Given the function f(x) = 2x +3, evaluate and simplify the expressions below. See special instructions on how to enter your answers. THIS QUESTION WILL APPEAR ON EXAM 1 AND REQUIRES THAT YOU TYPE IN OR ATTACH YOUR WORK USING THE ADD WORK BOX. %3D f(a) = f(a + h) = f(a + h) - f(a) %3D

Q: Suppose that the cost function for a commodity is C(x) = 50 + x dollars. (a) Find the marginal cost ...

A: C(x)=50+x2

Q: Can you please solve for #73?

A: 73) The graph is shown below:

Q: Solve trig equations A. Cos^2x+cosx=0 B. Csc^2x-cscx-2=0 C. 2tan^2x+4tanx+2=0 D. (3tan^2x-1)(tan^2x-...

A: Solve the given trignometric equations A) cos2x+cosx=0 B) csc2x-cscx-2=0 C) 2tan2x+4tanx+2=0   Pleas...

Q: 2. Let f(t) = In(t) measure the cost in thousands of dollars of resurfacing a parking space where t ...

A: D2 (i) The rate of change of cost in thousands of dollars of resurfacing the parking space with resp...

Q: Find  (f ∘ g)(x)  and  (g ∘ f)(x)  for the pair of functions. f(x) = x2 + 7x,    g(x) = 9x + 1 ...

A: f.gx=fgxg.fx=gfx where fx=x2+7xgx=9x+1

Q: Calculus Question

A:

Q: Solve the following differential equation with initial condition (0, 12). dy 13t dt Oy = (13t2 + V12...

A:

Q: Evaluate tan' x sec* x 3 x dx. Use the substitution u = tan x.

A:

Q: Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) = 3x − 3  ...

A: Given function 

Q: A patient pack of a drug contains 84 tablets and is designed to last for 1 month. If the patient tak...

A:

Q: Evaluate dx without using a trigonometric substitution. 9+x2

A:

Q: problem is attached! please show all work because i have a few more problems like these so i want to...

A:

Q: 1. Let 7(t) = . a. Find the unit tangent vector at t = 4. b. Write an equation for the tangent line ...

A: a. We have given r→t=t3-2t2,te4-t,2t32 Then, r'→t=3t2-4t,e4-t-te4-t,3t12 Therefore, tangent vector a...

Q: HH F Solve the following equation with undetermined coefficients. What are the coefficients of the s...

A: The detailed solution is as follows below:

Q: Draw the following graph on the interval -285° <z< 105°: y = - sin(x – 90°)

A: giveny=-sin(x-90)rewrite asy=-sin(-(90-x))y=sin(90-x)y=cosx

Q: 3. Circle the letter next to each equation if it represents a linear function. A В C 2x + 4y = 16 y ...

A: We will first produce the standard form of a linear function

Q: 12 a) Mark the two points on the graph that are needed to calculate Average Rate of Change over the ...

A:

Q: Box answer

A:

Q: problem is attached! please show all work because i have a few more problems like these so i want to...

A: The function is given by y=xx+1 Apply the chain rule ddxmn=nddxm-mddxnn2

Q: * 1 500 USD, simple interes al 6%, paid annually for ten vears

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: Use integration by parts to evaluate the integral. ∫xe^4x dx

A:

Q: 4. Use the algebraic tests to check for symmetry with respect to both axes and the origin. x - y? = ...

A:

Q: Find the solution of the following Differential Equations 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy 7) (1...

A:

Q: 1. Use an appropriate linearization to approximate V1.56. • Be sure to include justification. Be cle...

A: Let a function f(x)=x3.  Thus, the slope of tangent at the any point on the function, m=f'(x)=13(x)2...

Q: The probability that a light bulb will fail between times t=a and t=b(in months) is given by the equ...

A: Here we need to evaluate the integration by for the case "a light bulb will fail any time after 7 mo...

Q: In x Apply L'Hop rule. lim

A: We have to find the limit by using Lhospital rule.   

Q: Answer please

A:

Q: problem is attached! please show all work because i have a few more problems like these so i want to...

A: Consider the concentration function  C(t)=0.0225te−0.0467t where t is in minutes and C is measured i...

Q: This function has two terms that require you to apply the product rule as you compute the derivative...

A: ux=3x7vx=exwx=x2zx=sinx Differentiating w.r.t. 'x' to both sides in u(x), v(x), w(x) and z(x)- u'x=2...

Q: problem is attached! please show all work because i have a few more problems like these so i want to...

A:

Q: Example 8: An object experiences acceleration as given by a(t) = 20e 21 v(0) = 0 -2t %3D y(0) = 0 De...

A:

Q: Sketch the graph of

A: we have to sketch the graph of f(θ)=-32sinθ2

Q: What would you substitute the integrand with in order to evaluate cos(29x) cos(31x) dx? (Do not eval...

A: The detailed solution is as follows below:

Q: Test the following series for covergence or divergence using the COMPARISON TEST

A: We test the given series for covergence or divergence using the COMPARISON TEST

Q: Use the rules of differentiation to find the derivative of the function. f(x) = Vx f '(x) = %3D Need...

A:

Q: 2) Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. The area of ...

A:

Q: Use the rules of differentiation to find the derivative of the function. y = -10 y' = %3D

A:

Q: dy y = x3 e2. Show that dx 1. Consider. (3x2 + 2x4)eʻ and then find the second dy derivative dz2

A:

Q: sec? =(3),4 = 2~/2+3, find h(1). 4 If k'(t) = sect+cost and if %3D

A:

Q: Evaluate the following integrals using proper substitution: S sin? x cos3 x dx Hint: rewrite the int...

A:

Q: Evaluate the integral by making an appropriate change of variables.   8 sin(81x2 + 81y2) dA, ...

A:

Q: Find two positive integers such that the sum of the first and five times the second number is 2000 a...

A:

Q: evaluate the integral: r^x/-5+r^x dx

A:

Q: Test the following series for covergence or divergence using the LIMIT COMPARISON TEST

A:

Q: Find an angle 0 with 0 degrees &lt; 0 &lt; 360 degrees that has the same: (sin) as 40 degrees: 0 = (...

A: Given problem is : Find an angle 0 with 0 degrees &lt; 0 &lt; 360 degrees that has the same: (sin) a...

Q: Before attempting this problem, study the paragraph in Section 2.2 of your textbook, whose title is ...

A:

Q: A commodity has a demand function modeled by p=114-0.5x and a total cost function modeled by C=40x+3...

A: Profit is calculated by subtracting the cost function from the revenue function, both expressed in t...

Q: 1) Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 4...

A: As per the company policy i can answer only first question for you, More than that leads me towards ...

Q: Complete the table to find the derivative of the function. Original Function Rewrite Differentiate S...

A:

Q: Plot the inverse of the function shown on the grid below. Be sure to plot the dots (points) as well ...

A: Here plot of a function is given in the question, we have to find the plot of the inverse of the giv...

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.