z = h1 y

Q: Evaluate the integral ∭U(x4+2x2y2+y4)dxdydz, where the region U is bounded by the surface x2+y2≤1 an...

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Q: if 1/x+1/y=3 and y(7)=7/20, find y′(7) by implicit differentiation. y' (7)=

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Q: If dy = ( 2x – 3 ) dx and y = 2 when x = 3 , find the value of y when x=5. Ans. y = 12

A: dy = (2x - 3)dx Integrate both sides w.r.t x to get: y = x2 - 3x + C where C is the constant of inte...

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at æ = 3 and...

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Q: Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflec...

A: Intercepts: when either x = 0 or y = 0 or both. when x = 0, y = 0 when y = 0, this will force x to b...

Q: Write an equation for the polynomial graphed below 5+ 4+ 2- -5 -4 2 3 4 5 -3 -4+ -5+

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Q: How do you add two vectors geometrically? How do you add them algebraically?

A: To add the vectors we position them to head to tail  Then we connect the loose end points of them  T...

Q: Alternative construction of potential functions in ℝ2 Assume the vector field F is conservative on ℝ...

A: where k(y) is some function in y

Q: (a) Find the critical numbers of f(x)  =x4(x  -1)3   .(b) What does the Second Derivative Test tell ...

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Q: find dy/dx if y = sin-1(1/x)

A: Here given as  

Q: Please find the derivative of function: see attachment

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Q: The irst 1our terfns ol a sequence are given. mine whetner these terms Can be the terms of a geometr...

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Q: For the equation given below, evaluate dy/dx at the point (1,−7/43). y/x+6y= x^3-8. dy/dx at (1,-7/4...

A: y/(x+6y) = x3 - 8 Or, y = (x3 - 8)(x + 6y)

Q: Find using Tabular Integration.

A: Consider the given integral. Find the u and v’.

Q: A piecewise function f is defind by [1-x, x1.

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Q: The graph of a function is given. y (a) Determine the net change between the indicated points on the...

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Q: Use implicit differentiation to find dy/dx in x2y + xy2 = 6

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Q: Use the cylindrical shell method to find the volume of the solid generated by revolving y=x^2, y=4x-...

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Q: Find dy. 37) y = 5~x +Z

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Q: Solve the problem. 5) The position of a body moving on a coordinate line is given bys = t2 - 6t + 2,...

A: The position function of the particle is The velocity function is evaluated as Now, we will find t...

Q: Find the integral ∫dx / x2√1−x2.

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Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 7, 21, 63,...

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Q: Use the information to evaluate and compare Ay and dy. (Round your answers to three decimal places.)...

A: Given

Q: Number 15

A: (15) Find dy/dt from y using the chain rule and dx/dt from the statement given.

Q: How do you find the vector from one point to another?

A: The vector from one point to other is the difference between similar coordinates of two points.

Q: Solve the problem. 7) A rock is thrown vertically upward from the surface of an airless planet. It r...

A: The rock will reach the highest point at the vertex. At the vertex ds/dt=0 So the rock will reach t...

Q: sin (In (x))x

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Q: find integral x / sqrt (x 2 +4) dx

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Q: Find the area of the region bounded by the graph of f(x) = 4 − x2, the x-axis, and the vertical line...

A: Given curves: The graph is:

Q: 1. Let r(t) = (t – 2, t? + 1), t = 1 %3D (b) Find T(t). (a) Find r'(t).

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Q: Use implicit differentiation to find dy/dx in x3 + y3 = 18xy

A: Given equation is Differentiating both sides with respect to x, we get

Q: If a stone is thrown down at 100 ft/s from a height of 1,200 feet, its height after t seconds is giv...

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Q: Decide whether the following infinite sum is convergent. If so, find the value.

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Q: What is the answer for question (h) and why ?, I'm confused about the parentheses would the answer b...

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Q: convert the above indefinite integrals into definate integrals using the intervals [0,1] and solve i...

A: Your question is full of contradictions. First contradiction: You are stating "convert the above ind...

Q: Compute the integral ∫ x+1 / √x2+4x+8 / dx.

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Q: - Fee for Service For his services, a private investigator requires a $500 retainer fee plus $80 per...

A: Fixed cost = 500  per hour cost= $80 He will work x hours  So total charge= 500+80x   Answer(a): f(x...

Q: The Grand Canyon is 1800 meters deep at its deepest point. A rock is dropped from the rim above this...

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Q: you are situated 300 feet from the base of a building watching an elevator descend down the side of ...

A: We sketch the situation roughly  Let us assume that the height of the elevator is = x feet  y= dist...

Q: Use Newton’s Method to approximate the zero(s) of the function. Continue the iterations until two su...

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Q: Numerically estimate the instantaneous rate of change of f(x)=e-x^2

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Q: Find a parametric description r(t) for the following curve. The quarter-circle from (1, 0) to (0, 1)...

A: A circle at origin and radius = 1 is given by r=1  At (1,0) , r=1 and θ=0  At (0,1), r=1 and θ= π/2 ...

Q: For which of the initial approximations  x1 =a, b,c and ddo you think Newton’s method will work and ...

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Q: u?(Vu + Vu) du

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Q: Use a graphing utility to graph the function. Use the graph to determine whether it is possible for ...

A: A graph CAN cross slant and horizontal asymptotes (sometimes more than once).  It's those vertical a...

Q: What is the Taylor series generated by a function ƒ(x) at a point x = a? What information do you nee...

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river. (see figure). The pasture must ...

A: total area= xy=125000 So, y=125000/x   Total fence needed=P= y+x+y=x+2y  We have to minimize P  

Q: convert the above indefinite integrals into definate integrals using the intervals [0,1] and solve i...

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Q: Rewrite equation without logs. Do not solve for x

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Q: Divergence and curl Compute the divergence and curl of the following vector field. State whether the...

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