23. Find two numbers whose sum is 10 and the sum of their squares is a minimum.

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: Given query is to find the value of the integral.

Q: Find the equation of the tangent line in the given place. complete solution 1.) Tangent to the…

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Q: 3. If f(x) = [ 8+f dt ,find f'(1). .

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Q: Solve the differential equation dy tan y x Cos x 3 dx

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Q: Determine convergence or divergence of the alternating series. 24) E (-1)n 6n5 + 5 n = 1

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Q: EXAMPLE 1: Consider the graph of the function f given below. Using the given graph, determine if the…

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Q: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives

Q: 1. S 2xe2*dx

A: Given that,   Using integration by part

Q: 12 (25x – 46x' + 3)dx J-12

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Q: d²y Q2: find of the following statement dx2 a) y = xcosnx b) y = In x3 + ex + cot x

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Q: Find the roots Lzerel of eah tunction and State tHhe multipicty of any veputed root - 니 2x

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Q: Verify that the conclusion of Clairaut's theorem holds, that is, u, Uxy = "yx' u = x'y8 – y? With u…

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Q: dy (1- y)

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Q: Find the area between the curves f(x) = x2+2x+1 and g(x) = x+1

A: We need to find area between given curves.

Q: -12 1. ("(25x – 46x + 3)dx -12

A: topic- definite integral if f(x) is a odd function∫-aaf(x)=0

Q: 3 In ДАВС, с % 15 ст, b — 4.6 ст, тLA: = 106°. Find the area of the triangle and round to the…

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Q: Find the standard form for the TANGENT PLANE to the surface: : = f (x,y) = x cos (xy) at the point…

A: The given function is  z = f(x,y) =x cos(xy)

Q: Biologists stocked a lake with 280 fish and estimated the carrying capacity (the maximal population…

A: We need to estimate the carrying capacity.

Q: The area bounded by y =3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Solve the following

Q: no1

A: Topic:- application of derivatives

Q: 1000 V(x) dæ. Be sure that you can explain in words the meaning of this integral. What are the units…

A: Given:-unit of V(x) is decibels/minunit of dxchange in x  is m

Q: Evaluate the definite Integral. Use a graphing utility to vertfy your result. dx Step 1 To evaluate…

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Q: Use implicit differentiation to find the gradient of the tangent line for xy 6xy - 2x = 9 at the…

A: topic- application of derivative

Q: 5. Consider the region R in the plane enclosed by x-0, y=1 and y = x a. Draw the region b. Use…

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Q: Find 17. d Ssin (4x) cos(4x) dx

A: Use substitution to solve

Q: Determine the convergence or divergence of the series. (If you need to use co or -0o, enter INFINITY…

A: limn→∞ sech(n)=limn→∞ 2en+e-n=limn→∞ 2e∞+e-∞=limn→∞ 2∞+0=0limn→∞ sech(n)=0

Q: The equation of the line passing through the point (– 3, 7) with slope zero. A. x = -3 C. x = 7 D. y…

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Q: f is just that e*-sin(x + y) + cos(x +y)] and = -e* sin(x + y) which if the ollowing is true Select…

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Q: If x= tane , then dr = coso de . (1+x?)½ A True B) False

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Q: The volume V, in liters, of air in the lungs during a three-second respiratory cycle is approximated…

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Q: -9 2. They" for y V3x-5

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Q: Explain why the integral is improper. 18 .6 1.4 1.2 y F0.8 F0.6 F0.4 F0.2 -2 -1.5 -1 -0.5 At least…

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Q: 1. sin 0 =

A: answer is in next step

Q: sin $ 3 y cos*3 ydy

A: We have to solve above integral

Q: Problem 4. The third term of a geometric sequence is 9, and the common ratio is 2 Find the fifth…

A: Given :3rd tern of GP is 9common ratio=32

Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: Problem 8. If the focus of a parabola is at (0, 4), and the directrix is y=-4, write the equation of…

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Q: Consider the system of differential equation x' = 5x – 3y - y' = 9x + 9y Write the system in matrix…

A: To find the matrix A.

Q: Consider f (x) = 5 cos (2x). Using the given function at xo 0, approximate f (2n/3) by making use of…

A: Let's find.

Q: 15. Evaluate the following double integral. Si (xy* + x)dydx

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Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. 1. Find the…

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Q: Consider the lines l : = 2 – y = z +1 and l2 : y - 2 3 1. Determine a direction vectors for the…

A: Consider the lines L1: x-12=2-y=z+1 and L2: 1-x2=y-2=z-33.1 To determine a direction vectors for the…

Q: 8. Given the following information, sketch a continuous graph of r(x) as accurately as you can on…

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Q: Twenty-five

A: We will find the probability.

Q: Find an interval of t-values such that c(t) = (cos t, sint) traces the lower half of the unit circle…

A: Given that ,  c(t) =cost, sint,  we have to find an interval of t-values such that it traces the…

Q: View Policies Current Attempt in Progress Find r'(t). r(t) = (tan-(9t))i+t cos(t)j – Vik | NOTE:…

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Q: Determine whether the series converges absolutely or conditionally, or diverges. (-1)" + 1 n + 8 n =…

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Q: f (x) = (x + 1)º – 9x – 2 %3D (a) Find the intervals on which f is increasing or decreasing (b) Find…

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Q: dy -1

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Q: Express the series using sigma notation. 5 + 8 + 11 + 14 + 17 25(3) n-1 5 23n+2 n-1 23n+2 n-1 C5(3)1…

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