Answer the following. Solve for two positive numbers whose product is 121 and whose sum is a minimum.

Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Let's find surface area of given plane 15x-5z+20y=35 in the first octant.

Q: fferential Eugh by finding tor. (6n +only)dy=0)

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Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

A: Solution

Q: Reproduce the given computer-generated direction field. Then sketch an approximate solution curve…

A: For the given condition we need to select graph For first condition y-6=0 That means at x=-6 the…

Q: 1. Evaluate √2 √4x² dx using a trigonometric substitution.

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Q: The result of the following sin 1² t limit is lim 1-0

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Q: FOR NUMBERS 8-10 8. Evaluate (x) = 5x-1 A 1 9. f(x)= 3x² A 3 10. f(x)=-4 A 3 (2) for the given…

A: Topic = Deriative 8) B 9) D 10) C

Q: Evaluate √16-x² dx

A: ∫16-x2dx

Q: 3. Consider the following differential equation dy 1 y(0)=2, h=0.2 dx x + y Determine the solution…

A: SOLUTION-

Q: Find curl F if F(x,y,z) = 16y5₂5i - 8x³₂8 j- 7xy4k. O curl F = (-28xy3 +64x³₂7)i + (7y4 + 80y5z4)j +…

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Q: Solve the following initial value problem. 1. y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Question 1. Tangent and Velocity Problems I need answer for part b and c only Exercise 2.1, Problem…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the volume of parallelopiped formed by the vectors , and

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Q: The figure shown to the right contains a scatter plot of 10 data points for trees, where the…

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Q: Ex: Estimate the value of №.1.5 by..binamia.. sevies. Sol 4.5 = (1+015.) ². X=0.³.5 m = 0.15... 3 •:…

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Q: Find the limit of the vector-valued function if it exists. lim(e² i + sin(t)j + e¯¹²k) O does not…

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Q: An area is bounded by y^2 =12x, x = 3. The area is located in the first quadrant. Calculate the…

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: solution:-f(x)=x2-4x-5x+2,    -1, 5f(x) is continuous in  -1, 5f'(x)=x+2ddxx2-4x-5-x2-4x-5ddxx+2x+22…

Q: . Use the definition of error function, prove that [²' ( ²² ) = √T z

A: On solving this we will get

Q: 2(1-x²) (1+x²)² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x): = f(x) = find the derivative of this…

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Q: S dx x2 x² + 13x

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Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

A: The answer is given below:

Q: WHich of the following represents the shell height if the shell method will be used to find the…

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Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

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Q: 2. A spring has a natural length of 2 ft, and a force of 15 lb is required to hold it compressed at…

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Q: A graphing calculator is recommended. Use the Squeeze Theorem to show that lim x² cos(167x) = 0.…

A: Let's solve limit problem.

Q: 4.(2x³ -5x² + x)dx 5.[(5x² - 4x+2)dx

A: This is a problem related to integral of the function. Based on the general formula and concept we…

Q: Write an equation of the line with the indicated slope and y-intercept Slope = -4 y-intercept = 3 y=

A: slope =m=-4y-intercept =3

Q: f(x,y) = x² + 6xy − 3y² + 2x - 2y + 1433, g(x, y) = sin(x²y + 2x - 5),

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Q: What is the denvative of: d√√√x²-2x do sin x

A: Topic = Derivative Your answer is correct, but it can be simplified further.

Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation…

A: Let's find rate of inflacted population.

Q: 3.lim √x + 3x + 6 x-2 -2.1 X f(x) -2.01 -2.001 -2 ? -1.999 -1.99 -1.9

A: Limits

Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: 7- Determine the volume of the parallelepiped formed by the vectors u = [ 2,1,3], v = [1,-4,2 ] and…

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Q: 4.[(5x³ 5.Ĵ(6x² − 2x² +4x)dx − 3x+1)dx

A: Topic = Derivative

Q: Let y = tan(5x + 2). Find the differential dy when x = 4 and da = 0.3 0.6 Find the differential dy…

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Q: Use continuity to evaluate the limit. lim x→5 x   29 − x2

A: We have to determine  limit use continuity

Q: y =(3+5.x)" Use Logarithmic Differentiation to find dy da dy dx

A: topic- logarithmic differentiation

Q: An area is bounded by x^2 = 8y, y = 3, and the y-axis. This area is located in the first quadrant.…

A: An area is bounded by x2=8y, y=3, and the y‐axis. This area is located in the first quadrant.To…

Q: Suppose z is a function of r and y, and x² + y² + z² = xe² + ye² + ze³. Solve əz əz for and əx ду

A: Topic = Derivative

Q: slope the line that passes through the given points. point-slope form of the equation of the line.…

A: We will solve the problem.

Q: Which of the following relations is a function? {(1, 9), (2, 4), (2, 3), (4, 15)} {(2, 7), (7, 9),…

A: Given

Q: Differentiate f(t) = 5-7t+8

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Q: 8) Consider the solid Q that is generated in the first octant by the surfaces S₁: (x - 2)² + (y-2)²…

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Q: If f(w) f'(w) = = w7 -In w 7 w7 49 find f'(w). Use exact values.

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Q: Evaluate / fasiner for drdedz Jo

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Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: 2 ft²cos nлtdt

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Q: Let f(x)=0.5x²-x-7. Solve each equation graphically to two decimal places. (A) f(x) = 4 (B) f(x) =…

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Q: an ellipse has vertices (-10,-4) and (6,-4), and covertices (-2,-9) and (-2,1). find its standard…

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