differentiation:  

Q: Find the values of the trigonometric functions of from the information given.

A:

Q: The radius of a sphere is increasing at a rate of 3 inches per minute. Find the rate of change of th...

A: Given, drdt = 3 inchmindVdt = ?    when r = 10 inches.

Q: The radius of a sphere is increasing at a rate of 4 inches per minute. Find the rate of change of th...

A:

Q: Let f(x)= (25-x^2)^1/2. Find the linear approximation of f(x) at a=3, and then use the linear approx...

A:

Q: Use the basic integration rules to find or evaluate the integral

A:

Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:20 p.m. it reads 50 mi/h. Show that at some tim...

A: let the initial velocity of a car is v1=30 mi/h( at 2:00 pm)the final velocity of car is vf=50 mi/h ...

Q: Find the area of the surface. The part of the plane z = 9 + 2x + 5y that lies above the rectangle [0...

A: Given: The part of the plane z=9+2x+5y that lies above the rectangle0, 9×1, 6. To Find: Area of Surf...

Q: You are stationary on the ground and are watching a bird fly horizontally at a rate of 10-. m The se...

A: Consider the given conditions. To make the diagram from the given conditions,    

Q: Given y In(x + Vx + 27 answer the following: a) y' b) Write the question of the tangent line at the ...

A:

Q: Solve quadratic equation using the quadratic formula. 3x2 = 6x - 1

A:

Q: Write cos 0 in terms of sin 0, for 0 in quadrant III.

A:

Q: Fill in the blank/s : We can rationalize the numerator of [√(x + 7) - √x] / 7 by multiplying the num...

A: To rationalize the numerator of      x+7-x7                

Q: Does y = e9-x - 2 exist? What is the domain & range of the function if it does exist? %3D

A: We'll answer the first question only since the exact one wasn't specified. Please submit a new quest...

Q: In a chemical reaction, a compound changes into another compound at a rate proportional to the uncha...

A: Given: dydt=ky

Q: x2 – 1 Find the equation of the line tangent to y = at the point (2, 1). Write your answer in slope ...

A:

Q: If x, y, and z are lengths of the edges of a rectangularbox, then the common length of the box’s dia...

A:

Q: Let r(x) = f(g(h(x))),where h(1) = 2, g(2) = 3, h'(1) = 4, g'(2) = 5, and f'(3) = 6. Find the value ...

A:

Q: Find the average value gave of the functiong on the given interval. g(x) = 4/x, [1, 27] 9ave

A: The formula for the average value of the function gx over a given interval a,b is, gave=1b-a∫abgxdx ...

Q: Find ∫(tan3 x/ √sec x) dx.

A:

Q: Use the graphs of f and g (see attached) to evaluate the composite function : (g ∘ f)(0)

A:

Q: Evaluate the expression log 3√10 without using a calculator. If evaluation is not possible, state th...

A:

Q: A particle moves with position function s(t) = (t2 + 1)e-t , t ≥ 0. Find the particle’s velocity and...

A: Consider the given position function, st=t2+1e-t,   t≥0 The rate of change of position function st i...

Q: find ∂z/∂x   sin(yz) = z − x

A:

Q: find lim delta -> -4, tan(delta + 4) /5delta+20

A:

Q: Use the product and/or quotient rule to find the derivative. f(x) = (2æ – 1)(4x + 5)

A: Product rule is u*v'=u'v+uv'  

Q: Find the midpoint of the line segment with the given endpoints: √18, -4) and (√2, 4)

A: Given endpoints of a line segment are 18,-4 and 2,4 We have to find midpoint of the line segment. Mi...

Q: Using linear approximation, estimate cos(29 degrees)

A:

Q: The function f is defined by x – b f(x) = x² – a² (a) Evaluate lim,za f(x) supposing a + b. Again, n...

A: fx=x-bx2-a2 a). limx→afx=limx→ax-bx2-a2=a-ba2-a2=a-b0=∞             ∵a≠b⇒a-b≠0

Q: ft3 The height of the Water is draining from a right circular cone-shaped funnel at a rate of 0.02 s...

A:

Q: Question-based on, "Find all the angles".   I have tried it but it is incorrect...   Any help would ...

A: To find all angles θ between 0∘ and 180∘ satisfying the given information. sin(θ)=32

Q: f(x) = x4 − 16x3 + 72x2 + 8   (a) Make a sign diagram for the first derivative. (b) Make a sign diag...

A: Given: The function fx=x4-16x3+72x2+8 To sketch: (a) Sign diagram for the first derivative of given ...

Q: Find the limit of the sequence. 4n2 a 2 n* + 3

A:

Q: Show the figure or model of a rectangular object 25 m wide is to pass under a parabolic arch that ha...

A: given that Parabolic arch has a width 32m at the base and height 24m at the center Vertex of parabol...

Q: The minute hand of a clock is 15 cm long and the hour hand is 12 cm long. How fast is the distance b...

A: Given: The minute hand of a clock is 15 cm long and the hour hand is 12 cm long. To find: How fast i...

Q: Calculus Question

A: Given: y1=x4y2=x7

Q: с) у-(3х+5) (* -4) Simplfy.

A:

Q: 4) Find the following derivatives using derivative rules, not the definition. a) f(x) =x -3F+5

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.