(2). z=x² + y,k=-4,-1,0,1,4.

Q: ) If g(x) = x³, then lim x-2 g(x) x - 2 - 12

A: Given query is to find statement is true or false.

Q: A replacement square tile for the space shuttle is measured at 4.17 cm along the side with an error…

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Q: 78. 1 2 4x + 12 2 (x² + 6x + 1) dx

A: Ans = 9/68 For detail ...go through the solution I have solved step by step in detail

Q: Find all critical points of the following functions. રી. f(x)= x² + 10x + 43 -

A: according to bartleby guide line we do only first part (A)  f(x)=-x2+10x+43d dx(xn)=nxn-1

Q: find the revolution of the solid of revolution generated by revolving the region bounded by y=ln(x)…

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Q: Find a plane containing the point (1,4,3) and the line of of the planes 7x + 5y - 8z = 27 and 5x +…

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: Set up iterated integrals for both orders of integration. Then evaluate the double integral using…

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Q: A graphing calculator is recommended. A fish swims at a speed v relative to the water, against a…

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Q: Evaluate the triple integral. Ex x dV, where E is bounded by the paraboloid x = 8y² + 8z² and the…

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Q: Find the revenue function R(x) when the marginal revenue is R'(x) = 400 - 0.4x and no revenue…

A: Given marginal revenue function R'( x ) = 400 - 0.4x

Q: What is the nominal rate of interest compounded monthly if the effective rate of interest on an…

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Q: A price index was approximately 98.6 (base year 1992) at the beginning of 1991. If inflation…

A: Formula used A = P( 1 + R100 )t A = amount after time t P = initial amount R = rate

Q: Let an and Σ n=1 n=1 Do NOT assume the series are positive (they may or may not be positive). Which…

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Q: find the volume of the solid revolution generated by revolving the region bounded by y=e^(3x) y=3…

A: Please see the below picture for detailed solution.

Q: Consider the function f defined by the formula f(x) = { 2²³ +22² +7 9e²+3 +4x3 Choose the statement…

A: Concept if a function f( x ) is continuous at x = a then limx→a-f( x ) = limx→af( x ) = limx→a+f( x…

Q: Find the distance from the point (-4,-6,4) to the line a(t) = ( – 5, 1, − 3)t + (− 7, — 4, 7) FORCYY

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Q: (x²-5x²+17x³-15x+45)÷(x²-3) =

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Q: Find the distance from the point (-4,-7,-5) to the line a(t) = ( − 4, 5, 2)t + (2, 4, — 5)

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Q: The figure shows the power consumption in San Francisco for a day in September (P is measured in…

A: Here

Q: Extra Problem: Consider the curve given by √x + √y = 1 for x > 0 and y > 0. For a point (2o, 3o) on…

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Q: Fully factor and find all of the specific zeros of the function f(x)=2x4-9x³ + 6x² - 9x +4 Show your…

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Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

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Q: 4. How much work is required to fill a spherical tank with a radius of 1m with water (1000 kg/m³)…

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Q: Find the angle of inclination of the tangent plane to the surface at the given point. x² + y2 0 = =…

A: Given query is to find indicated angle.

Q: Volume = --1 1,0

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Q: 1. Find all critical numbers of the function f(x) = 1/3 sin (6x) -x, on the interval 0<x< Show all…

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Q: Set up the triple integral of an arbitrary continuous function f(x, y, z) in cylindrical or…

A: Topic:Triple Integral

Q: Find the volume of the solid enclosed by the intersection of the sphere x² + y² + z² = 100 and the…

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Q: Find the open intervals where the function f(x)= In (x²+25) is concave upward or concave downward.…

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Q: Find f. f(t): = 12t f"(t) = 3 9 √t' f(4) = 32, - 22t + 6 X f'(4) = 14

A: f''(t)=9tgiven  f(4)=32f'(4)=14∫xndx=xn+1n+1+c

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

A:

Q: Differentiate. Step 1 F(y) x) = (1/²2 - 11/2) (v + 8y²³) To find the derivative of the product F(y)…

A: The given data is:  Differentiate  Fy=1y2-4y4y+8y3

Q: ​You've decided to sell sweatshirts for the upcoming game. You project that at a price of ​$33.32…

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Q: (a) What is the equation of the plane passing through the points (2,0,0), (0,1,0), and (0,0,2)? (b)…

A: Given that plane passing trough the points (2,0,0),(0,1,0) and (0,0,2)

Q: 0 The following limit results in when you first try to plug in the limit value. 0 Complete the steps…

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Q: Throughout this problem, consider R to be the region between the curves f(x) = 2x and g(x) = x³ in…

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Q: Given Cost and Revenue functions C(q)=q3−11q2+55q+5000 and R(q)=−3q2+2400q​, what is the marginal…

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Q: Use the table to evaluate the following limits: -6 -5.1 -5.01 f(x) -5 -500 -50000 -5.001 -5 -5000000…

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Q: PLS do fast within 5 minutes and i will give like for sure Solution must be in typed form The…

A: How can both x-intercept s be determined if the equation y=-(x+6)(x-3) is given?

Q: Find a plane containing the point (4,5,-7) and the line of intersection of the planes 7x + 7y8z = =…

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Q: 3. Let f(x,y)=x²y/(x² + y²). (a) Show that f(x,y) goes to zero if (x,y) goes to (0,0) along any…

A: Solution: (a) If (x,y) approaches (0,0) along the straight line y = mx, then we can substitute mx…

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given that  a spherical planet with a radius of 3 units and let its origin is centered at (0 , 0, 0…

Q: d the distance from the point (5,9,-6) to the plane - 3z = amon 18.

A: we will find the required.

Q: Find the radius of convergence of the following power series: summation from n = 0 to infinity…

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Q: Sketch the solid whose volume is given by the integral below and evaluate the integral. -π/6 •π/2 9…

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Q: Find the mass of a solid in the shape of a sphere of radius 7 if the mass density p is proportional…

A: calculation of mass of a solid shape with necessary calculation are as follows

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 15, (1, 3, 5) (b)…

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Q: Suppose that f(5) = 1, f '(5) = 4, g(5) = -5, and g'(5) = 9. Find the following values. (a) (fg)'(5)…

A: Given query is to find indicated derivative.

Q: 5. The Cobb-Douglas production function for a new product is given by P(x, y) = 10x406, where x is…

A: