Find the average value of the function f) = 8-7 on the interval [0, 9]. %3D

Q: Solve the seperable differential equation 10yy' = x. Use the following initial condition: y(10) = 7.…

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Q: The derivative with respect to x of | (3Vi-1) dr is 3x – 1 by the 2nd fundamental theorem of…

A: Given that,         ∫3x3t-1dt

Q: Use series to evaluate lim 3x(e -2/x - 1). lim 3x (e -2/* - 1) -O X00 (Simplify your answer.)

A: We can use series to find the limit as below.

Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B=26°. (The figure is not…

A: Sine Laws : asin A=bsin B=csin C

Q: b) X, + X2 - 2 X3 +Xy = a) 5X +2y = 1 3X +2y %3D = 1 Xz - X3 +2 Xy = 1 %3D = 5 X - 5y = 6 c) 2x, +8…

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Q: 3. Find a unit vector that points in the opposite direction as = 27 +7]-5k. %3D 4 Find a vector that…

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Q: Question 5 3 Consider the function f(x) = Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

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Q: Determine whether the series converges or diverges.

A: Solve the following

Q: Determine whether the improper integral diverges or converges. 0. -5x хе dx

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Q: (x) = V19+r dt , find f'(3)

A: Given query is to find indicated derivative.

Q: 10 10 If f(x) dr = 17 and f(x) dr= 12, then f (x) dr =5 A True B False

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Q: sin(ry), Which of the following is TRUE for lim(z,1)>(0,0) Lütfen birini seçin: a.The limit value is…

A: Limit

Q: about the line, x- | (E'1) puo (!!)'(0) squiad %3D V= T RG) 3-X y= 2x+1 Idy 3 - 23. x- V= T 29 12

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Q: Determine the lowest positive root of f (x) = 8 sin(x)e–x − 1:        a.  Graphically.        b.…

A: The given function,     f(x)=8sin(x)e-x-1

Q: Consider the following function. T: R2 → R3, T(x, y) = (2x², 2xy, 2y²) Find the following images for…

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Q: dx 2. o (x-1) 5

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Q: Problem 8 Find the following indefinite integrals: (a) [3r°dr (b) S(3r® +9x² – 12r)dr (c) S(7x-1…

A: topic- indefinite integral ∫xndx=xn+1n+1+C

Q: Question 8 Evaluate the given double integral by changing it to an iterated integral. JJ xy dA; S is…

A: Note: Graph the triangular region and find the limits

Q: A rectangular storage container without a lid is to have a volume of 10 m. The length of its base is…

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Q: Use the graph of the function f to find the limits at the indicated valu 4+ 3. y=f(x) 2 1 2 3 4 566…

A: Given query is to find indicated limit.

Q: Find the derivative of the function f(x) = 9r( – 5x + 6z). %3D f'(x) =

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Q: 12 and sin 0 < 0, find (Please show the solution.) 5 If tan 0 = %3D - (a) sin 20 (b) cos 20 (c) tan…

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Q: Evaluate the integral (12x + 6y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

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Q: Find curl(4z i + 5xj + 9y k). curi (4z i + 5xj + 9y k) = ( i )i + ( i Ok

A: We have to find out the curl

Q: If 39 | f(z)dz = 7 - 89 and - 39 g(x)dx = 25 89 and 39 | h(x)dæ = 32 89 what does the following…

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Q: coso de by trigonometric substitution.

A: answer is in next step

Q: Given the supply function   p=​S(x)=7e0.02x−1   find the average price​ (in dollars) over the supply…

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Q: If f(x) sin (2a+5) then dom(f) = %3D x+2 (A) (–3, –2) (B) [–3, –2] (C) (–1,1) (D) [–3, –2) (E) (-∞,…

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Q: 3. f(x) = 8

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the Divergence Theorem to compute the net outward flux of the field F = (4x, y, - 2z) across the…

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Q: ind V × (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V x (V × F) = ||

A: Topic:- application of derivatives

Q: Find the solution of the linear System by esing Al; X, +2X2+3X3 - 5

A: The system of equation can be written as;Ax=BA=123253108 , x=x1x2x3 ,…

Q: You know that the total measurements of the angles of the triangle drawn at a plane equal to 180…

A: Triangle sum theorem: The Triangle Angle Sum Theorem states that the sum of a triangle's three…

Q: Given the supply function   p=​S(x)=10e0.02x−1   find the average price​ (in dollars) over the…

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Q: 7. Find the area of the region bounded by y = 5x² +1, x = 0, x = 2,y = 0. Give a sketch of the…

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Q: Determine whether z is a function of x and y + z2 = 1

A: see below the answer and explanation

Q: Given / f(x)dx = -3 and / g(x)dx = 6 , evaluate (a) / ise) – 59(=)|dz 1 *(x) + (e) [ 15(4) – o(=) +…

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Q: 2. sin 2wcos 2wchw

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Q: 7 dx x² + 52 Integrate: + C

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Q: Question 15 The price per barrel of crude oil can be approximated by the function, P(t) = 0.45t? -…

A: We have to find the average rate of change of function.

Q: f(t) 3. Find the function f and a number a such that a + dt = 2 sin x for all x greater than zero.…

A: We can solve as follows

Q: Write an iterated integral for J dA over the region R described to the right using R a. vertical…

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Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. So xe…

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Q: Evaluate the line integral -ydx + xdy along the curve C: y? = 30x from (30, 30) to (0,0). NOTE:…

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Q: | (ax³+bx²+cx) dr=2b | x²dx where a,b and c are constants. A True B False

A: To determine whether the given statement is True or False.∫-99ax3+bx2+cx dx=2b∫09x2 dx where a, b…

Q: dx (х -1)3

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Q: Find the particular solution determined by the given condition. F(x) = 3x2 - 2x; f(O) = 9 %3D %3D O…

A: Given query is to find the solution of the differential equation.

Q: Solve the differential equation for general solution y' = 2x - xy; y = 5 when x = 0 %3D O y =…

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Q: Find the surface area of the part of the cone x2 + y = z between the planes z = 3 and z = 8. Express…

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Q: 9. 5+ 8 7- 6- 3 5 4 2 g(x) 2 h(x) 1 1 1 2 3 x-values 4 5 1 2 3 x-values 4 If f(x) = g(h(x)), then…

A: Explanation of the answer is as follows