Find the value of f(7) when 7 1 cost - 2 sin 3 3 f'(t) = and f (1) (7) = 6. 2 3

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Q: Exact Differentail Equation M (x,y) dx + N (x,y) dy = 0 is an Exact DE when ∂M/∂y = ∂N/∂x Solution…

A: Here we have to use the concept of differential equation

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Q: Find the derivative. tan x y=2x-3 2 dx 蚊ě dy (2x-3)2 dy sec2x - 2tan x (2x-3)2 116 dx (2x-3)sec x…

A: y=tanx2x-3formula used (i)  d dx(xn)=nxn-1(ii)  d dx(tanx)=sec2x(iii)  d dx(ab)=b×d dx(a)-a×d…

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Q: 7) f(x) = In x² 3x+4

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Q: An antique lamp was worth $185 in 1965 and increases at 15% per year, giving a value formula…

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Q: Suppose f is a differentiable, one-to-one function with the values shown below. f(7) = 3 F(9) = 7…

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Q: F(t)= e²¹[(sin² 3t) (cos²31)]

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Q: The limit is a right-hand or left-hand Riemann sum Σ f(t;)Δt. For t; = πί/n, write the limit as a…

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Q: dy Find the equation of the solution to = xy through the point (x, y) = (1, 2). dx Submit answer…

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Q: Use separation of variables to solve the following differential equati problems: (a) (b) dz dt dy dt…

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Q: In long division, you know it is time to stop dividing when the degree of the remainder is less than…

A: Find statement is true or false

Q: 33. Let g be the inverse of f(x) = x³ + 2x + 4. Calculate g(7) [without finding a formula for g(x)],…

A: Let g be the inverse of fx=x3+2x+4.

Q: Determine if the following statement is true or false. The points P₁ (12, 8, 9), P₂ (6, 4, 0), P3…

A: P112,8,9,P26,4,0,P30,-6,-9

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Q: Find the area of the region that lies inside both curves. r = 5 + 3 sin 0, r = 5 + 3 cos 0

A: The equation of curves are r=5+3sinθ  and  r=5+3cosθ.

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Q: If f(x) = x³-6x+4 is divided by x + 2, by the Remainder Theorem f(8) = -2. O True O False

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Q: Suppose that from the beginning of 2007 to the beginning of 2013, a country consumed gasoline at a…

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A: Let  t:U→U. A vector u is a fixed point of T if T(u)=u. Prove that if T is linear, the set of fixed…

Q: 2. Find the derivatives of the following functions. (a) f(x) = e sec x

A: We have to solve the derivative of the given function.

Q: Obtain the power series representation of x/(x^2+16)

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Q: (b) Where is the graph of f increasing? O [-2,-0.47] and [-0.63,0.63] O [-0.47,0.47] O [-2,-0.47]…

A: given function is ;- f(x) = 3x3-2x    and   x∈[-2,2](a) graph :- option (a )   be correct

Q: -2x Find the volume of the solid generated by revolving the region R bounded by y=e , y=0, x=0 and x…

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Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the…

A: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the…

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A: ∫23xlnx dx  Evaluate the definite integral.

Q: Suppose that a company introduces a new computer game in a city using television advertisements.…

A: Px=1001+51e-0.16x Put x=0 P0=1001+51e0=1001+51 P0=10052=2513 P0=1.9207 Rounding to nearest tenth…

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A: Given that , z=14-x2-xy-y2+18y find the relative maxima , relative minima and saddle points.

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Q: 11) The price of a truck will depreciate exponentially from $45,000 in 2015 to $13,000 in 2021. a)…

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Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

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Q: Find the partial derivative of f(x, y) = 8x³ - 7xy² + y³ with respect to x at the point (2, 1, 51).

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Q: 1 Carefully show all work and circle your answer. (a) Use l'Hospital's rule to find lim xsin(π/x).…

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Q: Evaluate cos (35 6

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Q: of Find the most general antiderivative, F, the function 1. F(x) 2. F(x) 3. F(x) 4. F(x) 5. F(x)…

A: f(x)= 9x2-14x+8 We have to find antiderivative

Q: Use the remainder theorem and synthetic division to find the value of f(-3) for f(x) = 2x³-4x² +85…

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Q: Sketch a graph of the derivative of the function f shown to the right. Which graph below shows a…

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Q: The First Gate Having crossed the room, you find yourself at another gate with a required passcode.…

A: The function is fx=6x2-24x+2 on the interval -4,4.

Q: 6) f(x) = ln(x²-3x+1) »/(x)=(2x+4)e

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Q: Describe the behavior as n increases. W f(n) = |(i-¹)n|

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Q: 1. Fill in the chart. f(x) ex ax In x f'(x) f(x) arctan r arcsin x f'(x)

A: We need to find the given derivatives:

Q: 8. r= 4 cose 2

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Q: A frozen hot dog at -32° Fahrenheit is placed in a room at 70° Fahrenheit. After 15 minutes, the…

A: The initial temperature of a hot dog is T0 = -32oF. The temperature of the room is Ts = 70oF. The…

Q: A can buoy is to be made of three pieces, namely, a cylinder and two equal cones, the altitude of…

A: A can buoy is to be made of three pieces, namely, a cylinder and two equal cones, the altitude of…

Q: A silo (base not included) is to be constructed in the form of a cylinder surmounted by a…

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