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

Q: The area of the region is (Type an exact answer, using as needed.)

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Q: Find the area of the parallelogram whose vertices are given below. A(-1,2) B(4,0) C(12,1) D(7,3) The…

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Q: Question Is the function f(x) continuous at x = 1? 6 + 0 -10 -9 -8 -7 -6 -5 -2 -1 10 1 2 7 8 9 10 -1…

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Q: Write the exponential equation as a logarithmic equation. e0.75 = 2.1170...

A: The objective of the question is to convert the given exponential equation into a logarithmic…

Q: Write an equation for the rational function graphed below. The vertial asymptotes are shown as…

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Q: Find the maxima and minima of the function f(x, y, z) = xy²z³ under the condi- tions x + y + z = 6,…

A: The given function Let

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

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Q: 0 ≤ t ≤ 1/3. Compute the line integral fry² ds where is the curve r(t) = with

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Q: 7 The rate of change of a population with emigration is given by P'(t) = 300 population in millions,…

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Q: Question 1 S |x|√ x² - 9 Evaluate Select the correct answer below: X 9 ○ ½-sec-¹ (+) + C O sec (3) X…

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Q: Find a parametrization of the line in which the planes x+2y + 4z= -4 and 2x+3y +6z= -7 intersect.…

A: The given equations of planes are

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

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Q: If s(-2) = 1 and s'(x) < −3 on [-2,9],

A: s(−2)=1 and s′(x)&lt;−3 on [−2,9], Using the mean value Theoremf′(c)=f(b)−f(a)b−a

Q: Adding a vector to the zero vector O a) preserves the non-zero vector O b) reduces the vector's…

A: The zero vector isSuppose we have a vector asOn adding the vector with the zero vector we get

Q: y = ln=+e√x X

A: The given equation

Q: Question Beginning 156 miles directly east of the city of Uniontown, a truck travels due south. If…

A: The objective of this question is to find the rate of change of the distance between Uniontown and…

Q: Find the particular solution to the differential equation given the initial condition y=2 when x=0:…

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Q: Suppose k(x) = f(g(h(x))). Given the table of values below, determine k'(-2). f(x) g(x) h(x) f'(x)…

A: xf(x)g(x)h(x)f′(x)g′(x)h′(x)−2−4−1046−7062−11−3820−5−8237

Q: Compute the curl of the vector field F = -2z7+5yj - 8x k. curl =

A: To find the curl of the vector field .

Q: If the birth rate of a population is b(t) = 2300e0.022t people per year and the death rate is…

A: The given data is:To find the area between these curves for

Q: Suzanne must choose between two job offers. The first job offers $56,000 for the first year. Each…

A: Given that Suzanne must choose between two job offers. The first job offers $56,000 for the first…

Q: Evaluate the integral. S sin (22x) cos (13x)dx sin (22x) cos (13x)dx=

A: To evaluate the following integral.

Q: Find the unit tangent vector T(t) at point P. 5 5 r(t) = (5 cos t, 5 sint, 4), P√ √√2,4) ¹(2)=

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Q: Vectors A and B form a 30° angle. A = 3 and || = 5. What is A - B? a) 36 b) 2.83 c) 6 d) 10.02

A: The angle between the vectors  isThe magnitude of the vectors are and To determine: The value of…

Q: A projectile is launched at an angle of 60° to the horizontal from 6 ft above the ground at an…

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Q: Question Given h(x) = tan(-x² + x), find h'(x). Sorry, that's incorrect. Try again? h'(x) = (2x -…

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Q: Given the three functions below, which expression equals (m o ho d) (x)? d(x) = x² + 6 Answer h(x) =…

A: Given: To Find: To determine .

Q: 12) Consider the following. (If an answer does not exist, enter DNE.) f(x)=2x³-9x² - 24x a) Find the…

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Q: The velocity function, in feet per second, is given for a particle moving along a straight line. 3…

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Q: Find af ?х af ду af дz af af 7 Әх ду ах af = = ду af = af дz f(x, y, z) = 3xy + 3xz - 3yz Find their…

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Q: Question 18 ▼ = Starting with an initial population of P(0) = 19, the population of a pride of…

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Q: -2 n=1 (2n+5)(2n+3) a) Find the first four sequence of the partial Sum that is S₁, S₂, S3, and 54 b)…

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Q: Use Newton's method to find the positive fourth root of 5 by solving the equation x4-5=0. Start with…

A: .

Q: A particle starts out from the origin. Its velocity, in miles per hour, after t hours is given by…

A: A particle starts out from the origin. Its velocity, in miles per hour, after t hours is given by…

Q: For the following​ function, ​a) give the coordinates of any critical points and classify each point…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Let f(x): = 10 - 2x. (a) Sketch the region R under the graph of f on the interval [0, 5]. y 10 8 6…

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Q: As with discrete-time dynamical systems, equilibria can act strange when the slope of the…

A: We have to graph a rate-of-change function that has a slope of 0 at the equilibrium but the…

Q: a) Find a potential function for the vector field, i.e., find a function ƒ so that F =Vƒ. b) Use the…

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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: 1 sin y Y (a) sketching the region of integration (b) then by evaluating the resulting double…

A: The given integral is

Q: A cell culture contains 4 thousand cells, and is growing at a rate of r(t) thousand cells per hour.…

A: Substitute t=5 in r(t) and solve, an then add 4 thousand to it.

Q: 32. Assume that f is continuous and S f(t)dt = sinx -x cos.x. (a) Determine f(π). (b) Find f'(x).

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Q: 60-63. Equivalent constant velocity Consider the following velocity functions. In each case,…

A: Question no. (61):To find the equivalent constant velocity.

Q: Determine the resulting definite integral after making the following substitution: Se dx where u=lnx…

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Q: Estimate the area under the graph of f(x) =3x² + 12x + 14 over the interval [0, 3] using five…

A: To estimate the area under the graph of  over the interval  by using five approximating…

Q: Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 2¹, where t is given in…

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Q: A sample of radioactive material with decay constant 0.08 is decaying at a rate R(t) = -2e-0.08t…

A: A sample of radioactive material with a decay constant is decaying at a rate of  grams per year.The…

Q: H Use Stokes' Theorem to evaluate Sc F. dr where F = (x + 6z)i + (5x + y)j + (8y-z) k and C is the…

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Q: 1 · = 1+x+x²+x³ + .…........ 1- x

A: 11−x=1+x+x2+x3+………

Q: b. y sin x at x = ЗП 4

A: To write the equation of the tangent line.