Convert the Cartesian coordinate (– 5, 2) to polar coordinates, – 27 < 0 < 0, r > 0. No decimal entries and answer may require an inverse trigonometric function. r =

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

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Q: Logarithms. Use the laws of logarithms to expand and simplify the following expression in(2x*) 2x In...

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Q: Convert the Cartesian coordinate (6, 1) to polar coordinates, 0 0. No decimal entries and answer ma...

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Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

A: Given function= 9-x The point at which the function takes the highest value is called its absolute m...

Q: Consider the function y = -x3 + 3x² – 2. a) Find the critical points. b) Use the 2nd Derivative Test...

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Q: Find the derivative of the function. h(t) • 6 +9 h'(t)

A: Quotient Rule of differentiation :ddtuv=v.dudt-u.dvdtv2. dtndt =n.tn-1 Chain Rule of differentiation...

Q: Choose the vector has a magnitude of 6 and a direction of 0 = 150°. O(-3,3/3) O (3.-343)

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Q: = 1, when x = 0, y = 4 %3D %3D

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Q: A boat traveling with a velocity measured in meters per second is described by the vector b⇀=⟨−2,−5⟩...

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Q: Given the curve h(x)=x2−7, find the point on h(x) is closest to the point (57,−7). Enter your answer...

A: topic -curve and distance from a point

Q: - 0.13t If C(t) = 79.8t e ng of a drug in a person's systemt hours after the drug is administered, h...

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Q: Problem 2. 00 Consider the infinite series Vn +4 which we compare to the improper integral 2 dx. Vx ...

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Q: el is being dumped from a conveyer belt at a rate of 20m /min and its coarseness is such that it sa ...

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Q: Write six different iterated triple integrals for the volume of the tetrahedron cut from the first o...

A: In order to answer this question completely and clearly first we need to give six different iterated...

Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -0. (If a...

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Q: Find point c satisfying the conclusion of the Mean Value Theorem (MVT) given f(x) = x3 – 3x + 2 on t...

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Q: The distance (in km) of an airplane departing from Toronto Pearson Airport t seconds into flight is ...

A: The given question has been solved in detail. 

Q: 5. radius 2 and whose vertical cross sections are squares. Set up the integral to find the volume of...

A: Solution is written in below steps.

Q: 4x² + + ах + a + 12 lim x² + x – 2 X--2

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If a...

A: use the l hospital rule for finding the limit.

Q: Select the graph of f and f' on the same set of coordinate axes. Ax) = 2x – 3 %3D

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Q: For what value of k will the function g(x)=x^4+kx^2 have a remainder of 20 when divided by the facto...

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Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 14 cubic centimeters ...

A: For the solution follow the next step.

Q: Find real-valued closed formulas for the trajectory x(t + 1) = Ax(t), where [-0.8 A = -0.6 -0.8] 0.6...

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Q: (d) dx

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Q: According to a study, a vehicle's fuel economy, in miles per gallon (mpg), decreases rapidly for spe...

A: Find your answer below 

Q: Find the solution of the differential equation that satisfies the given initial condition. y' tan(x)...

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Q: Find the derivative of the function. (e) = (3t + 18)2/3 f "(t) =

A: dat+bndt=n.a(at+b)n-1 d(c)dt=0 , where , 'c' is constant.

Q: ds Find the function s(t) satisfying = 5-4 cos t and s(0) = 5. dt ds The function satisfying = 5 -4 ...

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Q: Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If...

A: a limx→∞ 16x2+5/7x-5 divide above and below by x limx→∞ 16 + 5/x2/(7 -5/x) now apply the limits 16 /...

Q: What determines the end behaviors of a polynomial and why? (Please explain)

A: What determines the end behaviors of a polynomial and why? 

Q: 4. t(x) = (x - 3)3 5. h(x) = -x² 6. f(x) = V=x 7. f(x) = 2x2 %3D

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Q: Find the derivative of y with respect to 0. y= 30( sin (In (30)) + cos ( In (30))) de (Use parenthes...

A: topic- derivative of a function

Q: + yž = 1, when x = 0, y = 4 dx cos(x + y), when x = 0,y =" dx

A: The objective is to find the solution of the differential equation.

Q: Calculate the volume of a bounded solid. 2) z = 5 – a*y , 1z=1 Draw the region over which we integra...

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Q: evaluate f(x)=-4x^4-4x^3-3x^2+1 to find f(-5), using synthetic division with table work. Thanks

A: Given query is to find the value of the function usinge synthetic division.

Q: y = In(4x² + 1)

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Q: Let P=(- 2, - 1,3). The find distance from the point P to the plane x+ 2y + 2z = 10. The distance = ...

A: solution:-plain: x+2y+2z=10point: (-2, -1, 3)formula for foot of perpendicular on the plain from poi...

Q: [-2 + j3 -1/3 6235°. -j d) D =

A: Given -2+3j-1/3-j6∠35First we will convert 6∠35 to rectangular formWe know that x=acosθ and y=asinθ

Q: 4 2 S[(x) dy dz 0 0

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Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

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Q: Find the linearization L(x) of the function at a. 3 f(x) = Vx, a = 64 %3D L(x) =

A: We can find the linearization as below.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: Explanation of the answer is as follows

Q: Find the inverse function of f informally. f(x) = x - 2 f-1(x) = Verify that f(f -1(x)) = x and f -1...

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Q: Consider the infinite series> Vn +4 which we compare to the improper integral dx. Vx +4 Part 1: Eval...

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Q: The force on a particle is described by 2x 1 at a point x along the x-axis. Find the work done in mo...

A: topic- definite integral

Q: find the difference quotient for: f(t)= -16t2+ 9t + 10

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Q: tan What is the exact value of sc wdw ialuulexalu fXis thrali

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Q: y=2 x=1+y e) (2y+5x) dx dy answer: 31 y=0 X=0 2x (2xy - 1)dy dx answer: 3 -1 y2

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Q: Rational function 3x +15x – 18 r(x) = X +x - 6 (a) Find its two end behaviors. (b) Find all x-interc...

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