Find the area bounded by the line x-2y + 10 = 0, the x-axis, the y-axis and x=10.

Q: lim g (y) where, g(y) = Sy? +5 if y -2

A:

Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the...

A:

Q: At which of the following could a function fail to be differentiable? There may be more than one cor...

A: We have to discuss about where function is not differentiable.

Q: 3 Find the abscissa of the centroid of the region between the parabola y = 9 − x2 and the line y ...

A: Given :The parabola y=9-x2 and the line y=2-2x from x=0 to x=2.To find :The abscissa of the centroid...

Q: Find the values of a and b that make f continuous everywhere. x2 – 4 - 4 if x < 2 X - 2 f(x) = ax2 -...

A: Here, we need to find the values of a and b. We are given that f is continuous everywhere.  So,     ...

Q: (x + 6)dx J (x + 2)² 4 In(x + 2) + +C x +2 4 -In(x + 2) + C x +2 Option 1 Option 2 4 In(x + 6) + + C...

A: Evaluating the indefinite integral

Q: 2c- 5.64c + 198.6318c – 5.25 on your graphing Graph the function h(c) calculator on the interval [-1...

A: Let's find. 

Q: Given the characteristic solution y(x) = C,1-2 + C,r-3 Set up your Particular Solution, then use it ...

A: We have to find out

Q: Find the integral: log2 X dx In(2)/ 082(x) + C 2

A: Put logx = u then solve it. 

Q: If sin(0) : 3 and 0 is in quadrant IV , then find (a) cos(0) (b) tan(8) (C) sec(0) (d) csc(0) (e) co...

A:

Q: 5. Ydx - xdy + x(2 – y)dy = y? e dy

A:

Q: 3y (11) dx* 6x2

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

Q: 1. Evaluate lim (2x-5) given its graph below. X-2 b. -1 c. 2 d. 1 а. О 2. Given the graph of f(x) be...

A:

Q: Direction: Find the derivative of the function. g(z) = (3 – 2") (zª - z + 1) Select one: g'(x) = -bx...

A: Given that: g(x)=(3-x2)(x3-x+1)

Q: 4. 3y(x? - 1)dx + (x³ + 8y - 3x) dy = 0

A:

Q: Combination 1. A panel of judges is to consist of four women and three men. A list of potential judg...

A: This question can be solved using the concept of selecting r objects from n given objects when the o...

Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour exact...

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: a) Determine n-th partial sum Sn b) Show whether the series is convergent c) If the series is conver...

A:

Q: dy y = 5x y?, 7.2 dx +

A: Follow the procedure given below.

Q: Find the distance from the plane 4x + 5y + 5z= 28 to the plane 4x+ 5y + 5z = 36. The distance is d =...

A:

Q: Direction: Find the derivative of the function. (z + 1)(z + 2) (표-1)(포- 2) Select one: -6 (z? – 2) (...

A: Find your answer below 

Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

A: Given: f(x)=x2-3

Q: II. Write the equation of the circle in standard form and in general form given its center and radiu...

A:

Q: 12. Find a polar equation for the hyperbola with focus at the origin, directrix x = -2, and eccentri...

A: Polar equation of hyperbola is      r=ed/(1+esinthetha) 

Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

A:

Q: Activity 6: You are testing an electrical device which can be modelled by the following equations: I...

A:

Q: 4. The function f is defined for all real numbers. What is a reasonable estimate for lim f(x)? a. -5...

A:

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

A:

Q: Direction: Find the derivative of the function. I+5 w = 2x - 7 Select one: 17 (2г — 7)2 17 (2x – 7)2...

A:

Q: 2. Given: f(х) - х* +4x? - 2х+9 g(x)=x² +2 h(n+2) = 2h(n+ 1)– 3[h(n)] h(1) =1 and h(3)= 5 f(-5) с. h...

A: Given, fx=x3+4x2-2x+9 hn+2=2hn+1-3hn2 ; h1=1and h3=5 We have to find f-5 and h6.  

Q: Inverse Function: One-to-one   Running burns about 13 calories per minute. a) Determine the type ...

A:

Q: 6 Suppose that fis integrable, and that f(z)dz = 3 and f(z)dz = 8. Find the value of the following d...

A:

Q: dy + ( 1+x)y = e * sin2x dx

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: x3-27 dx 2. ズ-3

A:

Q: Find an exponential function of the form P(t) = Pon' that models the situation, and then find the eq...

A:

Q: If a function f(x) is continuous on the interval [a..b] and sign of f(a) = sign of f(b), then: There...

A: Bolzano's theorem: According to this if f is continuous on        [a b]And if f(a) and f(b) has oppo...

Q: S sin x e cosxdx

A: The objective of the question is evaluate the given indefinite integral using substitution method.

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: The prism is bisected by the xz-plane. If P = (5, 2, 4), what is the area of the rectangle formed by...

A:

Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O n...

A: Given fx is continuous between a and b

Q: |x– 1, ifz> 0 estimate lim f(x).- [ 1, if z 4 5. а. 1/4 b. 2 c. does not exist d. 16

A: 4. f(x)=1,if x&lt;0x-1,if x≥05. f(x)=1x,if x&lt;4x2,if x≥4

Q: Find the integral of 12sin xcosxdx if the lower limit is 0 and the upper limit is 90°. OA 11.5 O B. ...

A:

Q: 0.5 b3 a where a <b, to evaluate the integral s ds. Use the fact that a 0.5 The value of the integra...

A:

Q: Evaluate: cotxdx

A: Given:        ∫cotx dx     =∫sinxcosxdx   substitute u=sin x→dudx=cos x→dx=1cos xdu       =∫1udu

Q: Consider the function below. Use it to find the following limits. ² – 49 F (x) |r – 7|

A: Given that: F(x)=x2-49|x-7|

Q: 6. (2xy + y) dx + (x? - x) dy = 0.

A:

Q: (3) Find an equation of the tangent line to the curve y = 2x² + 3 that is parallel to the line %3D 8...

A:

Q: Find the distance from the point to the line. P(- 3,5, - 3); x = - 3+2t, y = 5+4t, z = - 3 The dista...

A:

Q: f(x) = 1 and lim g(x) 15. If lim = 2, then evaluate each limit. x→0 x→0 X f(x) b. lim x→0 g(x) a. li...

A:

Q: c) limx'e*

A: We apply L-hospital's Rule to find limit.