Find two numbers with difference 86 and whose product is a minimum. Enter your answers in increasing order. First number: Number Second Number: Number

Q: Let f(x) = = (2x¹, (5sin(x), 0 슴ㅠㅠ ㅇ 름ㅠㅠ ○ ㅠ + 10 83 - 10 0 1 - 10 -ㅠ < æ < 0 0 ≤ x < ㅠ Evaluate the…

A: The function is given by fx = 2x4, -π≤x&lt;05sinx, 0≤x≤π To evaluate: The value of the definite…

Q: Find the area of the surface generated by revolving the curve about the given axis. x = 9 cos(8), y…

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Q: Find the first five terms of the Taylor series for the function f(x) = ln(x) about the point a = 3.…

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Q: The daily output at a factory is Q(K, L) = 128K L units, where K is the capital investment measured…

A: Given  Q(K,L) = 128(K)^(3/4) * (L)^(1/2)

Q: A graphing calculator is recommended. Use a graphing calculator to graph the solution of the system…

A: Solution: Given data, y ≥ x3    2x + y ≥ 0 y ≤ 2x + 5

Q: Find the length of the curve. Give your answer correct to two decimal places. x = et + et y = 5 - 2t…

A: Given: x=et+e-t ; y=5-2t ; 0≤t≤4.We need to find he length of the curve.

Q: c. f(x) = In C. e x² sec x *r-sin x

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Q: A SPERICAL SNOWBALL IS BEING MADE SO THAT ITS VOLUME IS INCREASING AT THE RATE of 8ft^3/min. FIND…

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Q: 25-year old woman burns 200−20t cal/hr while walking on her treadmill. Her caloric intake from…

A: Given query is to find the calories decrease in 4 hours.

Q: Find the area of the finite region bounded be curve y = -x² + 4x - 3 and the x-axis, fr x = 2.…

A: Given query is to find the area under the curve.

Q: 1-2 h(r) = 1=7²³²₁ 2-3 . Find h' (1).

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Q: Find all solutions of the equation in the interval [0, 2). cot^2 x + 3 csc x = - 3 Write your answer…

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Q: Find and classify any critical points. 3. z = 4xy - x4-y4

A: for critical points put ∂z∂x=0 and ∂z∂y=0∂xn∂x=nxn-1

Q: x/6 S 0 cos 9x dx

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Q: Using the u-substitution u = 3x² + 1, identify f such that the integral =) = help (formulas) x 3x²+1…

A: Solution Given that  u=3x2+1

Q: need the stretching factor and asymptotes of the following p(x)=tan(x-Pi/3)

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Q: Find the indicated partial derivatives of: дz дх дz ду z = ln(x2 + g³)

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Q: USE IMPLICIT DIFFERENTIATION TO FIND dy/dx. WITH THE GIVEN EQ’N: y^5+x^2 y^3 = 2 +x^2 y.

A: The given equation is y5+x2y3=2+x2y

Q: O 1 O -|N 2 Let g(x) = 3x²-3x. At what value of x on the interval [0, 2] does g have a possible…

A: To find the value of x for which the given function has an absolute maximum

Q: Given: f(x, y) = x³y +exy ² 9. find fxy b. find a³f ayayax

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Q: Consider the function f(x) = 5x² - 6x +9, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: ginen  f(x)=5x2-6x+9for critical points put f'(x)=0dxndx=nxn-1

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: To find the minimum and maximum value of function using lagrange multiplier.

Q: Suppose that the monthly marginal cost for smokejumper harness straps is C'(x) = 3.5x +95 and the…

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Q: (c) Is the graph symmetric with respect to the origin? Choose the correct answer b OA. Yes, because…

A: Solve by origin symmetry property

Q: 6 Find the particular antiderivative F(x) of f(x) = that satisfies F(1) = 5.

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) (b) (c)…

A: Let's solve all integral value.

Q: 6. Define h(r) = for all r. Prove that the function h: R→ R satisfies the € - 6 criterion on R.

A: In this question, we want to prove that the given function satisfy the given criteria on R.

Q: luate the integral. [² ( 3 + 1 0 ² - 1 0²³) OU du

A: Given query is to find the integral.

Q: = L 3t dt. Then g' (2) equals Let g(x)= (Your answer should be a number.)

A: ∫xndx=xn+1n+1+cg(x)=∫x243tdt=3∫x24tdtdxndx=nxn-1

Q: Use the divergence theorem to calculate the surface integral, F=, S is the upper hemisphere…

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Q: Suppose that C = f(x, t) = 22te-(6-2)t represents the concentration (in mg/liter) of a drug in the…

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Q: At OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

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Q: Determine whether x² 1 x+1 has a vertical asymptote or a removable dis- continuity at x = -1. f(x) =…

A: f(x)=x2-1x+1conditions for vertical asymptote and a removable discontinuity we have a removable…

Q: Find dy/dx with implicit differentiation

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Q: 8. Find the solution set of the system of linear equations x12x2 3x3 2x14x2 -3x1 1 4x4 = 2 5x3-7x4 =…

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Q: 4) Write an equation for a sphere centered at the point (4,6,-1) with radius 8

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Q: Convert y = 29 z² to polar coordinates in the form: r is a function of 0. r =

A: Given,            The rectangular coordinates is y=29x2.To find : Convert rectabgular to polar…

Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C'(x) = 40x + 715…

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Q: Question: Find the derivative of 25 cos(sin² (tanx)) Solution: d dx (25 cos (sin²(tan x))) 11 50…

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Q: find all solutions y(x) of the boundary value problem y"+9y=0, y(0) =3, y'(pi/3)=-3

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Q: √x√12x² + 4 dx

A: We can solve this as follows:

Q: 4. What is the slope of the tangent to f(x)=√√x-1 at (5, 2)? c. 2 14 12 a. 1 b. 1 d. 4

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Q: Question Find the area of the region enclosed by one loop of r = Enter an exact answer. Provide your…

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Q: The function f(x) = − 2x³ +39x² - 216x + 4 has one local minimum and one local maximum. This…

A: Given a function f(x)

Q: Question 1 Determine the remainder of (2x³-5x² - 4x + 7) + (x + 2) A) -21 B -6 C -11 D -37

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Q: 15. Which of the following is a point at which the tangent to y = (x − 2)²(x + 3) is horizontal?…

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Q: 11. Let f be the function f(x) = x² In x. For what value of x is the slope of the line tangent to th…

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Q: (D) a translation 5 units to the right and 3 units up

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Q: 12. Let f be the function given by f(x) = 3e2x and let g be the function given by g(x) = 6x³. At…

A: here given function f(x)=3e2x and g(x)=6x3 if the graph of function f and g have parallel tangent…

Q: Determine whether the series converges. Σke-k² 8 k=1 The series

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