Given the piecewise function below: >= {*² -x²-x+4, 0, f(x) = - X, - -2 ≤ x < 0 x = 0 0≤x≤2

Q: This is incorrect

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Q: Match the equivalent expressions. 5 = log₂ (x) 2= log(x) x = log₂ (5) x = log₂ (2) a 2t = 5 b 5² = x…

A: We know  if logay=x⇒y=ax

Q: Consider the following. f(x) = 7- 2²/12 Determine the value that the function f approaches as the…

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Q: Sketch the graph of 6y^2+ x - 36y + 55 = 0. Identify the foci an verticies.

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Q: Identify the inflection points and local maxima and minima of the graphed function. Identify the…

A: Here we have to apply the application of differentiation.

Q: хрхлах б

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Q: Evaluate the following limit using L'Hospital's rule. lim x→∞ ln(x3) / ( 4√(2x+5))

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Q: Find the surface area of the helicoid (spiral ramp) with vector equation F(u, v) = (u cos v, u sin…

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Q: sot agovno Find all numbers x for which the power series (A) 3' 3 converges. 3k k=0 1912 (B) [-1, 1]…

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Q: a. Write row 8 of Pascal’s triangle, and explain how you found it.  b. Write the 11th row of…

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Q: vode bavloven al 9 noget s dw bowioneg he volume of the solid of revolution obtained by rotating the…

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Q: Let f(x) = 4x and g(x) Find the area of the region enclosed by f(x) and g(x). = 8x². Answer:

A: Now f(x)=4x is a straight line equation and g(x)=8x^2 is a parabola

Q: A farmer finds that if she plants 75 trees per acre, each tree will yield 50 bushels of fruit. She…

A: Let x be number of additional trees planted

Q: Find the divergence of the field. F = 2ze5xyz + 2xe5xyzj + 2ye5xyzk div F =

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Q: When a baseball park owner charges $5.00 for admission, there is an average attendance of 100…

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Q: A cylinder is inscribed in a right circular cone of height 4 and radius (at the base) equal to 6.…

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Q: Find a²z ds, where C' is the line segment from (0,-3,3) to (-3,2,-1) C

A: We have to find the integral ∫Cx2zds, where C is the line segment from (0,-3,3) to (-3,2,-1).…

Q: Solve the first order linear differential equation E

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Q: Draw the spin field F = - 3y √x² + y² -i+ 3x j along with its horizontal and vertical components at…

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Q: If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air…

A: We have given function of speed and we have to find the limit.

Q: Use Separation of Variables to find the general solution. 2 (1 + x²) y = x³y (Express numbers in…

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Q: Consider the following function. 3 |x ³³ 11 f(x) = X 0.5 0.9 0.99 0.999 -5 (a) Find the domain of…

A: Consider the graph of the function

Q: Determine if the function f(x) x√9-x satisfies the hypotheses of Rolle's Theorem on the interval [0,…

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Q: 3 luate (x3 + 1)dx. -1 20

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Q: 7 If sin t = and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and 9' tan (2 t)…

A: To find the trigonometric values of the following functions.

Q: Find the area of the region enclosed by f(x) and the​ x-axis for the given function over the…

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Q: Determine whether the alternating series (-1)^+1- converges or diverges. n=2 9(Inn)² Choose the…

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

Q: Find the most general antiderivative or indefinite integral. Sle-5x + 3 ₂-5x + 3x) dx (e¯ 5x + 3x)…

A: let L=∫(e-5x+3x)dx formula used are  (i)  ∫eaxdx=eaxa+c(ii)  ∫axdx=axlna+c

Q: What is the value of f(x)=3^x+1 -2 for f(–1)? A    –2 B    –1 C    1 D    2

A: f(x) =3x+1-2

Q: B(x) = 3x2/3 - x (a) Find the interval of increase. (Enter your answer using interval notation.)…

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Q: The velocity (in ft/s) of an object moving along a straight line is given by v(t)=−18t+10 Find the…

A: Consider the given velocity function. vt=-18t+10

Q: Find the local linear approximation of the function f(x) = √√/21 + x at zo √24.9 and √25.1. (a) f(x)…

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Q: This  is incorrect

A: ∫∫D cos(x2 + y2 ) dA  = ?      Where D { (x,y) l 4 ≤ x2 + y2 ≤ 46 }

Q: Determine the directional derivative of f(x,y)=x² + x cos(3y) at (1,0) in the direction of (3, 4).

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Q: ∞ <=1 k¹/4 k7/4 + ln(k)

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Q: Consider the following function. f(x) = 2x 1 - -10 X 0.5 0.9 0.99 0.999 y X 5 10 100 1000 -2 f(x) L…

A: We are given the function f(x)

Q: Convert the point (x, y, z) = (4, 1, 5) to spherical coordinates. -

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Q: 2. Sketch a continuous graph that satisfies the following set of conditions: f'(x) > 0 when x f'(x)…

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Q: Find the complex zeros of the quadratic function. Graph the function. f(x) = 10x²+2x+1 (Simplify…

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Q: Given the vector u = |ū| - 37 - 5j, find the magnitude of the vector. Question Help: Post to forum

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Q: The curves 1(t) = (- 5t, t, - t³) and 72 (t) = (sin(4t), sin( – t), t - ) intersect at the origin.…

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Q: Let  f (x, y)  =  xy4 + 5x2y + 2x2 (a) Find  fx . (b) Find  fy .

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Q: Racetrack Design The accompanying figure depicts a racetrack with ends that are semicircular in…

A: The length of the track is 880 ft

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

A: An integral,

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft³. If the…

A: Given data

Q: Given the vector function r(t) = (2t, - 5t², t5 + 6) Find the velocity and acceleration vectors at t…

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Q: (a) Find the intervals on which ƒ is increasing or decreasing. (b) Find the local maximum and…

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Q: The terminal point P(x, y) determined by a real number t is given. Find sin(t), cos(t), and tan(t).…

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Q: (a) Find a vector parallel to the line of intersection of the planes -4x-y-z = 6 and −2x + 2y + 4z =…

A: P1: -4x-y-z=6P2: -2x+2y+4z=-4

Q: Q1. Which of the following constraints are not linear or cannot be included as a constraint in a…

A: A function f(x) = a1x1 + a2x2 +a2x2 of the form is called linear .    Now Let consider a) 2x1 + x2 ≥…