Section 4.3 Find the derivative of the following functions. Write in ready format first if applicable. Show all your work. 1. f(x) = 5e7x

Q: Calculate the cross product assuming u x w = (8, 9, 3) (Use symbolic notation or fractions where…

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Q: Use the graphing utility to graph the curves x = 4y² and x = = 4√//y.

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Q: Find the volume of the solid bounded above by the plane 2z = 4+x, below by the xy-plane, and on the…

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Q: The figure below to the left is a graph of f(z), and below to the right is g(x). -0.5 -0.5 0/5 What…

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Q: 76. f(x) = x², x ≥ 0

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Q: Find the projection of u = i + j + k onto v = 7i+j - 8k.

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Q: Solve the general solution of the following: A. (4D^5 - 8D^4 - 17D^3 + 12D^2 + 9D)y = | I

A: As per guidelines we can solve maximum 1 question at a time. Please repost the other question and…

Q: (In x)² X dx

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Q: (-3, 3)- y ₁ x=y²-4y x=2y-y²

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x² + 2 and y…

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Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

A: To find the half life .

Q: 76. f(x) = x², x 20

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Q: Evaluate the following integrals. / 7²(7²2+27+3) 2. dr

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Q: Evaluate the limit in terms of the constants involved: 9(x+h)²-9x² h lim h→0 ←

A: Given limit limh→09( x + h )2 - 9x2h

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Q: A state charges polluters an annual fee of $20 per ton for each ton of pollutant emitted into the…

A: A state charges polluters an annual fee of $20 per ton for each ton of pollutant emitted into the…

Q: Use the definition of continuity and the properties of limits to show that the function is…

A: Given f( x ) = x + x + 4       ,    [ 4 , ∞ )

Q: The curves r₁(t) = (2 sin(t), 4 cos(t), e³t) and 72(t) = ( 7 ln(t), 4√t, t²) intersect at Doint (0,…

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Q: 31. A quarterback throws a football with angle of elevation 40° and speed 60 ft/s. Find the…

A: (31)  given angle of elevation is 40°speed is 60 fts

Q: Suppose s=1³-91²+ 241 – 5 (meter) is the position of a particle at any time t (seconds). Determine…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Given the function P(x) = x3 + 3x²-x-3, find its y - intercept and x - intercepts

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Q: Find all values of x at which the function x-8 x² - 6x +8 f(x) is not continuous. =

A: f(x)=x-8x2-6x+8for function is not continuous put x2-6x+8=0

Q: 35. (AP Study) The number of rabbits on an island during a measured five years period of t was found…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given specified axis. y…

A: Introduction To find the volume you can also use the definite integral to find the volume of a…

Q: Solve: 562 Ox=-3 x=3 Ox=5 x=-5 bri a_2logg (x+2) = logs (2x +19)856 PADO

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Q: Find the volume of a solid obtained by rotating the region under the graph of the function f(x) = 27…

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Q: Use truth tables to check if the given pairs of formal propositions are logically equivalen and…

A: A detailed solution is given below.

Q: 2-2 lim f(x) = f(2)= Is f continuous at 2? (YES/NO)

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Q: The graph of g'(x), the derivative of a function g(x) is pictured below on the closed interval [-9,…

A: Let's find interval of function increasing.

Q: Suppose the coefficient matrix of a linear system of eleven equations in eleven unknowns has 11…

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Q: Find the equation for the plane through Po(5,4,3) perpendicular to the following line. x = 5-t, y =…

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Q: Name: -1 2. The graph of sin(x) is transformed to produce the function f(x) = f(x - 2) Sketch one…

A: We have to sketch the transformed function.

Q: 4. The graph of f'(x), the derivative of a function is shown at right. Which of the following…

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Q: Use any method to find the relative extrema of the function f(x)= |5 – ?|. NOTE: Enter the exact…

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Q: Find the volume V of revolution about the x-axis for the region under the graph of f(x) = √√x4 + 1…

A: We need to find out the volume of revolution.

Q: 3. a) Graph the given piecewise function f(x). 4x + 3, x≤ 0 (-x+1, x > 0 f(x) = -7 -6 -5 -4 -8 -R -1…

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Q: Find all values of x at which the function f defined by f(x) = x-5 ²-7x+12 is continuous, expressing…

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Q: Use the definition of continuity and the properties of limits to show that the function is…

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Q: Find the values of x for which the given function is concave up, the values of x for which it is…

A: Given function is y=-x6+6x5-6x+19

Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator…

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Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

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Q: Find the first and second derivatives 1 6 584 5s = 3 4s

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Q: Find k so that f has a relative extremum at the point where x = 8. k √ ( x ) = x² + 4/2

A: Given,           The function is fx=x2+kx and f has a relative extremum at the point where x=8.To…

Q: O O 6. Which expression is equivalent to log.m* + 2log¸m* O log, m x² +7% log, m² 4x+14 3x+14 log,…

A: Explanation of the answer is as follows

Q: The rectangular coordinates (x, y, z) of a point are given. Find the cylindrical coordinates (r, 0,…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = -6 x…

A: Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of…

Q: Consider the function y = f(x) = x² + 7x + 10 and the x-value xo (a) Find a formula for the slope of…

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Q: Evaluate the limit in terms of the constants involved: lim (9t - 4at +4a) = −27+16a −27+16a((−3))…

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Q: Write an equation in slope-intercept form for the line with y-intercept 5 and slope

A: Given: The y-intercept is 5 and the slope is 23

Q: Solve the differential equation: : tan²(x). dy dx The curve passes through point (0, 0).

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