Differentiate the function. 1 g'(x) ॥ g(x) 1 2x 2 = = VX + X 1 5.( ) *

Q: 6- The first term of a geometric sequence is 24 and the third term is 6, find the fourth term and an…

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Q: Find the general solution of the D.E. (4D³ − 3D+1)y=0. Ⓒy=c₁e²x+c₁₂e-²x Ⓒy=c₁₂e-*+c₂e² Ⓒy=c₁e²+c₁₂e…

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Q: 2. What is the slope of the tangent to f(x)=√√x-1 at (5,2)? Show your work. a. 1 C. 2 4 b. 1 2 d. 4

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Q: 4) Evaluate 2 √x√x² +1 dx

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Q: At time t, the position of a body moving along the s-axis is s = t³ - 9t² +24t m. a. Find the body's…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but…

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Q: A farmer plans to fence a rectangular pasture adjacent to a river (see the figure below). The…

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Q: Differentiate. y' = у 4x 3 - tan(x)

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Q: Find a Cartesian equation for the curve and identify it. cos(20) = 1 O limaçon Ohyperbola O circle O…

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Q: (-26)³ 6 If so, write it in the form f(x) = kx². Is the function g(x) The function is g(x) = kx² ||…

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Q: y = x^ex

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Q: Consider the function f(x) = x4 − 4x3 + 10. Your goal is to graph this function without the use of a…

A: Given, fx=x4-4x3+10

Q: given the sides of a right triangle ABC,C is the right angle AB= 17 and AC = 8

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Q: 09. C-1 28-1 $²-8-6 (e³ (t-1) + e-2(t-1)) u₁ (t) C. (e-3(t-1) + e²(t-1)) u, (t) <-8 e 0} (1) A. (t)…

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Q: COS 13п 15 COS Зл 15 + sin 13л 15 sin 3п 15 Answer: cos 10п 15 = cos 2П 3 = -1/2

A: NOTE: Refresh your page if you can't see any equations. . the given expression is

Q: The graph below shows the constant function y = g(t). -8 -7 -6 -5 -4 -3 -2 -1 4 -2 -3 -4 Answer: 8 +…

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Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: locity of 6. Find the average value of f(2x - 1)³dx.

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Q: Differentiate. f'(t) = f(t) = 8t t³t-1

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Q: Determine whether the series given by Σ±% (-3) k+1 (-3)*+¹

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Q: Find dy/dx. x=tsin(t), y = t² + 5t

A: SOLUTION-

Q: 1. Determine f'(2) for f(x) = x² + 4x-1. Show your work. a. 7 b. 8 c. 11 d. 12

A: Given f( x ) = x2 + 4x -1

Q: A ladder 15 feet long is leaning against the wall of a house (see the figure below). The base of the…

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Q: 14) у = так? (*); а = ? А) Ч 47X2 х2+4 B) - L 2\4-x³² c) 2 D) L 2+X

A: according to guide line we do only first part .please re post other parts in next question (14)…

Q: 18. A company makes $1000 on the first 100 widgets sold. The rate of change for profit is given by…

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Q: Consider the following curve. 1 + x 4 + ex Find y'(x). y'(x) = y = 1 Find an equation of the tangent…

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Q: The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14…

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Q: For the function f(x) = 2x³-18x²+4: (a) Find the critical numbers of f(if any); (b) Find the open…

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Q: Find the Equation for the Graph of a Logarithmic Function HO (7,-4)

A: Let the equation of Logarithmic function,            y= logb(x-a) here,  in the above graph, initial…

Q: _f(x) = 2 X 1 - 2x

A: To solve the following problem

Q: 20. The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

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Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi+yj + zxk and S is the…

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Q: *√3+41² dt, find the derivative of h(x). J2x

A: Given query is to find the derivative.

Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

Q: Find dy/dx and dy/dx². x = e, y = te-t dy dx² For which values of t is the curve concave upward?…

A: Given query is to find indicated derivative.

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find solutions to the equation. 5 Tan²x + Tanx = 2 on x=2 on interval [77, 27). Round olutions to y…

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Q: Angle is in standard position and (-4, 0) is a point on the terminal side of . What is the value of…

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Q: a building so that its foot moves away from the building at the note of 3 feet per second. When the…

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Q: Consider the function f(x) = 6x2−4x+ 5 and the interval 1 ≤x ≤6. Find the number c that satisfies…

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Q: 9- The sum of the first 10 terms of an arithmetic sequence is 235 and the sum of the second 10 terms…

A: we need to find out the first term and commin difference of the arithmetic sequence.

Q: f(x) = (2x³ + 8), (1, 100)

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Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

Q: Find the derivative of the function f(x) = f'(x) = sin x COS X N

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Q: 40. Solve forx: -3+ tan² x=0

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Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

A: given  rate  r(t)=120e-0.02t∫eatdt=eata+c

Q: Convert from radians to degrees: 5n - b. 18 10

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

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3,    0 ≤ x…

A: I have appended the formula used in the solution part

Q: Consider the function f(x, t) = x³e-, where c is a constant. Find the indicated partial derivatives,…

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