Find the limit. NOTE: Enter the answer using round brackets. t? +7 1 lim t++0 6t2 + 7't (?, ?)

Q: Given f(x) = 3x2 – 24x + 15, a. Write f(x) in standard form. b. What is the axis of symmetry of…

A: Given query is to write the standard form and find symmetry.

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A: Solution

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Q: QUESTION 12 Eliminate the parameter to find a Cartesian equation of the curve. x-e'- 1, y - e Select…

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Q: Determine the general antiderivatives of the following functions: a. f(x) = 20x+ – 4x³ + 15x² – 14x…

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Q: complex form and COS U+ i sin o) be the polar form Idition and subtraction between two complex…

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Q: the tunchon: a certain check point is given by 30) 13 VE Find the, çar pesihon, St), af Assame that…

A: In this velocity function is given, so to find the position function we need to integrate the…

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Q: Find div F and curl F if F(x,y, z) = x°i – 5j + yzk. - div F= curl F=

A: A detailed solution is given below

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Q: Let a be a real number and f(x, y) = 3ax?y + 6xy3. Let v = 3i – j and let V f(r, y) denote the…

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Q: Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

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Q: Evaluate the following limit: x + 2 lim x→-3¯ x² -+ 2x – 3 O +∞ 10

A: The given limit,        limx→3-x+2x2+2x-3

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Q: Let i 1 and i and let w = ü x v. Answer the following: 5 Find w. Give your answer as a vector in the…

A: Givenu=0i+j+5kv=-2i+4j-5ka)Givenw=u×vw=ijk015-24-5w=i(-5-20)-j(0+10)+k(0+2)w=i(-25)-j(10)+2kw=-25i-1…

Q: /hat is the area of the region bounded by the graphs of æ = y³ – 2y and DA = (3x – x² )dx DA = (? –…

A: Topic:- application of integration

Q: 1. The point P(p, 1), where p > 0, lies on the curve x² + 2xy³ – 3yt = 0. a) Calculate the value of…

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Q: dx a sin x+b cos x

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Q: Find the symmetric equations of the line that passes through the points (-2, 1, 0) and (1, 3, 5).

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Q: Verify Green's Theorem by evaluating both integrals ƏN dA y? dx + x² dy = ay for the given path. C:…

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Q: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the area of the region…

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Q: Sketch the region R and evaluate the iterated integral | Rx, y) dA. 2x + 8y) dy dx y y y y 2.0 2.0-…

A: Given problem:-

Q: Find div F if F(x, y, z) = (x² + y) i + z² j + (ey - z) k. 2x - 1 O 2xy i +k O 2x i -k 2хy - 1

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Q: 2 4 Find an equation of the normal line to the curve 3x¯y' – x°cos(ny) + 4x + 2 = 0 at the point…

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Q: Find div F and curl F if F(x, y, z) = 10y°2³i – 11x°z!°j – 3xy°k. „10: div F= curl F=

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Q: Evaluate the iterated integral. 1/4 y cos(x) dy dx

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Q: Qu= O.4 log (E+0.44 435 %3D Qa - 0.249(log Ea)-O.I77 Q8= 0.227 (log E3)-0.839 Q3= rearange equations…

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Q: Typewritten

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Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places. E…

A: We can solve as follows

Q: Consider the following functions. f(x) 3 Vx - 3 g(x) = x – 3 %3D Sketch the region bounded by the…

A: Let us first find the intersecting point. So,               x-33=x-3⇒x-3=x3-9x2+27x-27⇒x=2, x=3, x=4…

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable 5. f(x) = 2x²…

A: Find your answer below

Q: Evaluate the improper iterated integral. x2 dy dx 1 + y?

A: The solution is given in the next step.

Q: Establish the identity. 3 csc0 4 cos 0 = 7 cot 0 sec 0 sin 0 Write the left side of the identity in…

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Q: Verify Green's Theorem by evaluating both integrals y? dx + x² dy Ne dA ду ax for the given path. C:…

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Q: Where is the function f(z, y) = In ( + arctan(y + z)) continuous? Lütfen birini seçin: a.{(x, y) €…

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Q: Solve the Laplace Transform of the equation f(t)= te⁻³ᵗcos²2t

A: We have to find the laplace transform of the given function.   f(t)= te⁻³ᵗcos²2t

Q: dx 3-x

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