Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN 150° 4 7 radians 30° 3 radians- 180° 15° 12 | 0°27 360° B 210° D -6 radians 330° 11 225° 315° 4 radians- 270° B 45° 2 radians 120 300° L5 radians M/2 240° O O

Q: dx V4-9x2

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Q: Analyze and integrate the following:

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Q: In x dx

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Q: 11. Find the definite integral of S, 2 sinx 1+cos x dx : A. In (1+ cos x) В. 2 In 1 C. In 1 D. In 2

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Q: dy Y – x dx y + x

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Finding a pattern from the given terms.

Q: Find the first partial derivatives of the function. x9 - y5 f(x, y) = x + y fy =

A: The objective is to find the partial derivatives of the function.

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 4, 3) %3D…

A: Apologies for the inconvenience.   #b) In part #a) we have found that, the direction ratio of the…

Q: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

A: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

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

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Q: Radioactive elements disintegrate spontaneously in a process called radioactive decay. The rate of…

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Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

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Q: 19. Evaluate the given integral, ſe*1+ ex dx: A.(1 + e*) + c B. (1 + e*)} + e c. (1 + e*)* + D. (1+…

A: Evaluate the given integral,

Q: 5. Find the length and width of a rectangle that has an area of 32 square feet and a minimum…

A: Given, area A=32 sq.ft Let, x be the length and y be the width. The formula for the area of a…

Q: w much will a person pay for 6.2 pounds of bananas at a price of $0.93 per p e price the person will…

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Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r>0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

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: Suppose there is no known formula for g(x), but we know that g(2) = -1 and d (z) = V2 +5 for all x.…

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Q: Find x in the following logarithmic functions: a) log10 x = 2; b) log10 x = -3 ; c) log10 x = HIN

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Q: b. g = f(t, v) = tv, t = In m v = m %3|

A: Given g=tv, t=ln(m) and v=m6

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 of the differential equation that satisfies the given initial condition. dP = 4 dt…

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Q: cos 0 (4) Evaluate the iterated integral /A scos 3r2 sin 0 dr d0.

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Q: Evaluate the first derivative of the following functions: g(x) : = cosx – sinx f (x) = 4x²cosx g(y)…

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Q: The absolute maximum and absolute minimum value of the function f(x) = 3x – in [-1,4] %3D is: 4.5, 4…

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Q: b. Consider the graph of function f below. 1,5) (7,9) (-1,-1) (4.2) (1,-1) Complete the following…

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Q: Evaluate the definite integral. e13' i+ e-j+tk )dt -1_ e13 – 1 (e-1 – 1) + 13 e13 1 + (e- – 1) j+ k…

A: We have to find the integral

Q: Find the exact length of the curve. x = 2/3t3,  y = t2 − 2,  0 ≤ t ≤ 2

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Q: Find any relative maxima and relative minima. (If an answer does not exist, enter DNE.) y4+ 20x - ax…

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Q: 3. S: (х2+2)2 dx

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Q: A swimming pool is 50 m long and 20 m wide. Its depth decreases linearly along the length from 3 m…

A: answer is in next step

Q: Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?…

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Q: Evaluate the limit, if it exists. If not, enter "n" below. x2 - 4x - lim x→-1 r² 3x – 4 - -

A: We have to find limit

Q: 5* Determine whether the sequence defined by a* %3D 8* +1 converges or diverges. If it converges,…

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Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

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Q: Given the function: if x 1 Find A given that f is continuous at x 1. f(x) = %3D

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Q: Consider the function 70 - 3 f(x) = 22 — 2х — 63 Find the vertical asymptotes of f(x). Separate…

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Q: The function f(x) = x^3 + bx^2 + c has a critical point at (-2, 6). Determine the value of b and c.

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Q: If A = 3 B = | J, c = ; ) II. [X1 X21 [x3 X4]' And X= Solve each of the following equations: 1. (d)…

A: Here we have to use the matrix operations.

Q: State sec(cosec÷) in terms of x. Hence solve the equation 1 sec(cos ec 1 2x

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Q: The x-intercepts of f(x)=x°+ 11x²+ 10x are: %3D O a. (0,0), (1,0) and (10,0) O b. None O c. (-1,0)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: (3c) Let n E Z. Prove that if n is odd, then 4|(n² – 1)

A: here is the proof

Q: (sin 3x sin 2x dx 3.

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Q: 15 -8 -3

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Q: 1. Find the antiderivative of 3.x² + 2? 2. How do you find the antiderivative of a given function?

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Q: Approximate the area under the graph of f(x) 1 over the interval (0, 4] using five rectangles. x +1…

A: Let's find.

Q: Which of the following trigonometric substitutions is the e 4x dx most appropriate to the integral f…

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Q: 5x dV, where E =    (x, y, z) | 0 ≤ y ≤ 2, 0 ≤ x ≤  sqrt4-y^2, 0 ≤ z ≤ 6y   evaluate triple…

A: Answer is 60

Q: If f(x, y) = 7xey + 7y Inx, then is given by: дудх O 49e5y + 7/x 35eby + 7/x O 25e5y + 7/x O 35e5y +…

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