Solve this differential equation: dy 0.07y(500 – y) dt y(0) = 5 y(t) =

Q: Question 9 Cosx -dx, sintx Evaluate the Integral A +C 3sin³x +C sin³x В +C 3sinx -+C sin³x D B.

A:

Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection poin...

A: It can be solved using differentiation.

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

A:

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a) Expr...

A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:...

Q: If f(x) = x + V2 – x and g(u) = u + v2 – u, is it true that f = g?

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Q: Let the region R be the area enclosed by the function ƒ (x) = /x +2, the horizontal line y = 2 and t...

A: The given problem is solved below in detail.

Q: Q 1) Find an antiderivative for each function. 4+ /i a)

A:

Q: 7- I = [sec(2x) tan(2.x)dx cos(2x) 8- I = dx 4-sin (2x) csc (In(x)) 9. I: dx

A:

Q: Question 3. Let a € (0,1) and define f : T→R by 1 f(x) = sin(nx) na n=1 for all r E (-T, 7]. Prove t...

A: We have

Q: Write the equation for a sphere centered at the point ( 10, 10, – 8) and has the point (9, 1, 6).

A:

Q: n +1 n/n+ Vn |sin n| n=1

A: Using p test and comparison test. 

Q: Evaluate L- {; 3s+1 s2+6s+13

A: L-13s+1s2+6s+13

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?.

A: Given : h = 4(21-x) x = 12.92 cm  

Q: 2. Find the slope of the tangent 2 line to the curve f (x) = - = -1 at x

A: topic - slope of tangent line to curve

Q: Find the average value of the function on the indicated interval: 2. f(x) = 3xVx² – 16; x € [4,5] -

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Q: Find the average rate of change of y with respect to x on the interval [1,4] where y=x^2+x+1

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Q: Sketch the level curves of the function f(x, y) = y – 3x² for c = 2. 8+ 5- 4 2 -6 -5 -4 -3 -2 -1 4 -...

A: Explanation of the answer is as follows

Q: True or False: To evaluate the integral dr, 9. we use substitution withz= 3 sec 0, where Select one:...

A:

Q: . We are given r'y-5x+24y 6/ỹ, where x and y are both functions of t. If dx = 2, x= 1, and y=9, what...

A: Given query is to find indicated derivative.

Q: Find the absolute maximum and minimum values of the function on the given set R. (x,y)=(x-2)'+y'; R-...

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 1 x-intercep...

A: Given query is to find the rational function with given characteristics.

Q: sin'x+8 sinx+16 sin’x+4 sinx

A: topic -  trigonometric function 

Q: A company that produces ribbon has found that the marginal cost of producing x yards of tancy ribbon...

A: The given data is: C'x=-0.00001x2-0.02x+46 for x≤1300 Approximate the total cost of manufacturing 13...

Q: Find the inflection points, if any, f(x)=x4 −2x3 +6

A: Find the inflection points, if any, f(x)=x4 −2x3 +6

Q: Sand being dumped from a fannel forms a Conical Pile whose height is always 13 the diameter of the b...

A: volume of cone

Q: 3 Given f(x)=20x+9x-50x+24, answer the following. Part: 0/ 2 SS Part 1 of 2 3 is a zero. 4 Factor f(...

A: Given query is to find the factors of the expression

Q: Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1

A:

Q: Tunorial ExSICISS And any Intercepts. 49x Step 1 To And the y-Intercepts, letx be zero and solve for...

A:

Q: 2. Use the Integral Test to determine if the series 1 (n+ 2)/4 n=1 converges or diverges.

A: Given problem:-

Q: The amount A of dollars accumulated after t years through an investment of Ao dollars at an interest...

A: Continuous compound interest formula : A = A0ert where A0 = amount invested in dollars A = amount ac...

Q: The marketing research department for a computer company used a large city to test market the firm's...

A:

Q: 3 7 htx) 7 22 h'(x) 5 10 90. Selected values of the increasing function h and its derivative h' are ...

A:

Q: y=5Xy-2x

A: NOTE: Refresh your page if you can't see any equations. .

Q: dx I [; (1-2x) I= [sin (4x) cos(4x)dx (In(x))3 dx I

A: Given

Q: A sample of radioactive material starts with 0 grams . After 3 half -lives have passed , how much ra...

A: Let's find. 

Q: manufacturer believes that the cost function C(x)= 5/2 x^2+ 125x +860 approximates the dollar cost o...

A: Given query is to find the production level when marginal cost is $335.

Q: 7. The population of a certain city in Northern Ontario can be modeled by P(t) = in years from 2010....

A:

Q: find the second derivative of y=ln(e^x+e^-x)

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

Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

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

Q: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

A: find the second derivative of y=[(arctan((2+x)/(1-2x)))]

Q: The Cartesian equation of a line is given by 3x – y + 6 = 0. Determine the acute angle that this lin...

A:

Q: True or False: If 3 In|x-3|+B In|x+2|+C (x-3)(x+2) then B = 5 Select one: O True O False

A:

Q: suppose a baby food company has determined that its total revenue R for its food is given by R= -x^...

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Q: +00 n Σ n² + 2-n n=1 WI

A:

Q: True or False: To evaluate the integral tan a sec" zdx, we save one sec z factor and use sec z = 1+ ...

A: Answer: TRUE

Q: Number 8 please

A:

Q: 6. g(s) %3Dr-고 +1 in

A: The objective is to match the tailor polynomial approximation of the function with its graph. 

Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the c...

A: Both the questions are based on partial fraction.

Q: True or False: If 3 dx%In|x-3|+B In|x+2|+C (x-3)(x+2) 2 then B =

A: true find integration use partial fraction  

Q: Consider the indefinite integral dx Then the most appropriate substitution to simplify this integral...

A: