Line L is perpendicular to the Find the slope of line L O a. -4 O b. 5/2 О с. 2/5 С. O d. -2/5

Q: f(x) = x-1(x² + 1)vx %3D

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Q: Find the solution. y'+=J5. y(1) = o у, у(1 х - 2 A y 9x 1 x+ 3x 2 - 3 9x 3 x2 – 3x +2 y 9x x3 – 2x 2…

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Q: Select the answer option that corresponds with polar coordinates (-1,-210\degree). 90° WIN 150° 4…

A: The given polar coordinates is (-1, -210°)

Q: Match the conclusion of the D-test D(x,y) 0, f_xx (x,y) 0, f_xx (x.y) 0, f_xx (x,y) > 0 (x,y) is…

A: Given problem:-

Q: Find the domain and range of the function g(x, y) = 8\/- 9y + 27x². %3D Indicate the domain of g in…

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Q: Use long division to divide. (x³+ 4x²+x+ 4)÷ (x+ 4) x²+ 8x+ 33 x2+ 1 120 x²+ 8x+ 33+ x+ 4 x²– 4 129…

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Q: Calculate the angle 0 between vectors a and b when a = i – 2j + 2k , b = 2i + 3j + k %3D

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Q: Evaluate the limit. Leave results in exact form. V9 + 7r2 lim 11 + 3x

A: This question is based on limits of inf/inf form.

Q: 4. Determine the general equation of the plane containing the points P(1, -4, –5), Q(2,0, 13) and R

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Q: |cos'xsinxdx 2.

A: Solve :∫cos3x sinxdx

Q: H.W 1. Test the convergence and divergence of the foll convergent series. a) L b) 3"51-n

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Q: Calculate v X w: v = (0, 6, 6), = (8, 7, 3) W

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Q: Employ trapezoidal rule to approximate value of the integral f(x) dx using the table given below. x…

A: This question can be solved using the concept of trapezoidal rule for n=4. Here we have taken…

Q: Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN…

A: Option D

Q: t2 1- y? dy 6. dt dy ap 2ty? + 3t²y², y(1) = –1 5. r(0) = -2 y(0) = -2 7. dt dt

A: To find the solution of the given initial value problems.

Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i + 2 sin(t)j + tk; t = 2 T -25 i + 15 k NE) =…

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Q: 1.) Evaluate: S(2+ y²)²dy 2.) Evaluate: S 1+sinx xp-

A: To evaluate the indefinite integrals:

Q: Consider the function below. f(t) = t + cost, -2n sts 2n (a) Find the interval of increase. (Enter…

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Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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Q: How much will person pay for 4.5 pounds of banana at a price of 2.29$ per pound?

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Q: Sx² e**dx 1.

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Q: 2. Let A = (1,0, 2) and B = (6, –2, 3). Solve for projĄB.

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Q: Find the exact area of the surface obtained by rotating the curve x = 2t² +÷,y = 8/t,1<t<3, about…

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Q: 4. Calculate the area of the bounded region x= y+3 y=3 x= 1 1112 A. 52/3 (. 32/3 B. 8/3 D. 15/3

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Q: Find the solution. y'+=V5.y(1) = 0

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Q: Write the integral that would be used to find the area bounded by y = x2 + 1, y = x - 2, x = -2 and…

A: Given y=x2+1,  y=x-2, x=-2 and x=2

Q: Choose the point which shows the correct location for the polar coordinate (1, 320°). 90° wIN 135°…

A: We have to find correct point name for co-ordinate for point (1,320°)

Q: A. Evaluate the following integrals: 3 | tan°x dx 1.

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Q: Use synthetic division to divide. -4x3+ 23x2- 31x+ 12 4х — 3 -16x2+ 12x+ 16 -4x2- 12x+ 16 -x²+ 5x- 4…

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Q: Q9. (a) The nth term of a sequence is 6- 2n Work out the first three terms of the sequence. (b) Here…

A: We can solve the given problem as follows:

Q: a?u 2. Solve 0, 0 < x < T, 0 <y<n, + и(0, у) %3D 1, и(п, у) — 1, 0 < y< n и(х,0) — 0, и(х, п) — 1, 0…

A: Solving

Q: i 1 2 3 4 0.25 0.5 0.75 1 f (x) | 0.000|| 0.060 | 0.172 | 0.159 | 0.050 (a) Sketch the area…

A: Let's find.

Q: (5) Use an iterated integral to find the area if the region. y y = 4 – x² 3 4 2.

A: Given; Now taking an elementary vertical strip. The area of the strip is: dA=Ldx∫dA=∫Ldx Where; L…

Q: dx J (x² + 2x – 10)²

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Q: Maximum and minimum Function Values 1. Find the absolute maximum and minimum values f(x) = 4 – x2 on…

A: We can solve the given problem as follows:

Q: Use Mean-Value theorem to find c X +2x-1 ; [o,i] xj[3,5] Use L'Hôspital vule to find the wmit lime…

A: We will solve the Problem on limits and mean value theorem.

Q: dx 4. x²+4x+13

A:

Q: 3. Evaluate the following integrals: cos e G = de J (1 + sin 8) vsin 0

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Q: 3. Determine the inverse Laplace transforms. (-2s + 5) -5s – 20 (b) f(t) = L ' 1(s² + 4) (s + 1) ]…

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Q: y = 2Vx, y= Find the area of the region enclosed by the curves.

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Q: A. Evaluate the following integrals: 1. Sx² e*³dx et3

A: To evaluate the given integral.

Q: Write an equation of the plane with normal vector n= (2,8, -4) passing through the point (3,-9,-5)…

A: Vector equation of plane is used.

Q: A company determines that its marginal cost, in dollars, for producing x units of a product is given…

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Q: 4x x - 3x – 18 logarithms. Express powers as factors. 20. Write log2 asthe sum and/or difference of

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Q: Evaluate: -ld. dx 1 2 5.027 2 5.205 2 5.025 2 6.025

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Q: 1. Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the…

A: Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the ground.…

Q: x +6x, xa everywhere.

A: A function g(x) is continuous at x=a if and only if limx→a- g(x) = limx→a+ g(x) =g(a) .

Q: x In y dy dx -1J

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Q: Find the area under the curve y =3x2-2x from x= 1 to x =5.

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Q: Find the equation of the following hyperbola. Express your answer in standard form. Enable Zoom/Pan…

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