Compute the given integral. I cot cotrdr = to +C

Q: S[y] = [ "_ dx (y^² + y²), _y(0) = 1, y(v) = v, v > 0, is given by y = coshæ + B sinh x, 0 < * Συ,…

A:

Q: Find the limit of an = n ln(1+3tan(1/n)) or show that it does not exist.

A: The limit is = 3   If you face any problem in understanding then please ask.Explanation:

Q: h(x) P X 1 2x

A: we are given a function and we need to find out where it is concave up and concave down.

Q: pls do part b

A:

Q: (2) n=1 n²-2√n +1 1-n-3n²

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: A corporation has a continuous compounded bank account with 2.7% annual interest. The board of…

A: For compounded continuously rate of interest amount at time ttime in yearsinitial amount

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 400e-x² - 3y² - 9z² where T is…

A: Given: To Find: (a) To find the rate of change of temperature at the point  in the direction towards…

Q: Peter wishes to create a retirement fund from which he can draw $40,000 when he retires and the same…

A: The objective of this question is to calculate the present value of an annuity due, which is a…

Q: (x) X

A:

Q: n=1 (2) Use the Limit Comparison Test to determine whether the series cot [ot n=1 All solutions need…

A:

Q: What are the roots with multiplicities, degrees, and end behaviors of the following functions?

A: The roots with multiplicities, degrees, and end behaviors of the functions related to global energy…

Q: The rational expression (x² − 2x+5)/(x² + x²) has partial fractions expansion Cx + D x² + 1 What is…

A:

Q: A traffic engineer monitors the rate at which cars enter the main highway during the afternoon rush…

A: Given the rate R(t) at which cars enter the highway is given by the formula  cars per minute.

Q: Fill in the equation for this function. -21 -3π/2 -TI F -TT/2 n 2 -3 (1 TT/2 TU f(x) = [ ? ]sin(-×-)…

A: To find the equation of the following graph.

Q: The length and width of a rectangle are measured as 23 cm and 52 cm, respectively, with an error in…

A: Let length of the rectangle denoted by x Let width of the rectangle denoted by y As we know the area…

Q: For which of the following points does one of the theorems given in class guarantee that the…

A:

Q: Evaluate the following integral. 48x² S (x - 15)(x + 5)² 48x² (x − 15)(x + 5)² √ S. dx dx = 48 7…

A:

Q: Solve the absolute value fucntion f(x)=|x-2|+|x+1|-4

A: Therefore , the only valid solution for the function f(x)=∣x−2∣+∣x+1∣−4isx=25​  For x&lt;−1, no…

Q: Let f(x) = In[x³(x + 6) 7 (x² + 5)³]. Find f'(x). 1 3 x²(x+6) ² (x² -5)³ f'(x) =

A:

Q: The graph above is a transformation of the function ² Write an equation for the function graphed…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: to - if r≥ 1 and a < 0. prove that the geometric series Σ Σ ar" diverge n n=0

A:

Q: The function r(t) traces a circle. Determine the radius, center, and plane containing the circle…

A:

Q: Find the length of the curve. L = r(t) = 10i+t²j+t³k,0 ≤ t ≤ 3 <

A:

Q: Suppose that f(x) r'(x) = 4²x+5]n(4) - s+2 + 5x Find f'(x). #

A:

Q: I am not fully grasping the transformation from sinx to tanx and from cosx to tanx in step 2 of the…

A: To evaluate the following integral by using the substitution .Note: Since, the student has mentioned…

Q: calculate the derivative of y with respect to x. express derivative in terms of x and y  e^6xy =…

A:

Q: Find the roots m₁, m₂ of the characteristic equation of y" + 8y' + 6y = 0.

A:

Q: 3. Use synthetic division to find the quotient of f(x) = 6x²-3x³-8x+12 by x-2. Quotient =

A: Answer:    Quotient=6x3+9x2+18x+28Explanation:

Q: A bicyde has a listed price of $572.98 before tax. If the sales tax rate is 9.75%, find the total…

A: Total Cost=Listed Price+(Listed Price×Sales Tax Rate)

Q: Find derivative y= x2cos4(x)

A: To find the derivative of the following function.

Q: The magnitude and direction of two forces acting on an object are 50 ​pounds, S61degrees°​E,and…

A: The objective of this question is to find the magnitude and direction of the resultant force when…

Q: • A ship leaves a port traveling 50.0 km 45.0° northwest and then 70.0 km in a direction 30.0°…

A: Given the ship leaves a port traveling 50.0 km 45.0° northwest and then 70.0 km in a direction 30.0°…

Q: Mr. Smith is 6 ft tall and walks at a constant rate of 2 ft/sec toward a street light that is 10 ft…

A: The objective of this question is to find the rate at which the length of Mr. Smith's shadow is…

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

A: given acceleration function and initial conditionsa(t) = −cos(t)i − sin(t)jv(0) = j + k,  r(0) = i

Q: The formula for wind chill C (in degrees Fahrenheit) is given by C = 35.74…

A: The formula for wind chill C (in degrees Fahrenheit) is given bywhere v is the wind speed in miles…

Q: Determine the logarithmic regression of the data below using either a calculator or spreadsheet…

A: y value is 6925.9(rounded to the nearest tenth).Explanation:Step 1:Enter the data points into two…

Q: The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the…

A: The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the…

Q: For the following series, apply either the Geometric or p-Series Tests, where appropriate. 15 (2) Σ…

A: The given series,(a) (b) (c) (d) The objective is to check the convergence of the series by using…

Q: Compute the center of mass on a rod of density p(x) = 3x³ + ze¯ with z € (0,3). H = Round to 4…

A: Given: a rod with density To find:center of mass

Q: f(x) = 7x^-8e",

A: f(x)=7x4−8exUsing the power rule,ddxxn=nxn−1ddxeax=aeax

Q: Hi, this is incorrect ?

A: To find a positive value of  such that the average value of  over the interval  is 20.

Q: 9. (a) A gardener is building a fenced in rectangular garden against a wall of his house. If he does…

A: Answer No. (a): A gardener is building a fenced  in rectangular garden against a wall of his…

Q: Problem #5: Which of the following sets of functions are linearly independent on the interval (-∞,…

A:

Q: 2. Consider the sequence an given by 2n +1 n³ (a) Calculate the first four terms of the sequence (as…

A: The objective of the question is to analyze the sequence a_n = 2n + 1/n^3 for n ≥ 1. We need to…

Q: Completes parts A-C below: A. Find the marginal revenue function.      R(x)=x(150.09x)      R'(x) =…

A: Given thatA. we need to find the marginal revenue function.  B. We need to find the marginal revenue…

Q: Find the derivative of the function by the limit process. Find an equation of the tangent line to…

A:

Q: Evaluate the following integral using trigonometric substitution. 11x² dx 2 (49+x²)² S.

A: I=∫11x2dx(49+x2)2

Q: lim (x, y)→(0, 0) sin (x² + y²) x² + y²

A:

Q: Question 3 Consider the curve which is the graph of the equation x³ + y³ - 3xy = 0. Graph this curve…

A: In this question, we will find the implicit derivative.If the tangent to a curve at x=a is…

Q: Find [COR cosh’(t) sinh(t) dt . 2

A: To find the following integral.