器+4+5y = 8 sin x when dx X -0, y=o y'eo Find when x = T

Q: Find the surface area of a square-based pyramid whose lateral faces are isosceles triangles with bas...

A: Pyramid has four lateral faces and one base face. Total surface area = base area + 4 lateral face ar...

Q: Using Laplace transform, find the solution of the initial value problem. 2y + y = 0, y (0) = –3 4.

A: Taking laplace on both side, and using y(0) =-3  

Q: r(t) defines a curve. Find the exact numerical value of the length of the curve where t goes from 0 ...

A: r→(t)=2t,cos2t3/2,sin2t3/2 we have to find length of the curve when 0≤t≤1. The length of the curve i...

Q: If 2 ak = 6 and E bk = 36, find the following values. %3D k= 1 k= 1 n bk E 5ak. E 36 k= 1 E (ax + bx...

A: ∑k=1nak=6 and ∑k=1nbk=36

Q: 4. (x+ 2y-1)dx-(2x+y-5) dy =o

A: According to question,Given differential equation,x+2y-1dx-2x+y-5dy = 0

Q: This graph appears to be one-to-one. 2 -1 -1- O True O False 2-

A:

Q: Given the equation below. Give what is being asked. a sin3xsin2xdx = Find: a + B,where a <0

A:

Q: x*+ 4x t3 x? -x - 2 [x+ラ] ー1メ<1 1-X lim g (x) メ-7 0 lim g(x) x -71

A:

Q: 15. A parabola has the following properties: axis vertical, passes through (-1,0), (5,0) and (1,8). ...

A: Topic = Parabola

Q: 3. Given r(t) = 12ti + 5cos tj + 5 sin t k , find the unit binormal vector and torsion

A:

Q: Obtain the differential equation of the following by eliminating the arbitrary constant(s): 1. xy+ x...

A:

Q: In 2012, 34.1% of all glass containers were recycled. A beverage company used 400,000 lb of glass co...

A:

Q: Find the abscissa of the centroid of the region between the parabola y = 9-x^2 and the line y = 1-4x...

A:

Q: dy - y cos x dx = y ln [yedk COS x]

A:

Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

A:

Q: Find the average value of the function f(t) = (t– 10) on [0,15]. The average value of the function f...

A:

Q: n environmental study in a community shows that the level of a certain pollutant in the air is L(P)=...

A: We have ,                L(p)=p ppm                P(t)=70t2+200                 when t= 2010-2000=1...

Q: 1. Evaluate the following limits. x² + 3x+ 2 lim, →-1 x' +4x +3 2 а. х? — 2х lim,→2 b. Vx? +5 – 3

A:

Q: Learning Task 3: Give the COTERMINAL for each angle. ONE NEGATIVE AND ONE POSITVE 1. 128° 2. 382° 3....

A: Given:- 128°  382° 535° To find:- Give the COTERMINAL for each given  angle. ONE NEGATIVE AND ONE ...

Q: Determine the curvature of the graph of y = In x at the point where x = 1.

A:

Q: Given the differential equation 3 r² y" - 2ty' - 2y = 1? Determine the value of u2. 10 A 70 H2 35 91...

A:

Q: The population of Nilam doubles in size every 4 yr. In 1986, its population was 25,000. a) Find an e...

A: Note: Since you have posted a question with multiple subparts we will solve the first three subparts...

Q: Water is draining out of a tank so that the height of the water, h m , in time t minutes, satisfies ...

A:

Q: If y 3x-5, then find the tangent and normal equations X=3 %3D

A: First we find slope of line.  Then equation of tangent is         y-y0 = m (  x-x0)  For normal equa...

Q: 5. This is the graph of the function f. The dashed lines represent the asymptotes. Select the x-valu...

A:

Q: 37. Electricity The combined electrical resistance R of two resistors R, and R, connected in paralle...

A: Given: Resistance R1 , R2 ,and combined resistance R are related as:1R=1R1+1R2where,  R1=50 ohms  , ...

Q: Find (f)(a). (x) = 3x + 3x² + 7x + 7,

A: We are given the following. We know that . So,         f-1'(7)=1f'f-1(7).

Q: 16. The first derivative of the function f is given by f'(x) = 3x* – 12x'. What are the x-coordinate...

A: Given: first derivative of a function as f'(x)=3x4-12x3To identify the points of inflection of x-coo...

Q: Use the Product Rule to calculate the derivative for the function h(s) = (s¬2 + 8s) (5 – s-1) at s =...

A:

Q: 192 Chapter 3 Differentiatio 27. Sports A baseball diamond has the shape of a square with sides 90 f...

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

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

A: Note :- This is multiple subparts questions. And according to our company guideline we can do maximu...

Q: of the rod to the water? 10 ft Figure for 41

A: Question   angle of elevation of  a fish is reeled in a rate1 foot per second from the point 10 fee...

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 3y(x2 – 1)dx + (x3 + 8y – 3x) dy = 0

A:

Q: The functions f and g are defined as f(x) = 5x – 2 and g(x) = - 7x². f and a) Find the domain of f, ...

A: The given functions are f(x)=5x-2  &amp;  g(x)=-7x2

Q: The radius of a circle is increasing at the rate of 2 cm/min. 1. Find the rate of change of the circ...

A: topic - rate of change of circumference and area of a circle

Q: S In(x² + a) dx

A:

Q: Express your answer in 2 decimal places.

A:

Q: dy (13) 2+ 3y = 3x²e¬3* dx

A:

Q: (x-G -0 +2) dx + 2(x+2y+2) dy:

A:

Q: S(arcsin 2x)²dx

A: Given that a integration of (arcsin2x)2. We solve this integration by using general formula of the i...

Q: sin(5æ) lim when x is measured in degrees. sin(5æ) lim (Give your answer accurate to at least 0.01.)

A: The objective of the question is evaluate the limit of the function.

Q: Find the degree of the term – 5: - Find the degree of the term 6x°: Find the degree of the term læ?:...

A: To find the degree of the polynomial.

Q: a) Evaluate the Riemann sum for f(x) = 3.x² – 6x+1, taking the sample points to be right point and a...

A:

Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by f at a. 37 f(x) = sin x, a = 4 Po(x...

A:

Q: For which points the following function is continuous y f(x) = (2x – 4)2 – 4 %3D

A: Given the function is y = f(x) = (2x-4)2-4

Q: I sin(z) cos I) COS(2C (x) dx %3D

A:

Q: z dV, where E is the solid tetrahedron with vertices (0,0,0), (2,0,0), E Find (0,6,0), and (0,0,3)

A:

Q: y'(2y - x exY) = 2 +yexy

A: Given that:

Q: sin2x C. Evaluate lim- using table of values. Let x takes on the values 1.5, 0.8, X-0 0.5, 0.2, 0.03...

A: Given:limx→0sin2xx

Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

A: Given :f(x)=3x+1g(x)=x