x 29. f(x) 1 + e* Find f'(x) and f" (x).

Q: 5. Solve the exponential or logarithmic equation. (a) 411rt3-64 0 Gு) log,r +log,(-5) * (c) 148+5 ++...

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

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A: To represent the given function graphically and identify its domain and range

Q: A boat in a river travels downstream between 2 points, 50miles apart, in 1 hour. The return trip aga...

A: For the boat's first trip, i.e. the boat travelling downstream will have the speed of the current ad...

Q: 2.3 - Can you show the steps to solving this problem? Differentiate. (33) y = (t^3 + 3t)/(t^2 - 4t +...

A: Please see the white board for the quotient rule of differentiation. In this case f(x) = f(t) =  t3 ...

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A: Given equation is,       

Q: Please use Limits this is under calculus section

A: When x = 2, y = g(x) = 4 / (x - 1) = 4 / (2 - 1) = 4Hence, the point of tangency is (2, 4)

Q: Please answer all of the questions

A: Given,

Q: Can you please answer 8,9,10,12, and 13 and the x and y intercept

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Set up a definite integral to find the length of the curve  y= (3/4)x(4/3) - (3/8)x(2/3) over the in...

A: The given curve is,

Q: 95. Tangent lines Find the equation of the line tangent to y = eat 1 In 3. 2 Comnition containino si...

A: It is given that, y = e2x and x = ln 3/2.Differentiate y with respect to x.

Q: Find the real solutions to each equations Equation 1 x4-x3+2x2-4x-8=0 Equation 2  x4+4x3+2x2-x+6=0

A: Given equation is

Q: How would you "remove the discontinuity" of f? In other words, how would you define f(2) in order to...

A:

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A: Given,

Q: Graph the function f(x) = 5−x  and  g(x) = (1/5)x

A: Consider the given functions.

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A: Given,

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A: Given,

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists a...

A: To determine the distance between the two motorists.

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A: We know that if a+ib is zero of a polynomial, then a-ib is also its polynomial. So, zeros of the req...

Q: i need help with questions 25-37 please and thank you

A: Consider the given function.

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.

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A: Given:

Q: Use implicit differentiation to find y’’ of the equation x^2y^3=8.

A: Firstly, we differentiate the both sides of equation  with respect to x by using product rule of dif...

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A: This graph has form of either sec or csc. This graph must have y=1 at x=6pi/4 = 3pi/2And y=1 at x= -...

Q: Your company has purchased a $18,000 machine that has a useful life of 12 years. The salvage value a...

A: Purchase cost = C =  $ 18,000Useful life = N = 12 yearsSalvage Value = SV = $ 2,000Hence, annual dep...

Q: Hello, I need help with inverse functions.  Here is the question from the textbook. If g(x) = 3 + x ...

A: The given function is

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A: To determine the solution inequality and plot it on the number line.

Q: Hi,  I don't know if I got the f(2) and f(1/2) correct. Plus, I'm not sure how I should I go about t...

A: Find f(2) as follows.

Q: Hi,  How would I write this as an expression?

A: Sigma squared is used to denote the formulaof population variance which is equals the sum of x minus...

Q: Use the limit definition to compute the derivative of the function f(x) = 8x3 at x = 1 (Give your an...

A: We use the limit definition of derivative and plug the given information. Answer: f'(1)=24

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A: When it hits the ground then s(x)=0We solve s(x)=0 for x. Answer: 4 seconds

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: Section 1.5 Limits 59 Exercises 71-74, use a graphing mit (if it exists). 2+6x 7 72. lim x+2x-2 x-l....

A: Given,

Q: I need help for problem 3a. Thanks!

A: Directional derivative of a given function at the point (2,1) along the vector v can be computed as ...

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) 1 cos(h) lim h-0 7h2

A: Since the given limit is in 0/0 form if h=0 is plugged so we use the L'hopital ruleDifferentiated bo...

Q: Compute f'(x) using the limit definition if f(x) = (3x)-1/2 + 18 (Use symbolic notation and fraction...

A: Find f’(x) using limit definition for function

Q: A police car is located 40 feet to the side of a straight road.A red car is driving along the road i...

A: Let y be how far the car is up the road. Let x be how far the cop is off the road. Let h be the dist...

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A: Consider the given function: 

Q: Consider the function g(x) = cos(1/x). We will investigate the limit behavior at x = 0. c) If n is a...

A: Given function, 

Q: Please use Limits to answer this is calculus not plain algebra.

A: As per the norm, the first three questions are answered. Problem concerns the secant lines and tange...

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

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

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

A:

Q: Write the formula for the derivative of the function -4 g(x) x2 = g '(x)

A: Formula:

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A: To determine the accumulated amount at the end of 7 years if Rachel deposits $4000 in an account wit...

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

A: Given,

Q: The function p gives the number of miles from an airport that a plane has flown after t hours. (a) W...

A: Given,           The function p gives the number of miles from an airport that a plane has flown aft...

Q: Please see the attached problem. Thanks!

A: Given:

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A: In y=a*sin(bx)Amplitude= |a|And period = 2pi/b

Q: Find the real zeros if possible. Find the real zeros of f. Use the real zeros to factor f.  f(x)=4x4...

A: The given function is,

Q: For the function f(x)=4x2+2x, evaluate and simplify.   f(x+h)−f(x)/h=

A: Given function is:We need to evaluate and then simplify it.

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