Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x /2, and y = n.

Q: 3. Find the following integrals. Most of them (but not all) require partial fraction xdx 2х + 3 b) s...

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Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS

A: Given query is to find RMS.

Q: Given arccos(r) = arccot(z²), solve for dz/dr

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Q: %24 dl 10 4 60 S 8. 9- 5. 3. 2 # esc (Do not round until the final answer. Then round to the nearest...

A: Question- An investment loses 2.4% of its value every week. Find the half-life in this situation.

Q: 1. A body at a temperature of 50°F is placed outdoors where the temperature is 100°F. If after 5 min...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: An old tire is deflating initially at a rate of v(t) = \E + 2 where v(t) is its volume in in' at any...

A: To find out the instantaneous volume at 1 hour.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: To find critical number of a function f(x)  we first find the derivative value of f(x) that is f'(x)...

Q: If a0=1, a1=5, and ak+1=-3ak-1+4ak for all k≥1, use methods of linear algebra to determine the formu...

A: We have to find the formula for ak  and the limit as k approaches infinity for ak+1/ak.

Q: Use a double integral in polar coordinates to find the area of the region. The region inside the ci...

A: Question- Use a double integral in polar coordinates to find the area of the region.   The region in...

Q: Evaluate the indefinite integral as an infinite series. ex- 1 dx 2x Σ + C n = 1

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Q: A concert will be held at the end of April. Past experience indicates when tickets are priced at $70...

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Q: Determine whether each statement is true or false. You have one submission for each statement. 9000 ...

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Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following

Q: Find the limsup and liminf of the following sequence: sin a) an = n° n if n is odd п+1 b) an if n is...

A: a)an=nsin(nπ/2) b)an={n/(n+1) if n is odd             1/(n+1) if n is even} c)an=sin(nπ/3). Repost t...

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

A: Double integral

Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

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Q: Evaluate the following using trigonometric substitution: dx V25 + x²)

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Q: Find the area of the shaded region. y y = x' - 15 x 10 y = x (4, 4) -6 2 4 (-4, –4) -10 - 20 A = 20

A: We have to find area of shaded region.  That is, area between the curve (y = x3 - 15x )  And line (y...

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month i...

A: Given query is to find the rate of change of cost.

Q: Recently, the bowling scores of a certain bowler were normally distributed with mean 201 and standar...

A: We need to find probability.

Q: Determine if the series is absolutely convergent, conditionally convergent, or diver 4n+1 (c) 2 32mn...

A: The given series of summation of 4n+1/[32nn2], n from 1 to infinity. 

Q: L:x = 2 – t, y = 3 + 4t, L2: x = 4t, y = 1 – 16t, z = 4 – 8t z = 4 + 2t

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Q: The movement of a particle follows g(u), where g(u) h(u) and h(u) = u? + 8u + 15 and y(u) = u² + 2u ...

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Q: d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

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Q: Find the value of k, and write the equation. Estimate the population of the country in 2015. After h...

A: We will find the exponential function. 

Q: find d^2y/dx^2: y^3=4x^6

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Q: An automotive engineer studied the effect of car weight in tons on fuel efficiency, which is measure...

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Q: Determine whether the planes are parallel, orthogonal, or neither. 9x – 8y + z = 6 x + 2y + 7z = 1 O...

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Q: 3-Sketch the graph of y=-3 (6x+3t/2)-2 on the domain cos Application

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Q: 16 where xis the number of units. A company's marginal cost function is C'(x) = Find the total cost ...

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Q: Determine the intervals on which the function is concave u у 3 19х? + In(х) (х > 0)

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Q: Let R be the region in the first quadrant bounded on the right by the graph of y = x – 3, above by t...

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Q: Find the point on the graph of the function that is closest to the given point. (х) 3 (x - 1)2, (-5,...

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a cal...

A: The given expression,    35.4

Q: Solve the following problems. Show complete solutions. 1. S sin° (2æ) cos (2æ)dæ

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Q: Find the indefinite integral using a table of integration formulas. 2) SV25X2 + 100 dx

A: Given: - The indefinite integral is, ∫25x2+100dx To find: - The solution of the given indefinite int...

Q: Find the vector component of v = 2i – j+ 3k along b = 4i + 4j + 7k and the vector component of v ort...

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Q: The total world population is forecast to be P(t) = 0.0008t3 - 0.0714t2 + 0.81t + 6.04 (0 sts 10) in...

A: The population is given by P(t) = 0.0008t³ - 0.0714t² + 0.81t + 6.04

Q: The graph below shows the velocity v in feet per second of a small rocket that was fired from the to...

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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: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+7k w = i+ 8j + 7k Find the v...

A: Volume of the parallelepiped is 238 cubic units. 

Q: ,In sec²(sin2y)dy can be evaluated by writing it as sec2y ! / sec²( sin2y) - 2 cos2ydy S. | sec2( si...

A: To simplify the given integral.

Q: 3. Consider the function f(x) whose graph is shown below. Determine the following: a. lim f(r) b. li...

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Q: f(x) : 1

A: The given function f(x)=1x2

Q: How many positive integer solutions (zero is not allowed) to r+y =42?

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Q: Solve it correctly Q)x^4 + x^2 +1=0

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Q: Problem 2. A manufacturing company developed a mathematical model to predict its expenses as a funct...

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Q: Show that the functions in Exercises 21-28 have exactly one zero in the given interval. 21. f(x) = x...

A: Given problem:- Show that the functions  have exactly one zero in the given interval 21. f(x) = x4 +...

Q: The table gives values of a continuous function. Use the Midpoint Rule with three subintervals to es...

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Q: If the marginal costs for the production of æ power drills can be modeled by the function C'(x) = 51...

A: Answer: The solution is given below: