Find the exact value of the expressions cos(x +ß), sin(x + ß) and tan(x + ß) under the following conditions: sin(x) = 24 25 a lies in quadrant I, and sin(B) = 1 40 1 41' ß lies in quadrant II.

Q: Use the Ratio Test or the Root Test to determine the convergence or divergence of the series. Σ n =…

A: The given series .We have to check the converges of the series.

Q: 1) Solve the following LP using the Dynamic Programming Min Z= 4X1 + 5X2; X1 >=0 X2>=0 6X1 + X2 <=…

A: The given LPP isMin:Z=4x1+5x2 Subjected to the constraints6x1+x2&lt;=252x2&lt;=124To draw the given…

Q: Consider the function f(x), whose graph is composed of two intersecting line segments shown below:…

A:

Q: 74. Which of the following represents the nth derivative of y=(1-x)/(x-2) ? A. (-1)^(n+1)…

A: To find: nth derivative

Q: c) i) Find 2 sin cos (1 + sin 8)³ 1) Solve the differential equation sin 2x cos² y (1 + sin x)³ IL…

A:

Q: Using Lagrange multiplier find the extreme points if any of the following function 1 3 f(x,y) = x³y²…

A: To find the extreme points of the function  subject to constraints x-y=0, we can use the method of…

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x - 2x²…

A:

Q: Suppose a certain country's population has constant relative birth and death rates of 97 births per…

A:

Q: ind the area of the region bounded above by y O O पं ထာ 16 3 -2. 32 3 O 36 4 X = —2 + 5 and below by…

A:

Q: lim x →∞ 7x-3 √√25x²-49

A:

Q: The volume of the solid obtained by revolving the region enclosed by the ellipse x² +9y2 =! =9 about…

A:

Q: РОФ 0 TO 0, п,

A: The spherical coordinates are given as ,Transform the spherical coordinates to rectangular…

Q: On a high school campus of 1,500 students, one student spreads a rumor about a high school prank.…

A: Total number of students in the school is 1500. Spread of rumor is modeled by equation

Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x)= Using the…

A:

Q: Book Design A book designer has decided that the pages of a book should have 1-in. margins at the…

A:

Q: Evaluate h(13), where h = (gof). h(13) = f(x) = = x-²129 -; g(x) = x² + 12

A:

Q: xy' -) Find the general solution of +2ln(y) = 4x² y

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

Q: Describe in words, what is the answer of an integration question that is given (i.e can you describe…

A: An integration question involves finding the integral of a given function, which is a mathematical…

Q: L₁ = 10logio, where L,is the magnitude of sound intensity (decibels), / is the current sound…

A:

Q: Area of a Norman Window A Norman window has the shape of a rectangle surmounted by a semicircle.…

A:

Q: I Solve the following boundary-value problem: y" +9y=0,;y (0) = 1, y()=1 Ay=cos3x + sin 3x D y = -…

A:

Q: 9-36 Evaluate the integral. 9. [x²³√/16 + x² dx 11. 13. X² dx dx So №o (a² + x²) ³/²³ a>0 10. 12.…

A: Given

Q: Find the distance between two skew lines with parametric equations x=1+t, y = 1 + 6t, z = 2t,…

A:

Q: Determine a complete solution, y (x): use any applicable method   given: y'' + y = cscx

A: y" + y = csc xThis is the second order differential equation

Q: If all the critical values of f(x) are shown in the chart below, which of the following could be…

A:

Q: State the domain for the function f(x) = log6(-x + 5) +4:

A:

Q: x Cost dt. Find an equation of the tangent line t to the curve y = F(x) at the point with…

A:

Q: 9. ↑ w In w dw 11. f (x² + 2x) cos x dx 13. fcos ¹x dx 15. ft²ln t di In 17. St csc²t dt 19. (In x)²…

A:

Q: x² - 1 x-1 dx

A:

Q: Convert the following differential equation into a system, solve the system by…

A: To convert the given second order differential into a system of first order equations, we'll…

Q: lim x→0 lim x→0 e. lim csc x-cotx sin x 1-cos.x 2.x² COS X 4x

A:

Q: Use cylindrical coordinates to calculate SSSw f(x, y, z) dV for the given function and region: f(x,…

A:

Q: Book Problem 5 Find the volume V of the solid formed by rotating the region inside the first…

A:

Q: Solve the equation by using the square-root property. (x-19)² = 45

A:

Q: Find the general solution of the following ordinary differential equations: use any applicable…

A: Since you asked multiple questions, as per the company's guidelines, we are supposed to solve first…

Q: Velocity of a Motorcycle The distance s (in feet) covered by a motorcycle traveling in a straight…

A: The distance is .We have to find the average velocity over the interval for .Use the result to find…

Q: 3. Find the tangential and normal components of the acceleration vector at the given point. (a) r(t)…

A: Find the tangential and normal components of the acceleration vector at the given point.

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

A: The base of the three dimensional figure is bounded by the circle Hence ,

Q: Figure 2 Figure 2 shows the curve y = 3x² - 12x which meets the x- axis at the origin and at (4,0).…

A: NOTE: Refresh your page if you can't see any equations..The area is bounded by the curves:Therefore…

Q: Spending on Corrections in the 1990s   The following table shows the annual spending by all states…

A: NOTE: Refresh your page if you can't see any equations..The given table is,year(t)02467Spending ($…

Q: 4. Find the limits. Show your side work. (a) lim x 2 3 x-3- X - (b) lim cotx HIT+

A:

Q: Find the area of the region bounded to the right by X = y². ਸ 543-2-1 2 3 4 5 O 4.5 4 3.75 O co/co…

A: Form the integral and solve to get the area.

Q: 3- The cost function of a manufacturing company in order to produce x items is C(x) = 2 log (x + 2),…

A:

Q: Suppose that an+1 an →1 as n→∞o. Find the radius of convergence. n=1 an(-1)"" 2n

A:

Q: 1. Jacy keeps track of the amount of average monthly rainfall in her hometown. She determines that…

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) √x-7 x(x − 8) - h(x) =…

A:

Q: Find the regression line associated with the set of points. (Round all coefficients to four decimal…

A:

Q: On a computer network of 25,000 computers, one computer spreads a vicious virus. The total number of…

A: The total number of computers that contract the virus after  hours is modeled by  .

Q: Using the separation of variables technique, solve the following differential equation with the…

A:

Q: • find the equation of the tangent live T(x), to the graph of the giller fenction at the indecated…

A: y= 2√x +1We have to find equation of tangent line at point (4,5)