75. f(x) = x 、77. f(x) = パ+x %3D 、79. f(x) = xーx %3D

Q: In Problems 17–22, find a polynomial function f with real coefficients having the given degree and z...

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

Q: Use the definition of continuity to determine whether f is continuous at a. f(x) =(x2 + 6)/(x - 5) a...

A: A function f(x) is said to be continuous at a point x = a, if 1) f(a) exists. 2) limx→af(x)exists. 3...

Q: If 24r-1 = 2', then. = 7. %3D

A: Given 24x-1=27

Q: 1) write the expansion of : (3a + 2b)5 , (4z – w)6 ,E-5*

A:

Q: The radius of a right circular cone is increasing at a rate of 1.5 in/s while its height is decreasi...

A:

Q: Evaluate the derivatives of the following functions.

A:

Q: - x + 1 If f(x) = find (fof) (x). X - 1

A: The composite function f∘fx is consist of two functions. Both functions are fx. We can also write f∘...

Q: 14. Find all solutions in [0, 2). tan %3D

A: We have to find all the solutions tanθ2+π3=1 on [0,2π).

Q: Interpret the meaning in the context of the problem. The range falls between | % and %. (b) What is ...

A:

Q: Skill Practice 1 Write each equation in exponential form. a. log, 9 = 2 b. log1o 1000 = -3 c. log, 1...

A: We know that, from the property of logarithm, if logab=c then, ac=b. (a) We have, log39=2 Therefore,...

Q: Suppose that F(x) = log2 (x + 1) - 3. (a) What is the domain of F? (b) What is F(7)? What point is o...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Establish the identity:

A: We know that,            

Q: For the given functions f and g, find:(a) 1f ∘ g2 142 (b) 1g ∘ f2 122 (c) 1f ∘ f2 112 (d) 1g ∘ g2 10...

A: Given: f(x) = 2x; g(x) = 3x2 + 1To find:a)f∘gb)g∘fc)f∘fd)g∘g

Q: Water is flowing at the rate of50 m3/min from a shallow concrete conical reservoir (vertexdown) of b...

A:

Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression b...

A: L-Hopital Rule  If we have limit  limx→af(x)g(x) And f(a) = 0 , g(a) = 0, which forms the 00 So,  li...

Q: Explain The Chain Rule with Powers of a Function?

A: Chain rule with exponents

Q: Find the implicit derivatives where A=4 and B=8

A: dw/dz = 1/dz/dw , when both are defined

Q: Q4. Find the slope of the tangent line to the function f(x)= e* +3; x+2 at x=4 5x-10

A: Given : fx = ex5x-10

Q: solve each inequality algebraically.

A: Given that the inequality algebraically. To solve this inequality :-

Q: Make up two polynomials, not of the same degree, with thefollowing characteristics: crosses the x-ax...

A: Here it is given that Polynomial  crosses the x-axis at - 2  touchesthe x-axis at 1, and is above th...

Q: Find all real zeros of the polynomial P(x)=6x^4-7x^3-12x^2+3x+2 by first searching for the possible ...

A: The factors of the leading coefficient (6) are 2 , 3, 6 and 1. The factors of the constant term (2) ...

Q: 3. Find the amplitude, period, and phase shift of the function. Graph the function. Be sure to label...

A: The standard for is f(x)=a.cos(bx−c) + dComparing this with the given y= 2 cos (4x + π/2), we geta=2...

Q: Using interval notation, the domain of f(x) = log, x is and the range is

A: Given function is  fx=logbx.

Q: Solve the system using substitution. X+ 2y = -6 6x + 2y = 4 %3D %3D

A:

Q: 6. Fill in each of the blanks: _ dx = x® +C. (b) x° is an antiderivative of. (c) The derivative of x...

A: x6

Q: 10. Find the exact value of the expression. (26 sec sin (Simplify your answer, including any radical...

A: w

Q: . Every polynomial function of odd degree with real coefficientswill have at least___________ real z...

A: Every polynomial function of odd degree with real coefficients will have at least  _____1_____  real...

Q: Solve the initial value problem for y as a function of x. (x² + 25) dy %3D 29, у(5) %3D 0 dx

A:

Q: Sketch the graph of if x 2 f(x) = if and use it to determine the values a for which lim f(x) exists...

A:

Q: The top of a 30-foot ladder is sliding down a wall at a rate of 9 feet per second. How fast is the b...

A: In the question it is asked to calculate the speed at which the base of ladder is going away from th...

Q: Please find the inverse of "y" and then substitute in the given value of x. Show full work

A: Hope this will be helpful.

Q: True or False The graph of a rational function may intersect a vertical asymptote.

A: If the statement " The graph of a rational function may intersect a vertical asymptote"  is true or ...

Q: For Exercises 27-36, solve the equation. Write the solution set with exact values and give approxima...

A: Our Aim is to solve the expression given below:-25y+1=4y-3 -(i)

Q: If f(x) = Vx + 2 and g(x) = does (fo g)(x) equal? which of the following 3 (b) Vx + 2 3 (a) + 2 (c) ...

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Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its ...

A: Given x(t)=2+t  and y(t)=3+12t and Tx(2,4)=2 and Ty(2,4)=5 After 2 seconds, the position of the bug ...

Q: Consider the function f(x) = 4x + ? . ll critical numbers c of f. c = oncave up for x E concave down...

A:                       Since you have posted a question with multiple sub-parts, we will solve first...

Q: Analyze the following graph of f' (x). Õver what interval is f concave down? 2 1 -4 -3 -1 4 -1 -2 -3...

A: Given  The graph of f'x  We have to find the intervals in which f is concave down.   

Q: find the terms through degree 4 of the Maclaurin series of f (x). Use multiplication and substitutio...

A: f(x)= 1/(1+sinx)  

Q: Find the derivative of f(x) = V3.x2 + 7x

A:

Q: Use Version 1 of the Chain Rule to Calculate dy/dx

A: y=5x2+11x20Chain rule:dydx=dydu.dudx

Q: How many phone numbers are possible in the (404) area code of the form ABC-XXXX if: A is restricted ...

A: number of ways in which A can be selected (2-9) = 8 ways  number of ways in which B can be selected ...

Q: Adobe Scan Mar 10, 2021.pdf Page 4 of 5 Q Q Search © Find, He volume revolution for, fa)='4-a, xE [0...

A:

Q: 8. Josh is planning to withdraw $8000 from a savings account at the end of each quarter for 3 years....

A:

Q: B f(x) A C. 3.9 4 4.2 The function in figure above has f(4) = 19 and f' (4) = 1.6. Find the coordina...

A:

Q: Use a polar double integral to find the area enclosed by the threepetaled rose r = sin 3θ.

A: The equation of the petal is given as r = sin 3θ.First, we will sketch the region. If we can find th...

Q: Find the roots of the quadratic polynomials: f (x) = x2 − 2x − 1

A: We know that, for an standard equation fx=ax2+bx+c, roots are calculated by using quadratic formula ...

Q: -1 What is the slope of the line tangent to the graph of y at x = -2?

A: Find the derivative of y to obtain the tangent as shown below: y'=ddxtan-1xy'=1x2+1

Q: A magnetic field, B, is given as a function of the distance, r, from the center of a wire as follows...

A: Graph continuity and differentiability

Q: A general exponential demand function has the form q = Ae-bP (A and b nonzero constants). %3D (a) Ob...

A: The price elasticity of demand (which is often shortened to demand elasticity) is defined to be the ...

Q: Find the exact solution of the equation. 3 cos (2x)= 2x The solution set is (Simplify your answer, i...

A: Use the inverse trigonometric ratio and their identities.