Find the limit. 7- 7 tan(x) X→π/4 sin(x) = cos(x) lim

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Q: QUESTION 1 At 1 pm, a bacterial culture weighted 100 grams. At 4.30 pm, it weighted 250 grams.…

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Q: [4³6 4x e¹4x dx =

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Q: Let g be the function defined by g (x) = √6. Let R be the region in the first quadrant bounded above…

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Q: 4. Solve the initial value problem dy dx - xe tu e³y-x y (0) = In 4

A: I have answered step by step in detail....go through the solution

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A: Given: Gx=x2-1x-1, for x≠12,  for x=1   The function will be continuous at x=c when,…

Q: 2) f(x) = (x + 4)(x - 2)²

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Q: K Simplify the function algebraically and find the limit. x²+2x-8 lim X→2X²-4x+4 Simplify the given…

A: The given limit is: limx→2x2+2x-8x2-4x+4

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Q: For the demand function D(p), complete the following. 100 D(p): р

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Q: 6. Given the following table, a) Find the best fitting cubic model completely defined and rounded to…

A: Given: Let, Selling Price = x (dollars) Revenue = y (dollars)

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Let r₁(t) = (-7, -3, −2) + t(0, −1, −1) and r₂(s) = (-1,1,5) + s(2, 0, 1). Find the point of…

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Q: Solve the Initial value problem (dy/dx)-y=7ex+12e7x with y(0)=9

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A: According to the bartleby guidelines we supposed to do the first three subparts of multiple subparts…

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Q: Consider the graph below. Find an equation of the form y = A sin(Bx) + D. 7 6 5 4+ 3 2 1

A: graph

Q: 10.) Sketch (1₁-2, 3) and (-131 31-1). Why do there vectors point in opposite directions?

A: Given that, the vectors are A = (1,-2,3)  and  B = (-13, 23, -1). Sketch:

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A: Given :-Areas A1=5 , A2=3,A3=2, A4=1

Q: Find k so that the following function is continuous on any interval. j(x) = X ≤ 0 0 < x k= Jkcos(x),…

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Q: Find f(x) dx for the function f(x) graphed below. [Hint: No calculus is necessary-just as we used…

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Q: According to a study, each additional year of education increases one's income by 19%. Therefore,…

A: Question - According to a study, each additional year of education increases one's income by 19%.…

Q: A farmer wants to build a rectangular pen and then divide it with two interior fences. The total…

A: Let width = yand length = x Area( A ) = 936 m2

Q: . Find the shortest distance between the: x−1_y−3 a. point (1, 3, 2) and the line *-¹-y-3_2–7 1 -1 2…

A: Given planes:- P1: x+2y-5z-10=0 P2: 2x+4y-10z-17=0

Q: 1. Sketch the graph of f(x)=sinx and its reciprocal function, g(x)=cscx on the same grid from -2л…

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Q: 1. The graphs of y = f(x) and y = g(x) are shown below. Determine lim (f(x) + g(x)) and lim (f(x) ·…

A: We will compare both graph

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A: Standard equation of elliptic cone    Given equation :

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Q: Use the graphs to evaluate the expressions below. 6 5 4 3 2 1 -1 -1 f(x) 2 3 x 4 5 6-1 6 5 3 2 7 -1…

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Q: The shaded region between the graphs of y=-2x² + 20 and y = 3x - 15 is displayed below in orange. 25…

A: Given The shaded region between the graphy = -2x2 + 20 and y = 3x - 15 First find intersection…

Q: Match the functions with the graphs of their domains. 8. 1. f(x, y) = x + 3y 2. f(x,y)=√√√x³y² 3.…

A: Consider the following,

Q: 5. (a) dy/dx = xy² dy/dx = y² (b) (c) dy/dx = y² + x dy/dx= x² + y² (d) 2 2 0 -2 1 2

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Let R be the region enclosed by the x-axis, the line x = 4, and the curve y = ln(x). R y = ln(x) 4 X…

A: Given:Let R be the region enclosed by the x-axis, the line x=4, and the curve y=ln(x). A solid is…

Q: Consider the function f(x) = X-7 |x|-7' (a) Find the discontinuities of f(x). X (smaller) X (larger)…

A: Given, f(x) = x -7IxI  -7

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Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A: given  N(t)=0.4+1.7e0.01trelative rate of change of debt is  dN(t)dtwe know  detdt=rtd…

Q: Point      Line (-8, 7)      x + y = 13 (a) Write the slope-intercept form of the equation of the…

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Q: Find the distance in between the point P(2,3,−4) and the point Q(3,1,−3)

A: given points isP(2,3,-4)   and  Q(3,1,-3)formula for distance is D=(x2-x1)2+(y2-y1)2+(z2-z1)2

Q: 1 3 2 1 To find the blue shaded area above, we would calculate: ·b [ f(x)da Where: a = f(x) = 2 3…

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Q: If the equation: P=40e^-0.101t is rewritten in the form P=P0a^t What is P0? what is a? Is this…

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Q: Let f(x) lim x → 5- lim x → 5 + = lim x → 5 (4- x Use a graph to determine the following limits.…

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Q: Solve the solution for the differential equation of x²y'+xy+2 = 0 Also indicate what its type of…

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Q: QUESTION 1 Let F(x,y,z)=2yzî+5x2zî+ 1xyk. The magnitude of Curl F at (4,2,1) is equal to: O…

A: Given;  F(x,y,z)=2yzi+5x2zk+1xyk at(4,2,1) Repost the next question.

Q: The 2000 population of Jacksonville, FL was 736,000 and was increasing at a rate of 1.49% each year.…

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