Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3x² + 17x - 6 lim X-6 x² 36

Q: Problem: A firm's demand function is 22-0.50-P=0 and its Coot function is AC = ± 0² -8.50 +50 + 90/Q…

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Q: Does the parabola y = 3x² - 20x + 3 have a tangent whose slope is - 2? If so, find an equation for…

A: Given data: Parabola y = 3x2-20x+3 Slope is -2

Q: Compute + 7 and u-27 given that a. u + v = b. u-27= F 13 = H and v || = [23]

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Q: Use the following tables for f(x) and g(x), and just fill in the tables shown below: X 0 1 2 3 4 5 y…

A: We can find the function values by using the function properties.

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. √…

A: Greens theorm ∮( Pdx + Qdy ) = ∬( ∂Q∂x - ∂P∂y )dA

Q: use the limit definition to compute f′(a) and find an equation of the tangent line.

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Q: b. Consider the following graph of a function g(x). Estimate the following limits (using an answer…

A: Graph of the function is given, we have to find the given limits.

Q: 2. Determine the center and length of radius of the circle given by the following equation…

A: Given equation of circle x2 + y2 - 16x + 48 = 0

Q: 7x+4 = 492x-1

A: Given 7x + 4 = 492x - 1

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A: We perform vertical line test in order to check whether the given graph is a function or not.    In…

Q: Find curl(F x G) = V x (F x G). F(x, y, z) = i + 9xj + 7yk G(x, y, z) = xi - yj + zk

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Q: A new car worth $24,000 is depreciating in value by $3000 per year. Complete parts (a) through (c).…

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Q: 14. Two vectors, a and 6, have a common starting point with an angle of 120° between them. The…

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Q: Let ƒ : R² →→→ R be defined by f(x, y) = (x² + y²) ³. Find f(x, y). Note: the partial derivative at…

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Q: a. A population of herbivores satisfies the growth equation Yn+1 = 1.03yn, where n is in years. If…

A: NOTE: Refresh your page if you can't see any equations. . the solution for the first part is already…

Q: How much work is done raising a 2 lb mass to a height of 12 ft above the ground? (Use decimal…

A: The magnitude of the weight of the mass, w = 2 lb The displacement of the mass, d = 12 ft To…

Q: Use the formula k(t) k(t): = = ||r' (t) x r"(t)|| ||r' (t) || ³ r(t) = esti + e-tj to find (t).

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Q: differentiable at x = 0 and that u(0) = -4, u'(0) = 1, v(0) - 7, and v'(0) = 3. Find the values of…

A: Solution:

Q: Find the slope of the graph of the function g(x) = tangent to the graph at that point. The slope of…

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Q: Find V × (V × F) if F(x, y, z) = 4xy j + 7xyz k. V x (V x F): =

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Q: 16. Andrew deposited PHP 130,000 in a * certificate of deposit (CD) paying 4% interest, compounded…

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Q: Given this graph of y=f(x): which of the following is a graph of y=f′(x)?

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Q: Select all of the following graphs which represent y as a function of x. 5 O

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Q: 9. * In 3²x² = 3x+3, O True O False x = -1 and 2/3

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Q: (a) What is the slope of the line with vector equation r(t) = (-4+ 8t, 2 + 5t) ? (b) Find parametric…

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Q: True or False log32x² = log32 + 2log3x O True O False

A: The following properties of log has bben used to solve this question loga×bc=logac+logbc…

Q: xp zp ^p rəх JJJ, 6. . In z

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Q: 1 64 O True O False A 80

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 5x 1 lim x→0.2¯ 15x³ – x²1

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Q: 21. dx dt4 t = 16 x=t-3/4

A: here we have to find the forth derivative.

Q: If 3x − 4 ≤ f(x) ≤ x² − 3x + 5 for x ≥ 0, find_lim_f(x). - - X→ 3

A: Given 3x - 4 ≤ f( x ) ≤ x2 - 3x + 5limx→3f( x ) = ?

Q: Make a problem solving (a hard one) regarding the family of curves elimination of arbitrary constant…

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Q: 22. f(x) = 2x³ — 3x² + 2x

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Q: Use the method of tubes (also known as the "method cylindrical shells") to determine the volume of…

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Q: Find the center of mass of a thin plate of constant density & covering the region bounded by the…

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Q: Consider the region R between y = x² + 3, x = 0, x = 2, and y = 0. Use the Shell Method or Disk…

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Q: Find the equation for the plane through the points Po(-2,2,2), Qo (0,2,4), and Ro(3, -2,-4). ...…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: As we know that volume of solid obtained by rotating the region about x axis V = ∫abπy2dxGiven y = x…

Q: Let f(x)=1/(x-2) Find the limit of f(x) as x approaches 2. If it exists, find its value. And if it…

A: See this solution in below.

Q: Differentiate the function G(x) = 7x−7 + 5x−⁹. Answer G'(x) =

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Q: Find the directional derivative of fat P in the direction of a. f(x, y) = 2x¹y³; P(1, 5); a = 7 i-…

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: d. lim xx e. x 4x5 2x5 +2 lim x-x f. lim x48 x2 +x+1 4x3x² +1 22) x + 2 2x

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Q: a)(a +5b)(2a-3b) b)3x (x-3y)-(x-3y)•(-3x+y)

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Q: Let f(x) = 3x²16x + 16 3x² + 7x + 2 This function has: 1) A y intercept at the point 2) x intercepts…

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Q: The function f(x) = ∞ Σ (-1)*x?n+1 n=0 2 2x has derivatives of all orders, and the Taylor series for…

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Q: Suppose the polynomial ax² + bx + c corresponds to the vector (a, b, c). To what polynomial will (5,…

A: To determine the corresponding polynomial for given vector.

Q: Differentiate the function F(t) = Answer Scost 1² F'(t) =

A: GIven F( t ) = 2- 5costt2

Q: Verify if the given function is a solution of the indicated differential equation. 1. y = In…

A: Verify if the given function is a solution of the indicated differential equation. (1) The DE is…

Q: ticle is located a distance x feet from the origin e in moving it from x = 1 to x = 3?

A: given force  function is f(x) = x2+2x then we have to find work done for x =1  to x =3 work done =…