polar com 2) (3, 240°) 90° 120° 60° 150° 30° 0- 180° 2 3. 330° 210° 300° 240° 270°

Q: tan e de sece+ 4 cos € COS

A: The given integral is tan(phi)/[sec(phi)+4cos(phi)]

Q: L(sin 2t cos 2t)

A:

Q: 2. Differentiate cach function. Simplify as much as possible and express all answers using positive…

A:

Q: The surface area of the solid of revolution of the region bounded by y = 2x, x = O and x = 2 about x…

A: Given: y=2x We know that surface area of solid of revolution about x-axis over the interval [a,b] is…

Q: Compute for the indicated power of the following: (-võ + iv2)*

A: Please refer to the image below

Q: 7. Evaluate the following: (2x2y 2+2y)dy dx A. 3.0 B. 5.4 С. 2.3 D. 4.9

A: Given query is to find the value of the integral.

Q: d (7 ln(x)) dx Find

A: Find

Q: 19. For the following function f (x) 3x-4 %3D find any x-intercepts, y-intercepts, and equations of…

A:

Q: 1. Find for each of the following: dx d) y = e +x* +e° g) y =x2r-5 h) y = log3

A:

Q: Sec Qydy.

A:

Q: How many solutions does the follow equation have. Explain e* = 0

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Q: y" – 3y' + 2y = 2x² + e* + 2xe* + 4e3x

A: Given

Q: 5. Use the shell method to find the volume of an ellipsoid formed when that part of the ellipse x2 +…

A: Given

Q: 2x²+x² x dx

A:

Q: steel

A: Please refer to the image below

Q: determine the following log1o 10? b. log e?. c. log1o 800 с.

A: Since you have posted multiple questions i can do first three question as per our company guidelines…

Q: dy Find Y dx (x- 2) - (2x+1)4 if y= | Use logarithmic differentiation. x=0 e2x. Vx+8

A:

Q: dx sin" 3x tan 3x

A: The objective of the question is evaluate the indefinite integral.

Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

A: We have to find the integral.

Q: X+ 0.4Inx 04. limx→+o X+ 3lnx 05. lim, „(e* – 1)cosx e' – 1)cos> COSX 'x→0

A:

Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+ sec? У(0) %3 — 5. | dx 2y

A: Let's solve diffrential equation.

Q: S3x*(3x5 - 5) dx 11.What is the inner/main function ? 12. What is the derivative of the inner/main…

A:

Q: Find S(-sin³0 – sin@cos20)d0

A: This can be solved as follows:

Q: (3x-2) dx x²+ 2x + 15

A: the given problem is solved below in detail.

Q: 2

A: Here we can see as t approaching to 12 , graph is approaching towards 150.

Q: 4. (a) (i) Calculate (4 + 10i)?. Answer:

A:

Q: x + 4 dx x² + 2x + 5

A: Given ∫x+4x2+2x+5dxTo evaluate the integral:

Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

A:

Q: Experimental data on the nitrogen content of soil samples taken from a field used for vegetation was…

A:

Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: (b) y when y=3 cos t

A:

Q: VIUEU EXBipie To llustrate the Mean Value Theorem with a specific function, let's consider f(x) = x3…

A:

Q: Number

A: Please refer to the image below

Q: (ax-2) dx x2+ 2X + 15

A:

Q: Find the 23rd derivative of y = -sinx Select one:

A: We have to find 23rd derivatives of y=-sinx

Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: 2. Find the equation of the normal line to the graph of y = x²(1+ In.x) at x = e. Write your answer…

A:

Q: 8. If y = (x* +2x²)e2* determine an expansion for y(5). %3D [y(5) = e2x24(2x³ + 19x² + 50x + 35)]

A:

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A:

Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer:

A: Solution is given below:

Q: Discuss the symmetry of the graph of each polynomial function. 1. f(x)=2x 3. f(x)=-x' 5. f(x)=(x-3)*…

A: Given Polynomial f(x)=2x f(x)=x2+1 f(x)=-x3 f(x)=x4-x

Q: Convert to a polar coordinates. Show work. 13. (0,-4) |

A: polar coordinate

Q: 1. How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the…

A:

Q: Exercise 195 Further problems on Leibniz's theorem 3. Determine the 4th derivative of: y = 2x'e*…

A:

Q: For the first 10 days in December a plant cell grew in such a way that t days after December 1 the…

A: use derivative  to evaluate the volume

Q: (x² + 2)² Find the dy/dx: Given y =

A: Find the dy/dx

Q: Homogeneou dinan Equati on Oblain the differemtial equation 1. y= 7-2x + e

A:

Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A:

Q: 8) Find the slope of the curve y = Sin³0 and x = Cos³0 _when 0 =

A: Given y=sin^2(theta), x=cos^3(theta)