a sin a + In v ) da + tan adv = 0 cos a (In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(Arc sin a) Option 1 Option 2 In v = a sin v – cos a + C In v = a sin v + cos a + C Option 3 Option 4 None of the choices

Q: Solve the following differential equation. Show complete details of your solution.

A: The objective is to solve the differential equation and show complete details of the solution.

Q: Given w = xysin(z ), x=s-t, y = s?, z= t2. Find . aw 2xyzcos z? aw az 2yzcos z? Option 1 Option 2 aw...

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Q: Find the derivative of the function. (e) = (3t + 18)2/3 f "(e) =

A: Given f(t) = 3t+1823f'(t) = d3t+1823dtwktdf(t)ndt = n·f(t)n-1·f'(t)

Q: 1. (w² – z² – 4z – 1))dw + 2w(z + w + 2) dz = 0

A:

Q: The projected percent of a country's adult population with diabetes (diagnosed and undiagnosed) can ...

A: The projected percent of a country's adult population with diabetes can be modeled by y=5.97x0.492 w...

Q: (2? + y? + 1) dæ – (æy+ y)dy= 0 - %3D x +1 (x + 1)? Option 1 Option 2 (x + 1)-3 (x + 1)-1 O Option 3...

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Q: 3. The parametric equations r(t) = cos(t – t³),y(t) = sin(t – t°), t € R describe the position of a ...

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Q: show that lim(x,y)→(0,0) (x^3+xy^3/x^4+y^2) does not exist.

A: We will see that along y=mx2 path limit does not exist which means limit does not exist.

Q: Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atm...

A: Find your answer below 

Q: Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $600...

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Q: Find the parametrization for the line segment joining the points P(0,8,3) and Q(0, - 8,3). Draw coor...

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Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error estima...

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Q: Convert the Cartesian coordinate ( – 4, – 1) to polar coordinates, – 27 <0 < 0, r < 0. No decimal en...

A: Solution is written in below steps.

Q: A 33°\b 200' 63° B Vertices A and B of AABC are on one bank of a river and vertex C is on the opposi...

A: We use sine rule to find the solution.

Q: Using initial guess x, = 3, apply Newton's Method to calculate X1, X2, and x3 to find an approximate...

A: Find your answer below 

Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated inte...

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Q: Find the derivative of the function. h(s) = -2/752 + 9 h'(s) : %3D

A: Given query is to find derivative of the expression.

Q: Find the derivative of y with respect to 0. y= 30( sin (In (30)) + cos ( In (30))) de (Use parenthes...

A: topic- derivative of a function

Q: find the f(x+h) - f(x) / h for: f(x) = x² - 5x - 1

A:

Q: A textbook company estimates that the weekly marginal cost associated with producing x textbooks is ...

A: topic - differential equations

Q: Solve the differential equation of the following 1. (ke2v-u) du – 2e2v (e2v+ku) dv = 0  2. (x-3y+2...

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: FDT. Given a function f(x) defined in a neighborhood of a critical point x = c, the first derivative...

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Q: 2. The graph of f is shown in the figure. Sketch a graph of the derivative of f. y 8 10. 6 4 2 - 6 -...

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Q: If a zero has an even multiplicity what happens at the X intercept?

A: Given query is to provide the information about multiplicity of zero and intercept.

Q: Use the shell method to find the volume generated by revolving the shaded region about the y-axis. Q...

A:

Q: ng of a drug in a person's system t hours after the drug is administered. ml -0.22t If C(t) = 53.7t ...

A:

Q: Show

A:

Q: el is being dumped from a conveyer belt at a rate of 20m /min and its coarseness is such that it sa ...

A:

Q: Question 17 > Given the following polar function r = 14 sin 0 dy and expres it in terms of 0: dx (a)...

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Q: Derivatives. Find the derivative of the following functions. Note: It is not necessary to simplify (...

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Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 5....

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Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find T'(t).

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Q: Edy 6. y24+ yi = 1, when x = 0, y = 4 dx

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Q: 3. A total Area of 2000 square feet is to be enclosed in two pens, as illustrated. The outside walls...

A:

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate...

A: topic - application of derivatives

Q: a) lim f(x) y b) lim f(x) 8 c) lim f(x) d) lim f(x) e) lim f(x) 2 ) lim f(x) -10 -8 -6 -2 0 2 -2 00 ...

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Q: 2. Use projections or transposes to determine the least squares quadratic that best fits the points ...

A: Yo determine the least square quadratic that best fits the points.

Q: y = f(x) 2r 2r cross-section y = g(x) base view The base of a certain solid is an equilateral triang...

A:

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 5....

A:

Q: of a drug in a person's system t hours after the drug is administered, when does the drug reach it p...

A: Ct=49.3 t e-0.24t measures the concentration in ngml, of a drug in a person's systemt hours after th...

Q: Find the volume of the solid whose base is the circle x² + y² = the x-axis are triangles whose heigh...

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Q: If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb....

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Q: 3x2 dx x3 - 8(у + 1) %3D 0 y+1 dy

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Q: Given z=. Find z z„= -2x , = 2x*3 Option 1 Option 2 z„- -2x Option 3 none of the above

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Q: The path of cannonball is given by y(t) =-16t +160t

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Q: Which of the following statements about quadratic functions are true? Select all that apply. OA quad...

A: topic - quadratic equations

Q: Find the local maximum, minimum and saddle points of the function using the second derivative test: ...

A:

Q: 1. Differentiate. Do not simplify. 7 a. f(x) =- 2x3 5x6 8x b. f(x) = 2Vx – 3x c. f(x) = (2x – 1)³(5x...

A: Note: As per our guidelines , we can solve first three subparts . please repost remaining subparts.

Q: Find the derivative of the function. f(t) = (3t + 18)2/3 f '(t) = 3V31 + 18

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Q: 4. t(x) = (x - 3)3 5. h(x) = -x² 6. f(x) = V=x 7. f(x) = 2x2 %3D

A: