find the differential d(e5x + x5)

Q: Find all of the zeros of the function f(x) = (x²+2x − 12) (x³ +x² - 12x). If there is more than one…

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Q: Find the point on the parabola x + y^2 = 0 that is closest to the point (0, -3)

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Q: Express the following statement using absolute value notation: In an experiment, the measurement of…

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Q: Given the graph of f (x) below, what is the open interval(s) over which f'(x) is negative

A: The given graph is,

Q: 2 lim 9x² (e-3/x²-1) = X→∞ (Simplify your answer.)

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Q: Find, where y is defined as a function of x implicitly by the equation below. x³ x4y² = -2 Provide…

A: The given equation is; x3y2=-2

Q: Question sin What is y'(x) when y(x) = (4x³ + 6x)* ^? Enter an exact answer in terms of a natural…

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Q: Use logarithmic differentiation to determine r'(x) when r(x) = x'sin x

A: Given that the expression

Q: 76. Periodic motion An object moves along a line with a velocity in m/s πt given by v(t) = 8 cos Its…

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Q: A rectangle is to be inscribed in the ellipse with the following equation x² y² + 81 144 Determine…

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Q: The graph of the function f is shown. 4 2 0 -2 -4 -6 -8 -10 O-6 only For what values of c does lim…

A: the graph of f(x)

Q: Let f (x) = √√√x + 4 and g(x) = ex² + 5, then Select one: a. b. O c. O g•f = √ex² +5+4 8. 8 · f = √…

A: 1). 2).

Q: Use implicit differentiation to find dy/dx. 9. (3xy + 7)² = 6y

A: NOTE: As per our guidelines, I have solved one question (Question number 9). If you want solutions…

Q: Identify the degree, leading term, leading coefficient, constant, and the number of terms of the…

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Q: If f'(x) = 5x4, what is f(x)? (Remember the constant of integration.) f(x) =

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Q: The 4th degree Taylor polynomial for sin(x) centered at a = is given by the following. sin(x) = 1 +…

A: Rewrite asx=39

Q: Let f(x) = -20 +7x² - 3x Determine the critical values of f. If multiple such values exist, enter…

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Q: Question Find the derivative of the function Simplify your answer as much as possible. Provide your…

A: Givenf(x) = sec-1(3x²)

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 1. Find the integral O A. 0 B. 00 5 3. S 2 C. 26 du 2u E. 5 du 2u 5 2du U 2 OD. None of these 1.20⁰…

A: Given that, the following integral            ,we need to use the substitution method to obtain the…

Q: 17.)

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Q: Consider f(x) = −3+63x 15x³ + 23x² Determine the intervals on which f is decreasing. Of is…

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Q: Find the work done by a force of 18 lbs acting in the direction N35°E (this means start by pointing…

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Q: 2) The figure shows a circle with radius 1 inscribed in the parabola y = x² Find the center of the…

A: The standard equation of a circle with a center  and radius r is Given that circle center on y axis…

Q: Question 1 Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.03q² +3q -…

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Q: Vrite an equation for the hyperbola shown in the graph. The equation for the hyperbola above is=1.…

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Q: Solve the triangle

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Region is bounded by x=1−y4,x=0Rotating the region about x=61−y4=0y=−1,1Using the washer method

Q: Find the following for the vectors v = 11i +2j-10k and u = 5i + 12j. a. v•u, |v|, |u| b. the cosine…

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Q: Question Evaluate the following indefinite integral. 1- Provide your answer below: 5 7tv 49t² 25 dt…

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Q: If f is decreasing and f(x) > 0 on an interval, I, then g(x)= 1 / f(x) is increasing on I. True O…

A: Given that, If is decreasing and  on an interval , then  is increasing on .The aim is to determine…

Q: est rate (compounded each year) t years after opening with $P is given by A(t) = P (1 + 100/…

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Q: Let f be the function defined as f(x) = { 1 3x-4 for x <3 for x ≥3 Which of the following statements…

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Q: Find the equation of the tangent plane to f(x, y) = ey at the point (ro, yo) = (2,0).

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Q: Find the binomial series for the function (1 – 6x)³. (1-6x)³ =

A: Function:

Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t2 + 400t dollars per day…

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Q: Find the value of k for which the constant function (t) = k is a solution of the differential…

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Q: The function y = f(x) is graphed below. What is the average rate of change of the functio the…

A: The given function is

Q: Find the average value, fave, of the function f(x) = x³ on the interval [-1,3]. O 20 05 O None of…

A: need to know the formula for average value of   a function

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: we are given tbw function and intervals, we need to find the absolute maximum abd absolute minimum.

Q: Over which interval of a values is f'> 0? THE FREATES 10000 DE TO PREORDED 1232528287 OSTALBOTER…

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Q: Question 10 If f is odd and f is differentiable, then f' is odd. O True False

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Q: 10. The function D(h) = 6e-0.4h can be used to determine the milligrams D of a certain drug in a…

A: Question No. (10):The function can be used to determine the milligrams D of a certain drug in a…

Q: In preparation for the NEXT problem, find the derivative of the SINGLE VARIABLE function. h(x) =…

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Q: 3 is given by f³√1+16x² dx. If the curve contains the point (1,5), which of the following could be…

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Q: Evaluate the integral fix²ln(x) dx 2080 O9ln (3) - 25 ○ 9ln (3) - 26 ○ In (39)-26 + C ○ 9ln(3) + 26…

A: The given integral is x2ln(x), limit from 1 to 3.

Q: This system has a single critical point. Find and classify this critical point as to type and…

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Q: Evaluate x dS, where S is the part of S the plane 2x+y+z=4 in the first octant.

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Q: Given the equation: x² - 8x + y² + 4y = 1 Use completing the square method to convert this equation…

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Q: Evaluate the expression. (16) 3 ||

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