The area between the two loops of the limacon r = 1+2 sin 0.

Q: Sketch the region bounded by the given curves, then find its area. y = x^2, y = 2x

A: Given,            The equation of the curves are y=x2 and y=2x.To find : Find its area.

Q: 4. What is the volume of the prism? 4.6 in 5.1 in 2.1 in 13.6 in 2.8 in

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Q: Find an equation of the tangent(s) to the curve with parametric equations E = t cos t, y =t sin t nt...

A: follow next step

Q: A. y? = 1+ a? + 22 C. a² + y? = z? %D B. y? + 22 = x? D. 22 = 4+ 4x² + 4y? %3D

A: 1. Answer : V

Q: Consider the surface. z2 = 25y %3D Identify the surface. O cylindrical surface O paraboloid O hyperb...

A: We have to identify the surface z2=25y.

Q: Use the guidelines of this section to sketch the curve. х — 5 f(x) x2

A: f(x)=x-5x2Plotting on graph on corrdinate axes

Q: Consider the function below. x2 f(x) = x2 25

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Q: Consider the sequence c= {3, –12, 48, – 192, 768, ..} - | a. What is the common ratio? b. What are t...

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Q: 7) Find cot x given : f(x)=- (simplify your answer) dx 1+csc(x)

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Q: given the system of equations: 4x(x2 + y - 11) + 2(x + y2 - 7) = 0 2(x2 + y - 11) + 4y(x + y2 - 7)...

A: We need to solve the given system of equations for x and y: 4xx2+y-11+2x+y2-7=02x2+y-11+4yx+y2-7=0  ...

Q: The distance x, in feet, between successive cars on a certain stretch of highway has the following p...

A: We have to find the probability [ P(0 <= x < inf) ]

Q: If f(x) = 4x – 6, find the inverse function. f(x) =

A: Topic:- function 

Q: 1. Evaluate the integral: SSf, xe**+y<+zt dV where B is the portion of the unit ball x² + y² + z² < ...

A: Here, the region B is the portion of the unit ball x2+y2+z2≤1 that lies in the first octant. Convert...

Q: 4. у%3D 2х—х2, y = 2x² – 4x

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Q: The region bounded by the curve x=y?, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

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Q: 6) Find a) given: y=-+ (3x' +27) (use product rule) 2x² +5 given : y = b) (use quotient rule) 3x-4

A: Since you have posted multiple questions i can do first question (with both subparts)as per our comp...

Q: 5. Find the area of the region contained inside the unit circle {x² +y? = 1} and outside the rose de...

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Q: 9. 10 Find the rate at which average revenue is changing when An accessories company finds that the ...

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Q: what is the maximum of the function g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 over the region 0 ≤ x ≤ ...

A: The given function gx, y=x2+y-112+x+y2-72 over the region 0≤x≤5 and 0≤y≤5. The required partial deri...

Q: Vaix+ Vqx dx

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Q: Let f(x) = x and compute the Riemann sum of f over the interval [7,8], using the following number of...

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Q: - 5.75 and has a focus at Write the equation of a parabola whose directrix is x = 0.25, 1).

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Q: Give an example of a series that diverges by the Ratio Test

A: Given query is to give and example of series that diverges by ratio test.

Q: function f(x) = x² ose x-coordinates are -2 , 0, and 1. 2x and draw the tangent lines to the gr 10 4...

A: We will draw the graph and the tangents. 

Q: (

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Q: 9. Use the following graph to find the coordinates of the point where the lines y =-2x+6 and y = 3x+...

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Draw the slope field for Y - 2y dx

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u. (v x w)| to determine t...

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Q: If the Reference angle was e: What are the angle in the 4 quadrants.

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

Q: Can someone explain the difference between these derrivatives as in when do you use each one and if ...

A: We have to explain the difference between the derivatives as in when we  use each one and give examp...

Q: Find dy/dx for thw following function

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Q: |lu|| = 3, Ou = 0° ||v|| = 2, Oy = 60°

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Q: (a) What is an orthogonal matrix? Determine whether or not the following matrix is orthogonal. Justi...

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Q: 10. The value of China's exports of automobiles and parts (in billions of dollars) is approximately ...

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Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below 

Q: . In (3xy) %3D х+ x5

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Q: Find the points on the curve where the tangent is horizontal or vertical. r = t - 3t, y = t?- 3.

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Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: An object is released from rest, at a height of 1250 feet above the ground. The height of the object...

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Q: Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq....

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 1 Scos 3x sin* 3x dx 1.

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Q: S 3rsinh (x²) cosh(x²)dr

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Q: Calculate sin r e at a 10 to get 15 correct significant digits. What is the 14th digit? Answer:

A: Given expression is: sinx-x We have to calculate it at x=10-6.

Q: 4) Find dy given: y (1-x)(1+ x )(1+ x³ )(1+x*) dx d'y given: y= (5x -3X7x+x) 5) Find dx

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Q: Evaluate the improper iterated integral. 1/x5 y dy dx

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Q: Find a formula for the nth term of the sequence. - 2, 1, 6, 13, 22, ... Determine the sequence's for...

A: We have to find the sequence's formula in terms of n. 

Q: Question 2 Find the left-hand and right-hand limits of the following functions and check whether a l...

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Q: 2Sino 5. AS T/H CSCO 3 TV4 2sinG A:S CSCO 3T/4 T14 CSCO aS [1asine) -cescor I do %3D 3 T/4 aS [4sino...

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Q: find the area of the Shaded Part AUsing Polar y =2X

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Q: 5. Find the point on the parabola y=2x-3x+6 where the tangent line is parallel to the line 7x+y=1.

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