Solve the following for C. (Assume that C > 0) C (4x+8) dx 0 C = = 90

Q: What rational function satisfies these conditions? lim f(x)=10 (x-->3), lim f(x) =2 (x--->…

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Q: Let f(x) = {ax² (2x + b differentiable (a) 1 at x = 1. x ≤ 1 x>1 (b)-1 . Find a so that f is (c) 2…

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Q: Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the…

A: We need to graph the given functions and also need to write down the relationship.

Q: The weekly demand for Math Wars - A New Slope video games is given by p= 720 X-8 + 2500

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Q: Find all values of 8 >0 such that |-2|< 6 ⇒4r-8 <3 Your answer should be in interval notation. Make…

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Q: F(x) = x³ - 2x² b) manipulate the function algebraically and differentiate without 2x2 alsolve with…

A: Given function:- fx=x3-2x22x2

Q: The weekly demand for Math Wars - A New Slope video games is given by p= 150 x-3 + 1500 where x is…

A: Given weekly demand functionp=150x-3+1500

Q: 2 Given tane = find csc0, cos0, sec, cot0, sinė if 0 is in Quadrant III. 3

A: Given  tan θ = 23.

Q: Obtain the particular solution of (3x² - 2y2)y' = 2xy when x = 0 and y = -1. Hint: Homogeneous…

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Q: Question 4 Find the limit: lim, o O infinity O O (E) 1 O-1 0 0 sin(x²)

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Q: Given: f(x) = x² + 5x + 4 and g(x) = x + 1. Solve for f(2) g(1) 3 07 18 O(E)

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Q: Find 원 when ax + cos(by) = c, where a, b and c are constants. b (a) —-cscy (c)csc(by) b (b) -…

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Q: 7) Write the algebraic representation for the given piecewise function, using function notation. (…

A: When x≤1f(x) is the upward parabola with vertex (0,-2)

Q: 5. Find the exact value of each x = [0, 2π) for which sin (2x) = √3 cos (x). Leave answer in exact…

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Q: Use the integration by parts to evaluate the following integral by assuming u = 6.³ x² dx (cos x + x…

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Q: c) lim 818 sin(x+3)

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Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 1.…

A: Given y=x3x-14 and point 2,8

Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = = 4. 44 x+y+z-35 =…

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Q: 8. After p practice sessions, a student could perform a task in T (p) = 36(p + 1) 3 minutes. Find…

A: After p practice sessions, a student could perform a task in T(p) = 36(p+1)3 minutes We have to find…

Q: Find the length of the curve for r(t) = (2t, 3 cos t, 3 sin t), for 0 ≤t≤ 2.

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Q: Use this table about differentiable functions f and g to answer the following. x f(x) | f'(x) g(x)…

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Q: Find an arc length parametrization of r(t)=⟨e^t*sin(t),e^t*cos(t),9e^t⟩

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Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 1. y…

A: Recall: The slope of tangent line to the curve y is, mT=y'x0,y0 The equation of the normal line is,…

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Q: a Ső 8 ea - e X a dx

A: ∫0aexa-e-xadx=∫0aexadx-∫0ae-xadx=ae-1-a1-1e=ea+-2e+1ea

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Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

A: limx→ -142x

Q: Find the linear approximation of f(x)=√x when x = -27.

A: Linear approximation is an approximation of a general function using a linear function. It is useful…

Q: Consider the function Compute fx(1, 2) and f,(1, 2) f(x, y) = 3x²y + 5x²y²

A: Given, f(x,y)=3x2y4+5x2y2

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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Q: 2. Find the following limits without using a graphing calculator or tables. x-5 a)lim x-5 2x²-9x-5 -…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y = ((x³- 2)/(x³ + 1))³ dy/dx =3( x³-2/ x³ +1 )² × [ ( x³ + 1)3x² - (x³ - 2) .3x²/ (x³ +1)² ] dy/dx…

Q: Find given the set of parametric equations dy dx x = csc² (at) and y = cot(at), (a) — cot(at) 1 (c)…

A: The objective of the question is determine derivative by help of parametric equations.

Q: (x + y + 1) dx + (2x + 2y + 1) dy = 0 Give the: a. homogeneity b. degree c. reducible…

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Q: Find the following using the table below. I 1 2 3 4 f(x) 4 2 3 1 f'(x) 1 2 3 4 4 g(x) g'(x) 4 2 AN…

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Q: Find the equation of the normal line to the curves at the point of tangency, if given. 1.…

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Q: If z = xy² and x = e sin(t), find the following derivative using the chain rule. Enter your answer…

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Q: If f(1) = 8, write an ordered pair that must be on the graph of y = f(x - 11) - 7.

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Q: 2x + 3y - 1) dx + (4x +6y + 2) dy = 0 Give the: a. homogeneity b. degree c. reducible…

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Q: 3. lim_ log₂ (x) x-15 4. lim (cos(x)-1)

A: answer 3 and 4 only Given :3.limx→15log2x4.limx→0cosx-1x

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Determine the rate of change of the function g(x, y) = y² tan(x − 2y + 4) 2) in the direction of the…

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Q: Determine the domain for the following equations (#'s 20 and 21). If you restricted the domain…

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Q: Solve

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Q: Find lim x² sin X-0 O O Choose the correct answer below and, if necessary, fill in the corresponding…

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Q: π π Let f(x) = sinx, -2 ≤x≤ and g(x) = cos x, 0≤x≤. Find the exact value of the composite function.…

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Q: 12. Determine the equation of the line tangent to the curve y = 4 = 4(x + 2)²; at the point (4,36).…

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Q: Consider the function f(x) = sinx near x = πt. Find the linear approximation error when using the…

A: Given data:- The given function, f(x)=Sinx     x=π

Q: fim 1 t->-∞ 1 + cot = "= 8

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