8x-7 4. Let f)7x + 10 (a) Find f (x). (b) Find thedomain of/. (c) Find the domain of f (d) Find the range of

Q: Use the limit definition to compute the derivative of the function f(t) = ^ at t = -3 4-t (Use symbo...

A: The derivative of the function f(t) is computed.

Q: See attachment

A: The expression is given by

Q: Find the asympototes of f(x)= x4-2/x3+1

A:  f(x)= x4-2/x3+1 We can find the vertical asymptotes by finding the values that make the function un...

Q: Find the difference quotient (x) - f2) when f(x) = 5 + 2x - 6x2. Simplify the expression fully going...

A: We use the difference quotient formula and plug values in it then simplify.Answer: -6x-10

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few t...

A: The given sequence is {6, 9, 12, 15, 18, …}.

Q: Let ?(?)=2?2−3?−8. The secant line through (2,?(2)) and (2+ℎ,?(2+ℎ)) has slope 2ℎ+5. Use this formul...

A:      The equation of the curve given is

Q: Find f'(x) for f(x)= x3(x4+7)5

A: Obtain the derivative of f(x) as follows.

Q: Please see the attached

A: Given,Inner radius of shell is 9 mm.Outer radius of shell is 9.2 mm.

Q: Can you help me step by step with this problem?

A: Obtain the first derivative of the given function as follows.

Q: An economist has determined that a certain country's gross domestic product (GDP) is approximated by...

A: The change in country GDP can be obtained as follows.

Q: sec 0 1 23. lim ө 00

A: The given limit is

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A: For the function y=Asin(Bx+C)+DAmplitude =magnitude of APeriod=2pi/BPhase shift=-C/B

Q: See attached

A: Given,           Amplitude = 16 m           Period = 8 minutes.           Since,  at t = 0 its displ...

Q: If f(x)=x+4 and g(x)=x−4,   (a) f(g(x))=   (b) g(f(x))=   (c) Thus g(x) is called an

A: Given,

Q: For function z = f(x,y) where f(x,y) = 4−x2-2y2 , we compute that fx(1,1) =−2 and fy(1,1) = −4. We h...

A: The problem concerns vector and scalar equations of lines and planes associated to the given surface

Q: Find all points (x,y) on the graph of f(x) 2x-5x with tangent lines parallel to the line y 11x + 5 T...

A: Given, 

Q: lim x yields to 1  x-1/(square root of 4x +5)-3

A: As the given limit is not legible, the limit is computed in 2 cases. Obtain the limit as follows.

Q: see attachment

A: The given function is y = 4cos(3x/4) which is in the form of y = acos(bx).Here, a = 4 and b = 3/4.Co...

Q: Find the equation of the tangent line to the function f(x) 8vx - 4 at the point (64, 60). Provide yo...

A: Calculate the slope of the given function;

Q: see attachment

A: Theorem:

Q: Explain why the system cannot be solved by matrix inverse methods. Discuss methods that could be use...

A: a) First try to solve the given system by inverse method.Given system of linear equations,

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the regi...

A:

Q: Can you help me step by step with this problem?

A: Apply exponent rule for the exponent then use chain rule Exponent rule: d/dx(x^n)=n*x^(n-1)Chain rul...

Q: Regard y as the independent variable and x as the dependent variable and use implicit differentiatio...

A: The given equation is x3y2–x3y+4xy3 = 0.

Q: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 3 inch(es) per h...

A: Given: The radius of the spherical snowball is shrinking 3 inches in a hour.To find the numerical va...

Q: lim sin2x/ x            x--->0 lim tanx/tan2x       x---->0

A: Multiplied the numerator and denominator by 2When x->0 then 2x->0Answer: 2

Q: See attachment

A: Interest rate= 3.75%= 0.0375Principal=$3600time= t yearsFinal value= ynumber of times it compounded ...

Q: For the function f(x)=2x2−4x+6, evaluate and fully simplify each of the following. f(x+h)= f(x+h)-f(...

A: Given, 

Q: Use the limit definition to compute the derivative of the function f(x) = 21x3 at x = 1. (Give your ...

A: We use the definition of limit to find the derivative. Answer(a): f'(1)=63

Q: See attachment

A: The given polynomial is h(x) = x3–7x–6.It is given that, 3 is a zero of the given polynomial.Use the...

Q: See attachment

A: The given function is a rational function, the vertical asymptotes are the undefined points also kno...

Q: See attachment

A: Given,

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A: The given equation of the curve is given below

Q: See attachment

A: To determine the trigonometric function for each of the graphs.

Q: See attachment

A: To find the amount present in bank after time t years we use the below formula:where,P = Principal o...

Q: Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above sea level, the air...

A: Given function, 

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A: Consider the given function:

Q: See attachment

A: Given:

Q: Write the formula for the derivative of the function. f(x) 12x4 19x3 4 f'(x)

A: The function is given by,

Q: A large koi pond is filled from a garden hose at the rate of 11 gal/min. Initially, the pond contain...

A: Given,

Q: V Show a c om le te solution 1/ 7 - +2

A: Given: -

Q: The graph of a linear function f is given y х (a) Find the rate of change of f. (b) Express f in the...

A: Let the points be

Q: 3. (a) Give the equation of a polynomial function with the indicated zeros and multiplicities. 6 mul...

A: If "a" is a zero with multiplicity k then (x-a)^k is a factor of the polynomial.-3 has multiplicity=...

Q: a.) Express the statement as an equation. (Use k as the constant of proportionality.) H is jointly p...

A: a) Express the statement as an equation.

Q: The function w gives a person's weight t weeks after she begins a diet. Write a sentence of interpre...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: See attachment

A: From the given figure, the height of the triangle can be obtained as follows.

Q: Calculus Question

A: The given limiting problem is

Q: The units of f'(t) are m3/s. What does f(t) measure? Give a real world scenario that could be modele...

A: f'(t) = df/dt unit of it is m^3/sUnit of t or dt is sec So, unit of f(t) must be m^3.

Q: Find the average rate of change of f(x)=8x2−6 on the interval [5,t]. Your answer will be an expressi...

A: To express the average rate of change as a function of t, for the given data

Q: Water is poured into a conical paper cup at the rate of 3/2 in3/sec(similar to Example 4 in Section ...

A: Given that the conical paper cup is 6 inches tall (h) and the top has a radius (r) of 4 inches. Then...