What is the derivative of y= 2^x + x^2 / x-3

Q: 1. Solve for the values of x in the function below. f(x)=x3-4x-0.5x2+2

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Q: 1. Differential Equation d²y dx² 4. o'y dy 2. oz + + x 3. ()+()+4y=0 dv ds dx d'y 5. dx³ +5x=0 -8x=0…

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Q: 2) Suppose that P is a function defined as P(x) = 4x² - 7x + k, where k is some positive real…

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Q: You are also given a translation of the graph of y = |x + 11. -10-8-6-4-2 ⁹⁰ Write an equation for…

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Q: 12/ A company is manufacturing two types of autocycles for gents and ladies separately, which are…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: The range of the graph of y = cosx is a) 0 ≤ y ≤ 2π b) −1≤ y ≤ 1 c) −2л ≤ y ≤ 2ñ Od) y ER

A: Range is the set of y values corresponding to x-values of domain

Q: 30° 19 The height of a right triangle with base angle 30° and base 19 is Q

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Q: G(G(x)) = 1/((1/x-10)-10) what is the domain of G(G(x))?

A: Given: GGx=1x-10-10

Q: PART B (3.21x1043.21×104 )(0.2506) Express your answer in appropriate significant figures.…

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Q: Give an example to show that vectors are not commutative under the cross product operation. Justify…

A: The objective of the question is checking the commutative fail in vector cross product.

Q: 4 Write as a single logarithm. log x² + log xª O a) log x6 b) log x8 c) log x²√√x d) ¹ log x8

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Q: Find the distance from the point (-7,-2,0) to the line ä(t) = (-2,-5, 3)t + (-8, 2, 4)

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Q: Simplify. 84 x 86 O a) 1 Ob) 8³ O c) 8¹4 O d) 834

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Q: State the derivative. Do not simplify. f(x) = log(x) + log₂ (x)

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Q: State the derivative. Do not simplify. f(x)=sin(x) + cos(x)

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Q: Evaluate log2 8 to three decimal places. Oa) -0.195 Ob) -5.129 Oc) -12.000 Od) -4.710

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Q: If ƒ = {(1, − 1), ( – 3, 1), (2, the following values of f and g. a. f(1) b. g(2) = = 3 c. g = d.…

A: Given :- f=1,-1,-3,1,2,14,π,1 and g=2,-1,-3,-2,34,-1 To find:- f1 g2 g34 f2 g-3 fπ

Q: *) Write the parametric equations y = x = 4et, y = 8e-t as a function of x in Cartesian form. with x…

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Q: Use the slider to graph the standard position angle, then convert the degree to radians. Degree…

A: draw angle 174°

Q: Describe the transformations that when applied to the graph of y = sinx result in the graph shown. 2…

A: we can describe the transformation of the given graph .

Q: 3x²-4x+5 between 2 and 3. x³ x²+x-1 Find the integral of f(x) = 31

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Q: 7. Use algebra to determine whether each function is even, odd or neither. a. f(x) =xcosx+1 b. f(x)…

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Q: Find an equation of the tangent line to the curve at the given point. y = 2ex + x, (0, 2) y 11

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Q: The graph of f is given. Draw the graphs of the following functions. (a) y = f (x) − 2 (b) y = f (x…

A: We have to draw the graph of given function.

Q: Fill in the blank with “all”, “no”, or “some” to make the following statements true. ˆIf your answer…

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Q: (a) Let S be the solid obtained by rotating the region below a curve f(x). If S has finite volume…

A: As per our guidelines we can answer only 3 subparts of the given question. Here I am answering…

Q: LEARNING ACTIVITIES Directions: Give the coordinates of the center, foci, vertices, and covertices…

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Q: 7) Find √ (1/1₂ + 3x + 2) dx

A: Given problem:- ∫4x2+3x+2dx

Q: 2 TL (21) 3.The vertex is at (4,-4) and the directrix is y + 5 = 0.

A: Topic = Parabola As per guidelines, At a time only one question can be answered.

Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] f(x)…

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Q: Calculate the average rate of change for the function f(t) = 2x³+5 over the interval -1 ≤ x ≤ 2.…

A: Given query is to find the rate of change of function.

Q: 2,4 2) 2m²k

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Q: 13-y ≤ 8( カート f

A: 13-y≤8(y-4)

Q: B. Write the equation of a circle in general form given its center and radius. Then draw its graph.…

A: As per guidelines we can answer only three subparts at a time. So if you need more answer kindly…

Q: Prove whether u(x, y) = x² – 2xy + y² is a harmonic function on a set D= {(x,y) | x < y}. I

A: Here, the given function is ux,y=x2-2xy+y2 on a set D=x,y|x&lt;y. The function is a harmonic…

Q: The cost of making xc articl day is given C(x) = ½/2² x ²² + and the price function is f Find: O The…

A: Topic:- calculus

Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: Given f(x)=e^x+1/3x, find f'(8)

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Q: Find the area of the sector of a circle with radius 2 yards formed by a central angle of (T)…

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Q: Find the domain of the function. Give your result in interval notation. f(x)=7/1-2e^x

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Q: For the following set of numbers 3,5,0,1, find the value of each expression: X ouw IX 3 5 0 1 ΣX =…

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Q: If f(x) =−3x + 2 and g(x) = x² − 3x + 5, find: a) fog(x) b)go f(x)

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Q: g. What is the range of f(x)?

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Q: Expand 1) 3y³x³

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Q: W 2 2 -2

A: First we figure out the parent function of above graph.

Q: X y 2 3 4 7 8 5 7 9 5. 10 11 X 12 y 3 14 5 6. 12 7 18 9 11 11

A: Here, the domain of the function is the set of input values, that are x, and the range is the set of…

Q: Use partial fraction decomposition to evaluate the integral: 6r - 3 1² - dr = 2-r-20 Be sure your…

A: Topic = Integration

Q: Lim 60x2+X-1 ×→(-1/2)+6x²-3x-3

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Q: the directional derivative of f(x,y) = y^4+2xy^3+x^2y^2 at point (0,1) in the direction v = i +j is…

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Q: If two vectors have the same magnitude, then they are equal.

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