Find polar coordinates (r, 0) of the point (1, -V3), where r <0 and 0 s0 < 2m

Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0 (5 marks ...

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Q: Integrabe.the funchem. fexng). aver..the.. |-x- y2 ..... ... Does. the integral.af. fxn.y.).ro the d...

A: Double integral

Q: - Sint - COS 2 sec E) tanC)

A: Recall: sec(x)=1cos(x)tan(x)=sin(x)cos(x)

Q: y=3-x + xlnx solves y' = Inx y = solves y' = y? 1-x

A: This question is based on differential equation.

Q: S ** dx : Evaluate the integral using the following values. 9. 9. dx = 4 6 х dx %3D 320, х dx %3D 16...

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Q: Length of the Arc Instruction: Answer the following. Show all your solutions. 5. a. Give the formula...

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Q: Average Rates of Change Use each graph to estimate the average rate of change of the percentage of n...

A: We need to find the average rate of change for the given graphs.  

Q: Using least squares regression criteria, find the line (form y = ax +b) that would be the best fit f...

A:   X Y XY X2 Y2   1 2 2 1 4   3 4 12 9 16   5 7 35 25 49 sum 9 13 49 35 69     X¯ =1n Σ Xi...

Q: Question 8 x2dx Evaluate | x2Vx2-4

A: Solution

Q: 2. A printer needs to make a poster that will have a total area of 200 in? and will have 1-inch marg...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Evaluate f(cos4 x – sin“ x)dx

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Q: Determine the coefficient of a in the expansion of (a +)" 10 O 120 O 252 O 210 O 151200

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: The graph is shown below:

Q: 15. A tank contains 750 L of pure water. Brine that contains .12 kg of salt per liter of water enter...

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Q: /9-4х2 dx

A: We know, (i) ∫dxx2-a2=12alogx-ax+a+C, C is a constant.

Q: Astivity 3 tind the detNe of 2メー3 うメース ensing the definitiom -

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Q: 8. What is dx (x2+8)3

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Q: Find two unit vectors in 2-space that make an angle of 45° with 5i + 4j. NOTE: Enter the exact answe...

A: We have to find two unit vector as given in the question. 

Q: -3 (x + y)dx dy

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Q: A. Elimination of Arbitrary Constant Eliminate the arbitrary constants (1) y = (c + c2x)e* + 2x - 4

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Q: Find the antiderivative, G(t), of the function g(t) = (3n?t? – t4)V3n² – t².

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Q: x(x-2) dx (x-1)3

A: We can find the integration as below

Q: Show that (0,0) is a critical point of f(x,y) = x2 + kxy + y2 no matter what value the constant k ha...

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Q: dy Find if y = In x5 + e-cos2x – In e?. dx dy 4 sin x cos x dy 5 es sin²x-cos2 x dx e cos2 x-sin? x ...

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Q: 2. Scientists can determine the age of ancient objects by a method called Radiocarbon dating. The bo...

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Q: Lesson 4.1b Certify Mode Questi x Order Derivatives: th x A learn.hawkeslearning.com/Portal/Lesson/l...

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Q: Area of a Plane Region Instruction: Answer the following. Show all your solutions. 6. a. Find the ar...

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Q: | xy² dy dx ху

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Q: Exercise: Do as indicated if x 4. x. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞,0)? 3 ...

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Q: Find the area bounded by y = sin²(x) and y = sin³(x) from 0 < x<. %3D

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Q: Cami plays softball. The table to the right shows the frequency of the number of hits she has per ga...

A: a)  D. Divide the frequency of two hits by the total. Probability = 1153 b) A. P(at most two hits) =...

Q: 19. A triangular plate with height 5 m and a base of 7 m is submerged vertically in water (whose den...

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: G Coshx dg G Sahr teンdx Anri y Ceshx = c

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Q: The construction firm where you are working as an engineer plan to build a tunnel whose arch is in t...

A: The arch of the tunnel is in the shape of a parabola.Let road be the x-axis And given tunnel is 12m ...

Q: x2+1 - dx x4-x²+1

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Q: 16. Sketch the parametric curve x = Vt, y= sin t, 0<t< 2n. (b) (a) 1.0 (c) 101 1.0 0.5 0.5 0.5 05 10...

A: The graph of the parametric curve x=√t, y=sint , 0≤t≤2π is given as below,  

Q: 2 A spherical snowball is being made so that its volume is increasing at the rate of 8ft³ jmin/ Find...

A: This is a problem related to the volume of the spherical snow ball and change in rate. By using conc...

Q: The slope of the tangent line to the curve y 2x at the point 2, 16) is:

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: Find the derivative of the follo solutions. 1. What is (5x +3)4? dx 2. What is 4 (x2 – 3x)5? dx 3. W...

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Q: Evaluate f(cos“ x – sin* x)dx

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Q: xy' + y = 0, y(4) = 6 y'cosh?x = sin² y, y(0) = }7 TT y' = -4.x/y, y(2) = 3 xy' = y + 3x* cos² (v/x)...

A: As per guidelines, I can answer only one question. Since you have asked for multiple questions, so I...

Q: 4. What is (Cos (x²)} dv 5. What is (tan x³) dx 6. What is (In x)7 dx

A: To find out the derivative.

Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the equation25x2-100y2+16z2=-400

Q: the Cartesian coordinates of (2, -7/3). Then plot the point. I=r cos 0, y = r sin 0

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Q: 6. Evaluate the following indefinite integral as an infinite series. sin x (a) (-1)". 2n+1 (b) (-1)"...

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Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: sin 3x y = 4+5 cos(2x)

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