Figure 1 below shows the graph of a piecewise function y=f(x). y Figure 1 (i) State all the point(s) of discontinuity of f (x). Determine whether f is continuous at x =-2 and state your reason(s) clearly. (ii)

Q: Please do 15 and 17

A:

Q: 0<0 < , 3 cos 0 = Find the exact value of a) sin 28, and b) cos 29.

A:

Q: de 2. eve -9

A:

Q: 9. Compound interest. If an amount Po is invested in the Mandelbrot Bond Fund and interest is compou...

A:

Q: The included angle of the two sides of constant equal length s of an isosceles triangle is 0. (a) Fi...

A:

Q: Consider the function f which is given on its domain (0, ∞) by f(æ) = 182? (36x + 9) In(x). • Find t...

A:

Q: Write an expression for the distance w in terms of y. y=4 -3 -2 0.

A:

Q: Find the vector and the cartesian equations of the plane containing the point î+ 2j – k and parallel...

A:

Q: (S(nx)?dx re' 8.

A:

Q: A lady saves $20,500 in 12years. In each year after the first, she saved $200 more than what was sav...

A:

Q: 12. Leslie deposited $3000 into a CD and is earning 5% interest, compounded quarterly. What will be ...

A: Given deposited amount =$3000 , rate =5% and time 10 year We have to find value of CD after 10 year

Q: 11. In y = e" sin x

A:

Q: +++ = 1 find the second derivative y

A: topic - second derivative of a function

Q: solve for the unknown terms by the method of: 100 100 100 100 100 4 -1 1 X1 X2 X3 X4 X5 -1 4 -1 1 -1...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 Pa(x) =

A:

Q: 4-4e" Evaluate lim,→0 3x+x15 4 15 - 4 15 4 3 -

A:

Q: arc cos (11x) VI-121 y2 G(x)=?

A: We are asked to find the derivatives.

Q: Secos(sin-tw)dv dv S- e2cos(sin¬{w) – 4 dv S- 4+ ecos(sin-w)

A: To find the values of dv such that the antiderivatives(integrals) exists.

Q: x + + 8)(6y – 1) = 0 find the second derivative %3D

A:

Q: • Solve the differential equation and apply the given conditions. d²y dy -5- 5 dx2 dx : + 6y = 0 y(0...

A:

Q: Solve the separable differential equation for u du ebu +9t dt Use the following initial condition: u...

A:

Q: Which of the following integration expression can be transformed into integral of power (Ju'du). (Ch...

A:

Q: 16 6e4x _e-2x lim x→-∞ 8e4x-e2x+3e¬x X→-00

A:

Q: Find the first derivative.

A:

Q: x +a -)| < 2lsin(",") х — а If 0< lar – al < 8, then Isina-sinal = |2cos(",")sin(,")| х— а |2cos ("

A:

Q: 12000 For a particular commodity, the demand function is q = 3 a. Find ɛ when p = 8. E = Preview b. ...

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) =

A:

Q: a comma-separated list of equations.) Find all horizontal and vertical asymptotes (if any). (If an a...

A:

Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: Integral of sinh(e^lnarccot3x)dx/(1+9x^2)

A:

Q: Solve the given initial-value problem. y" + y = 5 cos 2x – 4 sin x, y(x/2) = -1, y'(r/2) = 0 y(x) =

A:

Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles wi...

A:

Q: (3y-2 Jdy y+2y+17

A: Topic:- integration

Q: If f satifies f'(x) = x + x · f(x) and f(0) = 3, determine f. Note: f'(x) = y' f(x) :

A:

Q: Find the radius of curvature of the curver= 4+3 sin 0 at 0 = 0. 3.7665 3.7566 O3.6765 3,5667

A:

Q: . Find the derivative of the following function. Show your complete solution. ( hint: some items may...

A: According to company rules, I need to solve first question when multiple questions are posted. So re...

Q: Express 5.55 x 102 as an ordinary number.

A: We need to express given number in ordinary number.

Q: (5- 4x2 dx 3 + 2X 4,

A: We can find the integral as below.

Q: 3(sin y– cos y)°dy cos y

A:

Q: 3) Determine whether the sequence converges or diverges. If it converges, find the limit. 3n+2 An 5n

A:

Q: Jessica and Matthew are running toward a point P along the straight line paths that make a fixed ang...

A: M: Matthew's position at given instanceJ : Jessica's position at given instancex : distance PMy : di...

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: Given u(x, t) = t°e¯ï, compute:

A:

Q: Consider the function on graph. Analyze the continuity of this function (continuous or discontinuous...

A: Consider the function on graph.

Q: Normalize the vector v = (1, 0, -1, 2, 6)

A: Given query is to normalise the vector.

Q: 3T 3Tt and <B< 2n. Find a) sin(a +B) b) cos(a+r) 4.Suppose sina = – and cosß = 13 where π<α<. 2 35

A:

Q: S(+-+e* + ) dz 3x 2x2

A: The given integral is ∫13x-32x2+e2+x2dx  

Q: What is the maximum of the function y = -x° + 3x for x > -1? O-4 O2 04 O-2

A:

Q: Find the angle of intersection between the curves y = x- +1 and y = x+x-

A: y = x2 + 1,y = x+ x-1Points of Intersection;x2 + 1 = x+1xx(x2+1) =(x2+1)x = 1y = 2point of intersect...