Evaluate the following limits. x lim x 5 x 5 lim x+5+x-5 I x lim x 5 x 5 P HOT

Q: 6) 3x² = 7x + 20 -3x²-3x²

A: given information

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Q: Let F(x) = f(x) and G(x) = (f(x))³. You also know that a¹ = 12, ƒ(a) = 3, f'(a) = 5, ƒ'(a³) = 5 Then…

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Q: 1.) Divide and write the quotient in standard a + bi form. 5 - 2i 2 + 4i

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Indicate if the zeros are significant in each of the following measurements. Drag the appropriate…

A: The given measurementsAs we know leading zeros (zeros to the left of the first non zero digit) are…

Q: Sketch a graph of a function g that satisfies all of the following a. limh(x) = h(-2) = 1 X-3 b.…

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Q: Find the length of the curve for the spiral: r=e/√2, 0≤ 0≤T

A: for a curve r(t) on the interval [a, b], the formula to find the length of the curve is L

Q: Find the limit of the sequence {a} if it converges; otherwise indicate that it diverges, where 9+8n…

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Q: 8. Consider the vectors u, v and w. If 2ũ = [2, -2, -6], ỷ = [-1, 1, 2], and w = [-1, 1, -1] find…

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Q: Consider the graph of a function f shown here: 3 (c) 6 ƒ(9) — ƒ(6) 9-6 (d) f'(3) ? 9 Using the…

A: From the given graph

Q: (1.4.37) If you graph the function 1-e² 1+ e == You'll see that f appears to be an odd function.…

A: We have to prove that the given function  is an odd function.Concept Used: If a function f(x) be…

Q: 2 Consider the general quadratic function f(x) = ax² + bx + c, with a #0. a. Find the coordinates of…

A: Consider the general quadratic function f(x)=ax2+bx+c, with a≠0.

Q: 1 Find the inverse function (on the given interval, if specified) and graph both f and f on the same…

A: The given function  for .The aim is to find the inverse function and sketch its graph.

Q: 14. (1.3.28) Given the functions Find a) f + g b) f-g c) fg f(x)=√3 x g(x) = √√√x² - 1

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Q: All edges of a cube are expanding at a rate of 7 centimeters per second. (a) How fast is the surface…

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Q: Find '(t), given r(t) = (-4e-²t, 4t² + 3, 3 sin(−3t)). r' (t) =

A: Given vector is as follows

Q: 14. Starting with a 7-unit jug and a 10-unit jug, is it possible to obtain one jug with exactly 1…

A: Note: Since you have posted multiple questions, we will provide the solution only to the first…

Q: Find the differential dy of the given function. y = 7x²5 dy =

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Q: In 1980 the population of alligators in a particular region was estimated to be 1600. In 2007 the…

A: given that population in 1980 is 1600, whereas population in 2007 is 6500.t=2007-1980=27 years

Q: Which of the following expressions are identities and which are equations? (a) cos 2x = 2 sin a cos…

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Q: 18. Find the average X-coordinate of a point in the region to the left of the parabola x = 1 - y²…

A: Given :- The parabola .To find :- The average x-coordinate of a point in the region to the left of…

Q: 3. Consider the curve y = x² for 0 < x < 3. Set up, but do not evaluate, the integral expressing:…

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Q: (1.1.39) Find the domain of the function F(p) = √2-√P.

A: given function is

Q: If f(x) = , find f'(4), using the definition of derivative. f'(4) is the limit as x→ 4 expression…

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Q: x³ dx-y³ dy= 3xy (ydx - xdy)

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Q: Find u. v, uu, ||u||², (u - v)v, and u . u = , V = (a) (b) u. V u . u (c) || u ||2 (e) (d) (u. v)v…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the volume of the solid obtained by rotating the region bounded by y = 2x², x = 2, x = 5, and y…

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Q: Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian…

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Q: find the derivative by using the product and or quotient rule  g(w)=e^w(w^3-1)

A: Given that function  to find the derivative of the given function

Q: The equations of the normal line to the surface z = the point (1, 2, 1024) is r(t) = (x, y, 4x7y³ at…

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Q: Suppose you, as a young entrepreneur, are starting a small poultry business. Your parents have…

A: As per our guidelines we are allowed to answer only three subparts of the given problem . Kindly…

Q: 6. ABCD is a parallelogram. X is the midpoint of AB. Y and Z trisect CD. Let XŻ = u and XY = v. Draw…

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Q: 76 = ; 0 ≤ t ≤ 1 3 x = t¹, y

A: we have given curve

Q: Solve zy' = 4y - 7c, y(1) = 4. (a) Identify the integrating factor, a(z). a(z) = [ (b) Find the…

A: To solve the following initial value problem.

Q: Consider the following two lines in space 1 2 = 6t , y =ut y = 4 +5₁ 2 = −1+S 72=X :17 2₂: X=15

A: Given that the following two lines in space

Q: If f(x) = 2x²-3x+8, find f'(-1). f'(-1)= (Simplify your answer.)

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Q: Determine whether the function is continuous and differentiable at x = 2. If a y-value is undefined…

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Q: 24. By analysing the normals, determine if the two planes intersect in a line, are parallel and…

A: If  is the angle between the planes  then

Q: Sketch a graph of a function g that satisfies all of the following conditions: a. limh(x) = h(-2) =…

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Q: Determine whether the series converges, and if it does, find the sum: 47+2 5. Σn=0 5

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Q: In 1980 the population of alligators in a particular region was estimated to be 1600. In 2007 the…

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Q: Find the point at which the line y = 6x - 17 is tangent to the graph of y = e(x²-9). The point of…

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Q: Rationalize the denominator of the following expression. Simplify your answer. √5 √5-√2 5+√/10 3 For…

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Q: Question 3 Suppose f(a,b)→ R is continuous at every point in the open interval (a, b), and that f(x)…

A: Given that :Function  is continuous at every point in the open interval  for all To prove : for all…

Q: Determine, with justification, whether the following series converges: 4 9. Σn=1 √n

A: To determine with justification, whether the following series converges.

Q: 89. Explain why or why not Determine whether the following state- ments are true and give an…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (Text Suppose y = f(x) graphed in the figure below represents the cost of manufacturing x kilograms…

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Q: =r walking through the fifth gate, your computer informs you that more than half of the gates have…

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Q: Write the equation of the vertical line at which the graph is discontinuous. Then, write what y…

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Q: How do you calculate the Delta Z value for partial coordinates?

A: We have to show that how do we calculate the Delta Z value for partial coordinates.