Convert the polar coordinates (- 3, - 600) to Cartesian coordinates. O (1 1/2, -3v3/2) )(-1 1/2, 3V3/2) O (-3V3/2, 11/2)

Q: Choose point which has the correct location for the polar coordinate (2, 7). 90° 2 WIN 135° 4 7…

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Q: 2x2 1) Given: f(x)= 48(3x +16) f"(x)=- (² –16) -8 -48x s'(x)=: (x² -16) x-16 a) Determine any…

A: Given: f(x)=2x2-8x2-16f'(x)=-48xx2-162f''(x)=483x2+16x2-163

Q: For the function y = f(x) = 2e-0.3x (refer to the graph in the textbook), use definite integrals to…

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Q: Use polar coordinates to evaluate the integral er+y dA R where R is the region that lies in the…

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Q: Use polar coordinates to evaluate the integral where R is the region that lies in the second…

A: follow the procedure given below.

Q: S csc6 cot* w dw W

A: Given,           ∫csc614wcot414wdw

Q: Evaluate the integral 3 2x cos(xy)dydx 2

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Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

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Q: sin x dx 1- sin2 x 4. cos x dx 2+3 sin x 5.

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Q: Sketch the curve y = x4 - 6x2 and show intercepts, maxima and minima and points of inflection

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Q: Evaluate the integral. (Use C for the constant of integration.) (2x4 – 4x-2 + 3x + 4) dx

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Q: Choose point which has the correct location for the polar coordinate(-4, 180\degree). 90° WIN A 150°…

A: see below the graph and the answer

Q: Find the total area of the shaded regions. ... Ay 64 y B+x y 64-xf -10 8-6 -4 | -2 2 46 8 10

A: -8≤x≤9Intersection points:8-x=64-x2x2-x-56=0(x-8)(x+7)=0x=-7, x=8Area bounded=∫-8-7[(8-x)-(64-x2)]dx…

Q: ey+y°.

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Q: 10) For y= Vx+8, use the differentialE dy to approximate Ay when x changes from x=1 to x=0.97

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Q: 4 Using Trigonometric Substitution x2 +4x - 5 dx = | f(e)de find the new limits of integration. X+2…

A: By using Trignometric Substitution fin the limits∫14x2+4x-5x+2dx=∫abf(θ)dθ

Q: 5. sin (2x) dx

A: To evaluate: ∫sin22xdx ⇒I=∫sin22xdx We know that 1-cos2x = 2sin2x

Q: x³ + 6x2 + x+2 2 Tan Ve fx-1 ax + In{(x+ 1)*(x² – x + 1)"| + The resulting integral of -X+ -1 + C,…

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Q: 1 1) [ (tan³ 0 + tan³ 0) e-tan º d0== 2 (-1)" n! (In x)" dx= (m + 1)"+1 ·

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: y- cos(e) ]cix + dy = 0|

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Q: Convert the polar coordinates (1, 111) to Cartesian coordinates. O(/3/2, -1/2) O (1/2, -V3/2) O…

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Q: ) Find the pdar eawation for the cartesian curve x²-y²= \x?+yz A)rsinz0=2 b)r=ュ )cos 20=1 Dr=cos2@…

A: In polar coordinates, substitute x =r sin(theta) and y= r cos(theta)

Q: Convert the polar coordinates (2, 60) to Cartesian coordinates. (1, √3) (√2, √2) (√3, 1)

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Q: Sally is standing on a wharf that is 5m above the surface of the water. She is pulling on a rope…

A: Use the trigonometric ratios and application of derivative.

Q: Evaluate

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Q: Given the function f(x) =2+3x - x³. Determine the intervals where f is increasing or decreasing,…

A: As per the guidelines I am supposed to the first question among multiple questions. So I am solving…

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x°e=x (a) Find the…

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Q: Given the function f(x) =2+3x - x³. Determine the intervals where f is increasing or decreasing,…

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Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: Convert the polar coordinates (1, 111) to Cartesian coordinates. O(V3/2, -1/2) O (1/2, -V3/2) O…

A: The objective of the question is determine the Cartesian co-ordinates.

Q: +00 dx -Evaluate the improper integral x (In x)²

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Q: True or False, If f' (3) = f" (3) = 0. then I 3 MUST be an inflection point. (Remember = to give…

A: It is given that, f'(3)=f''(3)=0 then x = 3 must be an inflection point.

Q: The curve with polar equation 24 3 cos 0 + 4 sin 0 is a line. Find the slope and the y-intercept of…

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Q: 7. S 8x³ e** dx il ww be 7dx 8. J sec x esinx bne

A: I am attaching image so that you understand each and every step.

Q: Question 4 of 10 Find the volume of the solid that results when the shaded region is revolved about…

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Q: 2х — 5 lim 4x

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Q: Use polar coordinate to evaluate (x² + y* )² dx dy . Leave your answer correct to two decimal…

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Q: Given: (1 + 2x)e*dx Using integration by parts and letting u = -1 - 2x, dv = f (x) dx then the value…

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Q: 16. Follow (and show proof) of each step below to estimate the area under the curve f(x) = 3 cos x…

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Q: 1 y dydx %3D 0. Select one: O True O False 2.

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Q: 25 Simplify sec(arcsec 1/2 ). no solution -1/2 1/2

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Q: 1. Find the area of region bounded by the curves y = x² and line y=x. %3D

A: We have to determine area of region

Q: 12-11= Sin(z)

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Q: 4. A father is running west at 5 m/hr and his son is running north at 6 m/hr. Both are headed for…

A: I am attaching image so that you understand each and every step.

Q: 7.A Water font has a shape sp an inverfed arcular cone with ? base radius 4m nd herght m.lf water is…

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Q: Solve the problem. Given that f(x) = 5x², find lim [f(x) - f(4)/(x - 4)]. X-4

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Q: xy + y² dx dy Find the general solution of

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Use the Laplace transform to solve the initial value problem. y''+6y'+34y=136, y(0)=3, y'(0)=0…

A: Solution is given below:

Q: x'+8 if x + 2 The function f given by f(x) = is continuos at x = -2 x+2 -12 if x = 2

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Q: Activity 2. Using U Integral of the following. 1. S sec?x dx 2. S Substitution or Integration by…

A: As per bartleby guidelines we only give first question answers.