Consider the following. lim (3x) x-2 y 2 1 1 2 Use the graph to find the limit (if it exists). (If an answer does not exist, enter DNE.)

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Q: 7. Suppose that the series uk converges, and Σvk diverges. Show that Σ(uk + vk) and lau a) both…

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Q: A tax of $6 per unit is imposed on the supplier of an item. The original supply curve is q = 0.5p -…

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Q: 4x²+x+2 1. Find the general antiderivative of x+1

A: *Note - As per our company guidelines we are supposed to answer one question. Kindly repost other…

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Q: (4) Find the cost function each marginal cost function. (a) C'(x) = 4x - 5; Fixed cost is $8.

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Q: b) If y sec(x), prove that (1) y' sec(x) tan(x): (2) y+y=2y!

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Q: Find the equation of the plane passing through the three points. P =(4,-1,8), Q = (1, 1, 1), R = (3,…

A: P=(4,-1,8)Q=(1,1,1)R=(3,1,-2)

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A: Given,A box with an open top is constructed from a rectangular piece of cardboard with dimensions 13…

Q: 4-x-x² 2x - 1 Evaluate the following expression. For f(x) = if x ≤ 1 if x > 1, lim f(x) x→1

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Q: Question 86 Apply the Laplace transform to resolve th y"= 5g²-6y=0 y (0) Initially, denote the…

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Q: (6) Evaluate the following integrals x³ + 2x x² + 4x² +7 dx (a) [

A: The given integral

Q: For the differential equation y" + 4y + 13y = 0, a general solution is of the form y=e-2(C₁ sin 3x +…

A: Given the differential equation y′′+4y′+13y=0 and the general solution y=e−2x(C1sin⁡3x+C2cos⁡3x), we…

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Q: The monthly supply and demand for a particular bike is represented in the accompanying graph. The…

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Q: Determine the indefinite integral. (Hint: Use an identity.) Stank tanh2x dx

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Q: Let f(x) = -5 -4 -3 -2 The graph of f is given below. Use the graph of f to determine the given…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: Please write your solution. Thank you so much! Determine the particular solution of xy' + y = 0 if…

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Q: Find the domain and range of the function graphed below. Use interval notation. -5 -4 -3 -2 -1 A)…

A: To find the domain and range of the function graphed below.

Q: Sketch the region enclosed by the given curves. y = 13 − x^2,    y = x^2 − 5 Find its area

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Q: lim X18 5x² - 3x + 1 x² +2 x2

A: We have to evaluate the limit.For this we will take common from both numerator and denominator and…

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Q: Consider the function f(x)=9x-x² and the point P(2, 14) on the graph of f. Estimate the slope of the…

A: we have given function

Q: Express the given quantity in terms of sin x and cos x. (x - 1) 2 sin sin (x-1)=0 2 (Simplify your…

A: To express the given quantity in terms of .

Q: 2. A tower is 450 meter above the ground. Suppose that a calculus is dropped from the top of the…

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Q: y=3+x-5x2+x3

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Q: Finding equation of tangent to the curve at x=0

A: To find the equation of the tangent line to the following curve at .

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Q: 21

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Q: Find the limit of the function (if it exists). (If an answer does not exist, en x2-9 lim X-3 x + 3…

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Q: Sketch the region enclosed by the given curves. y = 2/x,    y = 8x,    y =1/8x, x>0 Find its area

A: We have to sketch the region and find its area.We will first find the intersection points and then…

Q: 9. Find a function f such that ƒ'(x) = x5 + 20 and the line 12x + y = −20 is tangent to the graph of…

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Q: Let 8: . Find the reference angle for 0. . Use the reference angle to draw and label the reference…

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Q: 2 2 e graph of Ax² + Bxy + Cy² + Dx + Ey + F thods are involved in recognizing and/or describing…

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Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (5, 2), (3,…

A: Let suppose the vertices of the triangle is Then the Area of the triangle is given as follows

Q: 7. lim x-1x³ 2x²-x-3 + 2x² + 6x +5

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Q: R B G K The graph of y = 2* is shown in black (K). Match each equation with a graph above. y = 2 + 1…

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Q: Let f(x) = x² 1 1+x² The graph of f is given below. Use the graph of f to determine the given…

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Q: H.W. Salve the diff. eque (4y-cosy) dy/dx=3x² = 0, y (0) = 6₂

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