Find the area, A, of the region enclosed by the cardioid r = 10 + 10 cos 0. NOTE: Enter the exact answer. A =

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A: Find your answer below

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Q: ALL of the following are not types of functions except. а. one - to - many b. many - to - one c.…

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Q: a) ū =(4,8,2) and v = (1,4,6) %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: The side lengths of a triangular park are 11 yards, 13 yards, and 16 yards. What is the area of the…

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Q: 4. csc(t) = 5 with t in quadrant 2. Find the following: (a) sin (t) (b) sec (t)

A: First we find out sin(t) then we find out cos(t) then sec(t) using the formula sec(t)=1/cos(t) and…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 5…

A: Given problem:-

Q: The helix of radius R, height h, and N complete turns has the parametrization nNt 2n Nt r(1) = (…

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Q: Problem 4 A patient takes 150 mg of a drug at the same time every day. Just before each tablet is…

A: Find your answer below

Q: 1 Use the transformation u = 4x+y, v=x+2y to evaluate the given integral for the region R bounded by…

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Q: Σ (-1)"x2n (2n)! 1. For all x E R, cos x = n=0 (a) Find a power series that is equal to a cos(x²)…

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Q: Given ü= (3,7,-2) and v=(3,-1,0) find a unit vector perpendicular to i and v + v Paragraph I

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Q: Antiderivatives resulting in inverse trigonometric function x2 -dx x4 + 3

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

Q: Find dy/dx of the following function

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Q: x2+2x-8 ƒ (x) = x+3 Hole: VA: НА:

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Q: y = (5x² – 4x + 1)5 y = 7x - 4x y =ln (2x – 1)

A: Topic = Derivative

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 1/32…

A: Here, the given integral is: ∫0132∫y1512cos(32πx6) dx dy So, the region of integration is bounded by…

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A: Consider the expression  15lnx2+9-15lnx+9

Q: Describe the given region in polar coordinates. R:OsrsOOs0s (Type exact answers, using x as needed.)

A: The given region represents areashaded between two circles:x2+y2=32x2+y2=42In polar coordinates;x=r…

Q: ALL of the following are properties of continuous functions except a. h/b is continuous at x = a…

A: given

Q: 4. y = log,(x* +3x² +1)

A: y = log(x4 +3x2 +1 ) here we use chain rule for differentiation dy/dx = (4x3 +6x )/(x4 +3x2 +1 )

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Q: a) Suppose that f(4)=3 and f'(4)=-5. Find g'(4) where g(x)=Vx f(x) b) Let y=cosx-sin.x , show that…

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Q: Find the amount of an annuity with income function c(t), interest rate r, and term T. (Round your…

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Q: 18. Given the two unit vectors A= fi+ šj-k and B=-ži+ šj+ {k If 0 is the radian measure of the angle…

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Q: 2. Find the second degree Taylor polynomial of g(x) = V1 – 3x about 3, then use it to approx- imate…

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Q: Use the three methods. to Sulve the following functe , f(X) = X+ě r %3D E = 0.0001 %3D

A: f(x)=x+e-x f(x)&gt;0 for all x f(x) is never be zero for any x i.e. we cannot find an x such that…

Q: Use Alternating Series Test

A: ∑n=2∞ -1nlnnn2

Q: a cost function of C=16x2−133x+9878C=16x2-133x+9878, where CC is the cost in dollars and xx is the…

A: Given query is to find the units to minimize the cost.

Q: Explain one random and one systematic source of error in this experiment. How to reduce these…

A: To explain random and systematic source of error in experiment.

Q: 3 (9 — х?)2

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Q: Suppose the temperature in degrees Celsius over a 10-hour period is given by T(t) = - t + 6t + 36.…

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Q: dx |4 – x² 2.

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Q: Use sine and cosine to parametrize the intersection of the cylinders x + y = 81 and x? + z? = 81.

A: Find your answer below

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Q: 1 Find the exact arc length of y =÷x 2 4 - In x over [1, 2]. Show All Your Work!

A: This is a problem of finding out arc length of the function. This can be solve by using concepts of…

Q: Exercise: Show that the following differential equations are homogenous and solve. 1. (x+y³)dx+xy…

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Q: The vector parametric form of the tangent line to r(t) = (3t², ¿, t – 1) at t = -5 is

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

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Q: d(x,y) . Solve the system u = 4x + 3y, v=x+4y for x and y in terms of u and v. Then find the value…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: sec?x - dx |1- 4tan²x 1 –

A: We will solve this question using simple Integration formulae.

Q: Maximize f(x, y) = /43 - x2 - y2 %3D Constraint: x + y - 6 = 0 f(

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Q: Find the difference quotient where h+0, for the function below. s)--3x+3x-7 Simplify your answer as…

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Q: Antiderivatives resulting in inverse trigonometric function secx tanx -dx J 9+ 4sec²x

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Q: let f(x) be the function 4x^2 - 4x + 11. Then the quotient f(4+h)/h - f(4)/h can be simplified to ah…

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Q: * f(x) = x —х+ sin(x) — 1 Solve this question by the Bisection method on the topic of solution of

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Q: Find f. f"(x) = cos(x), f(0) = 2, f'(0) = 8, f"(0) = 5 f(x) =

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