Finda the area bounded by the given curves/lines. Sketch the graph of the curve and the plane region. Parabola x= 8+2y-y^2, the y-axis and the lines y=-1 and y=3

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Q: Let a = ci + jand b = 8i + 15j. Find c so that the angle between a and b is. Round your answers to f...

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Q: 1. Complete the following tables of values to investigate lim(x¯ - 2x + 4). f(x) f(x) 1.6 0.5 x+1 li...

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: We know that vector component of v along b is v→·b→b→ Vector component of v orthogonal to b is v→- v...

Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6, 3, –5). (a) Find the volume of ...

A: Volume of parallelepiped

Q: If a particle is moving with the given data a(t) = 10 sin t +3 cos t, s(0) = 1, v(2n) = –4 Then the ...

A: Given that at=10sint+3cost  ,s0=1,      v2π=-4To find : the position function stSolution :we know th...

Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are gi...

A: To find the rate of increase or decrease in cost, revenue and profit.

Q: Find if y = arctan(e2*). dx dy 2e 2x dy e 2x dx 1+e 4x dx 1+e4x O Option 3 Option 4 dy dy 2e 2x V1-e...

A: Topic = Derivative

Q: 3 cos xy? O f(x,y)= Zsinxy Find fx fy and

A: On solving this we will get:-

Q: Find the area of the triangle with vertices P(1,5, –4), Q(0,0,0) and R(2, 3, 1). NOTE: Enter the exa...

A: Find your answer below 

Q: me: urse/Year/Section: Date: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan...

A: We are asked to find the derivatives of the following.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation....

A: Consumer's Surplus , CS = ∫0q p(q)-p dq .

Q: Consider the Second Order Differential Equation d?i di drz +77+ 10i = 0 dt Where i represent current...

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Q: An oil tank is being drained for cleaning. After t minutes there are Vlitres of oil left in the tank...

A: Here we will find all asked quantities,  

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

A: The volume of the parallelepiped spanned by vectors a→, b →and c→ is given by a→×b→·c→ We know that ...

Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point (-...

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation...

Q: The radius of a right circular cylinder is increasing at the rate of 3 inches per ninute and the hei...

A: Given:The rate of change in radius =3 in/mThe rate of change in height =4 in/mThe radius =9 The heig...

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A: The limit of a function exists and is equal to L if the right hand limit and left hand limit both ex...

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Q: Consider the pair of savings plans below. Compare the balances in each plan after 13 years. Which pe...

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Q: Compute f'(a) algebraically for the given value of a. HINT [See Examples 1 and 3.] f(x) = -; a = 2 f...

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a cal...

A: The given expression,    35.4

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A: Question- Set up an integral for the area of the shaded region. Evaluate the integral to find the ar...

Q: Find a formula for the nth term of the arithmetic sequence. a3 = 95, a6 = 107

A: topic- arithmetic sequence

Q: Let f(x) = 2x² 11a + 4 - The slope of the tangent line to the graph of f(x) at the point (2, 10) is ...

A: This is a problem related to derivative of the function. Please follow the procedure given below.

Q: Question Find the sequence of partial sums S1, S2, S3, S4, and S5 of the series below. 10 3" – 18 Ro...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Find the average of the function over the given interval. (Round your answer to two decimal places.)...

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Q: Find the average distance from the origin of a point between the two spheres x ^ 2 + y ^ 2 + z ^ 2 =...

A: We have to find average distance from origin of a point between the two given spheres. 

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

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Q: f(x) = 6x/(1 + x²)², [0, 2] %3D (a) Find the average value fave of f on the given interval. fave = (...

A: Question- f(x) = 6x/(1+x²)², [0, 2]   (a) Find the average value (fave ) of f on the given interval....

Q: Consider the following. y = 5x2 - 10x + 4 %3D

A: The given function,      y=5x2-10x+4

Q: Зх-1 13. f (x) = ;(-1,6] х2—7х-8

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Q: 1. we have to evaluate the following integrals 4 dy de a. How did he get the value inside the circle...

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Q: xy' + y = 0, y(4) = 6 %3D

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Q: Locate the critical points and identify which critical points are stationary points. f(x) = 5x – 160...

A: Given thatfx=5x4-160x2+8Solution : find first derivative and equate equal to zero.fx=5x4-160x2+8f'x=...

Q: Find the area of the region.

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Q: Evalnate. the. followin..deuble.integrals.by.conver.king.b.. polar.Cto.r.dinates. Gp xpx Sf- Ans.: A...

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