Which one of the following could be the graph of the polar function r = 1 + 2 sin ? 1. 013 2. P .........

Q: 1 Evaluate: ſ¹_xeª dî 0 -∞ O None of these ∞

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A: Let's solve given diffential equation.

Q: differential equation: hand side (2x4 - 3y)dx + (-1x + 4y¹ )dy = 0 First: My(x, y) = If the equation…

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Q: Find a particular solution to the nonhomogeneous differential equation y" +25y = cos(5x).…

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Q: ow would you solve #57

A: a. to find minimum value , differentiate the function and equate to zero.

Q: 37-38 Explain, in terms of linear approximations or differen- tials, why the approximation is…

A: We are required to prove that 4.02  ≈2.005 using the method of linear approximations

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Q: can be written in differential form: where M(x, y) = y − 3y³ = (y² + 4x) y M(x, y) dx + N(x, y) dy =…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 3x -X²³- + 4 y…

A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and…

Q: Box office revenue at a multiplex cinema in Paris is R(p) = 3600p - 4p³ euros per showing when the…

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Q: The Pear company sells pPhones. The cost to manufacture a pPhones is C'(x) - 2422 +54000x + 21038…

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Q: Solve the differential equation = y²ex dy dx

A: Given, dydx=y2ex

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Q: The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata,…

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Q: Given the surface f(x, y) = -+2 ln y, and the point P = (-1, 3) 4 -) Find the rate of change of fat…

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Q: The position of a free-falling object is given by s(t) = -4.9t² + vot + so where s(t) is measured in…

A: Note : As per our Guidelines , we can solve first three subparts .Please repost remaining subparts .

Q: Approximate 181/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

A: We need to approximate value.

Q: 8 1. r = sin 20 2. r = cos 20 3. r = sin 40 4. r = cos 40 5. r = sin 30 6. rcos 30

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Q: Find the derivative of: 9 sin² (4x²). 2 Hint: sin²(x) = [sin(x)]².... ...so use the chain rule…

A: Let's find derivative of given function.

Q: 65. Find limx→ f(x) if 23m 4x - 1 intox ob vdW for all x > 5. · <f(x) < S+x81 4x² + 3x 2 x²

A: Here we have to find the limit.

Q: tegral. (b) (d) Jo TT cos¹ (2x) dx tan an³ x sec x dx

A: Given query is to find the value of the integral.

Q: If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the…

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: I am attaching image so that you understand each and every step.

Q: Locate the points given in polar coordinates by P(2, ¹T), Q(2, 5₁), R(3, ½T) 6 among

A: NOTE: Refresh your page if you can't see any equations. . . the x and y coordinates are given by…

Q: Use logarithmic differentiation to find the derivative of the function. y'(x) = y = x³x

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Q: EVALUATE EACH 1) lim √x ².9 x 3 x-3 11m sin ³ x 3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1) Cindy has 185 feet of fencing to build a rectangular dog run. She plans to build it against an…

A: we need to find out the length, width and maximum floor area.

Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a…

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Q: Use the method of reduction of order to find a second linearly independent solution 32 (a) (b) x²y"…

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by x2 compare this DE…

Q: The force on an object is F=- 24j. an for the vector P = -40i+ }, Find a) The component of F…

A: Given the force vector  F→=−24j

Q: Find an equation of the tangent line to the curve at the point (1, 1). y In(xex*) y =

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Q: A $360,000 building depreciates over time. The value y of the building after x months of use is…

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Q: from the point (-2,-40) to the point (2,40), you'd have to compute where a = b= and f(x)= = y = 3x³…

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Q: Using the graph given below, state the value of f(3). y 4 2 0 2 4 If the value does not exist, enter…

A: Given the graph of a function

Q: Directions: Consider the following function f(x). Use the logarithmic laws to rewrite this function…

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Q: Helium is pumped into a spherical balloon at a constant rate of 3 cubic feet per second. How fast is…

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Q: Please graph the ellipse (x+3)^2/4 + (y-4)^2/16 = 1 Please name the coordinates of the center,…

A: The given equation of the ellipse:x+324+y-4216=1which can be written as:x+3222+y-4242=1

Q: A kite 50ft above the ground moves horizontally at a speed of 4ft/s. At what rate is the angle…

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Q: Box office revenue at a multiplex cinema in Paris is R(p) = 3600p - 8p³ euros per showing when the…

A: given that,R(p)=3600p-8p3 and p=7use the linear approximation to estimate ∆R

Q: 23-24 Find the local maximum and minimum values of f using both the First and Second Derivative…

A: To find the local maximum and minimum values of f by using both the First and Second Derivative…

Q: Find the sum of the convergent series. (Round your answer to four decimal places.) n=1 (sin(1))" X

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Q: Given f(x) = x+1 -3x - 6 and g(x) = 2x - 10, the domain of is all real numbers except x = f(x) g(x)

A: Here we have to find the domain of function.

Q: find ab if |al=5 161=7 and the angle between a and 6 is 1/9 radians 9₁6=1

A: Given query is to find the value of a.b

Q: Find the derivative of the function. Simplify if possible. y = arccos (e³x) y' =

A: Solution : Given that

Q: d²y(t) dt2 dy(s, t) Differential Equations + y(t) dy(t) — 2y(t) = 4x(t) - y(s, t) = dx(s, t) Linear…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Differentiate the function. g'(t) = g(t) = In t(t² + 1)8 3 4t 1 -

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Q: dT At a certain moment, the temperature in a snake cage satisfies = 0.008 °C/s. Estimate the rise in…

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Q: Icc cos(x) + sin(x) dx

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Q: True or false: the limit as x approaches infinity of (x^2-x) =0

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Q: What is its value after 7 years? (Round your answer to two decimal places.) $3911.83 X

A: Given query is to find the value of the machine after 7 years.