Sketch the region enclosed by the given curves. x - 6y, x- 20 + y2 VAVA -3 -2 -1 2 -10 15 -25 -15 -10 10 -15 5. 10 15 @0-3 00-3 Find the area of the region.

Q: Evaluate the given integrals. 5. S(1 – cos 0) csc²0 d0 -

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the are...

A: By using graphing utility to graph the region bounded by the graphs of the equations. Then to find t...

Q: Find f'(x) and f"(x) of f(x) = 11x³.

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Q: Consider the points A(3, -3, 5), B(5, –5, 2), C(-1, –4, 2), and О(4, 1, -8). a) Find the volume of t...

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Q: DO NOT include spaces in between 17 characters. * Compute m d (In (In y)) at y=e. dy Your answer

A: The objective is to compute the derivative at y=e.

Q: B. Balloon B has been removed from service and the radius of the balloon is decreasing at a rate of ...

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Q: A +B + C +スt X (x+D (x+1)" (x+2)

A: Using partial decomposition method

Q: A math tutor charges $30 for the first hour of work at your house and $20 for every hour (or fractio...

A: Use the value of x for finding the limit. 

Q: Evalnate the fo llowing limits 1. lim 4x-5x+1 メ→ -4x? 2. lim I x²+5x -6 X- 4 lim (1x-7)* 3. 2.

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Q: Write the expression as the sine, cosine, or tangent of an angle. tan(7/15) + tan(4z/5) 1 – tan(x/15...

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Q: Given g(x) ニ X-1

A: We know that, g'(x)=limh→0g(x+h)-g(x)hHere g(x)=1x-1Therefore g(x+h)=1x+h-1Thereforeg'(x)=limh→01x+h...

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the ezact answe...

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Q: Suppose f is a function such that f'(7) is undefined. Which following statements is always true? a. ...

A: for the define f'(7) the function must be contineous at 7 but here undefine is given so  answer is b...

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A: Find your answer below 

Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: Select ALL possible answers if there is more than one. * 1 16 Let f(x) =- ifx<- 2 . If f(x) is conti...

A: Let's find. 

Q: Instructions for forms of answers in differential equation problems: For second order DEs, the roots...

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Q: Electrical Engineering I need the answer as soon as possible

A: From the above equationxk+1=134.5-2ykyk+1=135-2xk+zkzk+1=12-0.5+ykand ,x0=0.4y0=1.6z0=0.4

Q: 3. y = at point (0, -) X-3

A: Topic = Derivative

Q: 2х2-8х+7 x 0 х-бх3

A: The given function is: f(x)=2x2-8x+79x2+5x-3, x≤0-4x3+6x2-15x-6x3, x&gt;0

Q: Let f(x) = /3r – 10. According to the definition, f'(r) = lim h0 (Enter the limit in reduced form)

A: f(x)=3x-10f'(x)=limh→0f(x+h)-f(x)h

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: Q3 : Evaluate the following integral. X4V9-x2

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Q: - Evaluate the following integral. |e2* cos3x dx

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

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Q: Find the length of the tangent to a circle from point of tangency to point (8,2) . The circle is def...

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Q: Consider the initial value problem y = sin(xt), y(4) = 1 Use Euler's Method with five steps to appro...

A: Based on the general formula of eular's method we will solve the problem. Please follow the procedur...

Q: Test II. Match the definition in column A to the corresponding theories in column B. Column A Column...

A: Find your answer below 

Q: Determine whether the improper integral diverges or converges. 1 dx e6x + e-6x converges diverges Ev...

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Q: S3(*-4y")(>'+14y*-7)' dy

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Q: B. dx (9-22)²

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Q: If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person'...

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Q: explain

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Q: nclude spaces in between 5. d te In (In y)) at y dy

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Q: 2x?-8х+7 x 0 x-6x3

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Consider the points A(3,-3, 3), B(4,-5,0), C(-3,-4, 0), and D(6, 2,-6). (a) Find the volume of the p...

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Q: Find the vector component of v = 2i – j+ 3k along b = i + 2j + 2k and the vector component of v orth...

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Q: Find the area of the parallelogram that has u = i – 2j + k and = 3j + 2k as adjacent sides. NOTE: En...

A: Area of parallelogram with adjacent sides u→ and v→ is defined as u→×v→

Q: 2. What is the domain of y = 3x + 2? a. (3, +0) b. (-0, 3) c. (-00, +0) d. (-0,3)(3, -0) 3. What is ...

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Q: Find the point on the plane x − 2y + 3z = 6 that is closest to the point (4,2,0).

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Q: xy = 4, y = x,y = 1; about the x-axis.

A: Find your answer below 

Q: Without giving a numeric example, explain using the LEAST number of words the steps needed to conver...

A: The vector equation of a plane in normal form is   r.n^=d Here r is the position vector of a point l...

Q: 12 DO NOT include spaces in between characters. * Find the equation of the tangent line to the graph...

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Q: x+2 8) Let f(x) = values of x at which the function is discontinuous. Determine the +x – 2 Determine...

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Q: Find the area of the triangle with vertices P(1, 4, –2), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the ex...

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

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Q: Find the area of the triangle with vertices P(1,2, –3), Q(0,0 R(3, 5, 1). NOTE: Enter the exact answ...

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Q: DO NOT include spaces in between characters. * s² – a² Find the value of r' at s = 2a if r(s) = %3D ...

A: We have to find the value of r' at s=2a.

Q: . lim,0+ (1 + 2x)In(2z)

A: Solution :1∞  formif limx→0fx=1 limx→0gx=∞if the form limx→0 fxgx then elimx→0 fx-1gx