Find the area of the region that lies inside the curve whose polar equation is r = 3 sin θ and outside the curve whose polar equation is r = 2 −sin θ.

Q: Plot the point -2,-2 given in polar coordinates, and find other polar coordinates (r,0) of the point…

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Q: what is df=

A: As you ask about df so i am only defining it.

Q: Solve the initial value problem with y(0) - 6. at y=1exp(t) + 54 exp(7t)

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Q: Use implicit differentiation with partial derivatives (as described in Example 4 page 732) to find…

A: We will find dy/dx using implicit differentiation with partial derivatives as following.

Q: Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers…

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Q: 4. y = (arc csc 2x)

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Q: 2. Find the limit of the sequence defined by an = wit 1+ 71 2 n don

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Q: Differentiate the function. R(q) = 7 lnq

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Q: Which one of the following integrals gives the length of the parametric curve x(t) = t², y(t) = 2t,…

A: On solving this we will get :      Option (5)  is correct

Q: Find the absolute extrema of the function on the closed interval. y = 9 cos(x), [0, 2π] minimum…

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Q: Descartes' Rule of Signs to determine the possible number of positive and negative real zeros. Be…

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Q: r1/3 (a) [1¹/² r1/3 (b) [11/² X 1+9x² 1 1+9x² dx dx

A: To solve the given integrals

Q: Instantaneous rate of change of the function f(x)= 2x+3 at x=2

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Q: quations of Order One: Homogeneous Equations Instructions: Obtain the family of solution of the…

A: We can solve the homogeneous differential equation .

Q: Find dy dt dy dt at x = - 1 if y= 4x² + 4 and dx dt _ 3.

A: A detailed solution is given below.

Q: Find when dy dx x(t) 1. 2. 3. 4. 5. 6. dy dx dy dx dy dx dy dx dy dx dy || = tlnt, y(t) 1+ ln t 2…

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Q: Find the equation of the tangent line to y = e-6t at t = 0.

A: We can find the equation of tangent line in the below steps.

Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: 0 KIT √1+tan² x dx|

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Q: Find the following higher order partial derivatives. ln(x+y)=y^2+z   (A)   ∂^2z/∂x∂y= (B)…

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Q: [ (sect (sect + tan) dt

A: The given integral is sect+tant.

Q: II. For each of the following ellipses, find the center, principal axis, vertices, co - vertices,…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Use the limit process to find the area of the region between the graph of the function and the…

A: We know that limit definition for definite integral is  ∫abf(y)dx=limn→∞ ∑i=1nf(yi)Δy Where, for…

Q: 2) Form a differential equation by eliminating the arbitrary constant a and b from the equation y =…

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Q: 2. (Section 16.2) Consider - 2 6-y [ye² da dy -3 y²

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Q: Use linear approximation to approximate √/36.3 as follows. Let f(x)=√x. The equation of the tangent…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=36 the point on the…

Q: Using the Gauss-Jordan method solve the following system of equations. x – y + z = 2   7x + y – z…

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Q: verify that the function. solution to the differential and find the y=c₁e-x + C₂ e 2x is a equation:…

A: Topic = Differential equation

Q: 1 2 2 x ² 24 V 1- cos x x² < 1 7|2

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Q: Which ordered pair is in the inverse of the relation given by x2y + 5y = 9      A (2,1) B (-2,1) C…

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Q: If f(x, y, z) = 4zy², then the gradient at the point (5, 2,5) is Vf(5, 2, 5) =

A: Given that, f(x, y, z)=4zy2 Aim: Find ∇f5, 2, 5

Q: / sin sin : dᎾ

A: Concept: Integration is a strategy for combining or joining the parts to get at the total. It is a…

Q: The function decreases and the slope increases as x increases. decreases as x increases. [Note: The…

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Q: (x² + y²) ² y' = = 10 xy² POT PW

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Q: Find dy/dx when 1. 2. 3. 4. 5. dy dx dy dx dy dx dy dx dy dx x³ + 2y³ - 9xy - 1 = 0. x² - 3y X 2y² +…

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Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: Topic = Functions

Q: Find the differential of the function z=e-xcos(y) dz=___________________

A: Here we can see that z is function of x and y z=fx,y So, here the derivative of z is also known as…

Q: 8 - (₁₂).- ().- (*). - (1). , = = , U4 = -9 5 -6 Given U₁ = , compute the operations listed.…

A: We will find the required dot products for the part a, b and c as following.

Q: Find the extreme values of g(x, y) = x² + y² + x²y on the circle x² + y² : = 12 using the method of…

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Q: Find the critical points for the function f(x, y) = 2x² — 4xy + 4y² — 4y and classify each as a…

A: Given, f(x,y)=2x2-4xy+4y2-4y

Q: graph in Exercis 15. Describe the way the slope changes on the graph in Exercis 16. Describe the way…

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Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: As we know the expression for the area of the triangle is: A=12bh Where b is the base of the…

Q: Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: Plot the poin (a) r>0, -2x≤00, 2x≤0<4* Q O C. Q O D.

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Q: Approximate the area between the x-axis and the graph of f(x) = √√x + 2 over the interval [1, 3] by…

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Q: Find the critical points of the function g(x, y) = (x − 1)² + (y + 2)². List your answers as points…

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Q: 3 2 2 Given Cost and Revenue functions C(q) =q³-8q² +57q+5000 and R(q) = -3q² +2600q, what revenue…

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Q: Use linear approximation to approximate √49.4 as follows: Find the equation of the tangent line to…

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Q: Consider the function: f(x) = √5x + 8 Recall that the definition of the derivative is: f(x + h) f(x)…

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