Find the derivative of the following functions. Show your solution.

Q: consider the following  5^3x+1=3^x-5 a) find the exact solution of the exponential equation in ter...

A: Question: consider the following    5^3x+1=3^x-5   a) find the exact solution of the exponential equ...

Q: 4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the r...

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Q: Exercise 5. (From Ira Rosenholz in the Problems Section of the Mathematics Magazine, Vol. 60 NO. 1, ...

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Q: 5. Ollivanders is a wand shop for wizards in Hogwarts. It has been estimated that when x wands are p...

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Q: Jse the quotient property of logarithms to write the logarithm as a difference of logarithms. Then s...

A: Formula:lnab=ln(a)-ln(b)

Q: Problem 6. Consider the curve defined by y2 – 4xy + 2x? = 7y. Write the equation of the tangent line...

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Q: 33. Let R be the ternary relation on A defined by the equation x? + 5y = z. Ras a set of ordered tri...

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Q: Evaluate the iterated integral. 2 2x 10xyz dz dy dx Jo Jx

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Q: coth? (x) – csch2(x) = 1

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Q: Example Evaluate dx p:

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Q: The height (feet) of an object launched in the air t seconds after launch is given by s = - 16t + 28...

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Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find in terms ...

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 4y2, 1sy...

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Q: Given vector Á = -3î + 4ĵ and B = î + 2j. Find vector V where magnitude is 3 and the vector is %3D p...

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

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Q: Fundamental Theorem of Calculus 1. Consider f(x) = 3|x|, which is in R[-2, 2]. a. Find a continuous ...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 5. For this problem, you have to read and study the textbook pages 762- 763 about The Limit 00 8. Co...

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Q: Evaluate (x+1)2 In3x dx Then, write the coefficient of the integral: Blank 1(*+1) ³ In3x + Blank 2 x...

A: topic - indefinite integral

Q: Determine if the equation forms a circle. If so, state the radius and center. (a) a +y - 4x + 10y + ...

A: (a) x2+y2-4x+10y+2=0comparing with general form of eq of circlex2+y2+2gx+2fy+c=02g=-4⇒ g=-22f=10⇒ f=...

Q: Find the average value of f(x) = x²/35 + æ3 on the interval [0,1]. favg %3D Report all answers accur...

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Q: The Laplace transform of a continuous function over the interval | 0, ∞) is def F(e) = / ° f(x)dx. T...

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Q: 11. In the problem, t is a real number and P = ,-26 is the point on the unit circle that corresponds...

A: Topic = Trigonometry

Q: Which of these sums give the approximation to the area under the curve of y =Vx+1 and between x = -1...

A: The area under the curve y=x+1 between x=-1 and x=0 using 3 rectangles and right endpoints.

Q: carefully apply the Integral Test to determine all values of p for which the series In(n) n=1 is con...

A: Given problem:-

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: This question can be solved using the concept of rate of change of quantities.

Q: How many fraction terms are there in the partial fraction decomposition of x3 + x2 + 5 ? æ(2x – 5) (...

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Q: You record the temperature every hour from midnight until 8:00a.m. You see that the temperatures (in...

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Q: A producer of perishable product offers a wage incentive to drivers of its trucks. A standard delive...

A: We have to find the maximum time and maximum salary for the driver.

Q: Find the area of the region bounded by the spiral r= 50 for 050ST. r= 50 2 '2 (5π,π)

A: Find your answer below 

Q: solve the equation. (round your answers to four decimal places.) e^2x-8e^x +7=0 x=       (smaller ...

A: topic  - expomemtial equation

Q: VI. Give the Maclaurin series expansion of f(x) = In(2 - 3x). Determine its interval of convergence....

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Q: a. Find the absolute extrema of flx) = x2 – 3x + 3 on the interval

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Q: V4-9x2dx (Use trigonometric Substitution) Evaluate 3x Then, write the coefficient of the integral: B...

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Q: Determine the end behavior of the graph of the function. n(x) = -5(x+1)(3x-1)°(x+6) As x-- 00, n (x)...

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Q: The price-demand and cost functions for the production of microwaves are given as p = 235-x/30 c(x...

A: Question- The price-demand and cost functions for the production of microwaves are given as   p = 23...

Q: Find all the zeros. Write the answer in exact form. m (4) = 5x -x- 35x+7 If there is more than one a...

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Q: Find the number(s) b such that the average value of f(x) = 6x² – 50x + 82 on the interval [0, 6] is ...

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Q: A one-to-one function is given. Write an equation for the inverse function. X-4 v (x) = x+5 (x) = D

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Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: A news item is heard on the late news by 8 of the 144 people in a small community. By the end of the...

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Q: A small hole in a rubberized container allows of the air to 20 escape each second. What percent of t...

A: We have to find the percent of the air will remain in the container, 6 seconds after opening the hol...

Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

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Q: Find the 65th derivative of sin(x) by finding the first few derivatives and observing the pattern th...

A: Given:      y = sin x

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: 2x x² – dx 2 — Зх — 10 3.x

A: Given ∫2x-3x2-3x-10dx We know that dxndx=nxn-1 Also, ∫1xdx = lnx+C

Q: Find the exact length of the curve on the given interval. Show at least 3 steps to justify your answ...

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Q: 2. How many alphabet characters should a password be composed, making sure that there are at least 2...

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: The concentration of a certain drug in the bloodstream x hr after being administered is approximatel...

A: Find your answer below 

Q: Let f(t) = cot(t). Then f"(1/3) is

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