+6n +3 is Θ (n)

Q: 3-17. + -2 -1 1 2 f(x) 0.2 0.4 0.1 0.2 0.1 (a) P(X-2) (d) P(Xs-1 or X = 2)

A: Since, you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. f(x)=-5sin ax+- 江x- +2 2

A:

Q: cransform of 3(t-2) u(t –

A:

Q: -5 [1 -3 0 and U =0 If y =-1 -141 find the value of x, from Ux = y. 1 Lo 0 14]

A: multiplication of two matrices with the correct size  Option  d is the correct answer  x1= 1

Q: Choose the formula for finding the slope m of a nonverticalline that contains the two distinct…

A: Given two distinct points.

Q: (2siny + 1) = 4 and y(0) = what is x when y =n?

A:

Q: x1, x2, x3...... x20000 iid U(2, 9), find approximation for 2X-20

A: Central Limit Theorem : If X1, X2 ..... Xn are iid random variable with mean μ and Variance σ2 then,…

Q: 1 Vx-5 Q Find the domain of y = |x-31 lx+5| x2-25

A: The given function is: y=1x-3-1x+5+x-5x2-25

Q: Sketch Z= 2x^2 + 3y^3

A: Given, Z=2x2+3y3 To find: Sketch the plot for Z

Q: 2x-3 3. Let f(x) = 3x+4' ,find Y as Ax -0 Ay

A:

Q: 0st<3 -t, 4. Find the convolution of f(t)={2' 0, otherwise 4, -1<t<3 and g(t)=- |0, otherwise…

A: Given:-            ft and gt                 = f×g = ∫-∞∞f t - τgτdτ.…

Q: x -> 0

A:

Q: -3 1] Find P(A) for p(x) = x² + x – 2 where A 2.

A:

Q: dæ - x² – 10a – 21 -x – 3 - In x + 7 -æ – 3 -In +C +C x + 7 A x + 7 æ + 7 -In -x - 3 +C -In -x – 3…

A: Here we will solve the given intigral,

Q: 4. y = vx +2 %3D x,for - 2 < x< 2 2, for x22 (x-1,for x< -2 5. y=

A: To sketch the graph of the given function and determine the domain and range.

Q: f(x)= 7tan-1(5sin(4x)) f'(x)=?

A: We have to find the derivative of the given function f(x)= 7tan-1(5sin(4x)).

Q: 2=Cメて+x -x2 Using Cramer's Rule メメt10n- 3xx=5 %3D

A: Solution using Cramer's rule is given as follows :

Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

Q: 2 a) y = Find y'. 3e (ax-5)4

A: Explanation and solutions is given below.....

Q: 1 Vx-5 Q Find the domain of y = |x-3| |x+5| x2-25

A: Given y=1x-3-1x+5+x-5x2-25. We know that The domain of a function is the set of input values for…

Q: -6 Let y = ( 5x + . Then dy - A(5x + )" (5 -)". = A 5x + where %3D B = C = D =

A: To find the derivative of y with respect to x

Q: 4. f(x,y) = x² + 3xy x-24

A: We know that degree of each terms are equal then given function is called homogeneous function.…

Q: (3 f(t) = - 2<t< 2 otherwise %3D

A:

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: iii) ä(t) – 9x(t) = 0, x(0) = 1, ±(0) = 0 -

A:

Q: 2t + 7 f(t) = t- 3 %3D h(n) = - 2n2-3n+1 %3D f(h(-1)) =

A: Here we have two functions f(t) and h(n), we want to find the value of f(h(—1)). To find f(h(—1)),…

Q: ne rank Of t 3 x x =|x 3

A:

Q: 1 f(z) = |, + tdt If then f'(x) = 3x^6 f'(-3) = 729

A: fundamental theorem

Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

A:

Q: What is the end behavior for this equation? f (x) = - (x+3)² + 1 %3D | O As x -0, f (x) -00, and as…

A: The given function is: f(x)=-(x+3)2+1

Q: 3 2 y X-3x-x t3 From X = -1 to X= 8

A:

Q: y = In(x7/2); (1, 0) y =

A: We are asked to find the equation of the tangent line.

Q: 16) f(n) = n² – 2n; Find f(n²)

A: Solution:

Q: 2 3. y' + ²y = -x²y²cos x

A:

Q: f(x) = - 4x - 2 on (- 0,0)

A: Given: fx=-4x-2 on -∞,∞ To determine whether the graph is increasing or decreasing on the given…

Q: 2. y(x) = C1sin2x + C2cos2x + 1; y) = 0 and y' ) = v2 C1 = C2

A:

Q: a. Ak x+2, y=x→_ b. As x→2, y =-x →_ 6. As x → 2. y =x'+ 3x² →. d. As x→-0, y =-3x² →. e. As x→2, y…

A: answer of given question is in step 2

Q: f.(1,1) + fy(1,1) = ?

A:

Q: f(x)= k(3x + 4), x =-1,0,1,2 Find p (x2 2).

A: The probability function of X is given by f(x) = k(3x + 4), x = -1,0,1,2

Q: h(x1,x2)=x2e-x1 at (2,-1)

A:

Q: 1 y = [cosh(2x)] co* ot-1

A:

Q: f(x)= k(3x+4), x = -1,0,1.2 Find p (x2 2).

A: The probability mass function is given as follows: f(x) = k(3x + 4), for x = -1, 0, 1, 2.

Q: 2. Зу"-14y-5y-0 ans: y=cje" x+ (-1/3)x

A:

Q: b) Let X-p(5): Find 1. P(x) 2. F(x) 3. E(x) 4. V(x) 5. P(x=0) 6. P(x>1)

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: S(3x².fu)+x°, f'(x) dx =24 so, so, f(2) = ) %3D

A: We have to solve the given question. Derivative of the function f(x) can be written as f'(x) Product…

Q: x+7 (c) lim r→-7 Vx +11 - 2

A:

Q: The characteristic equation of the ODE y (3) -2y'+y²=0 is defined by p3 – 2=0 3 – 2r+1=0 r³-2r=0…

A: We have to find the characteristic equation of the ODE as given y3-2y'+y2=0

Q: 1- t2 (1 – 2xt + t2)3/2 (21+1)P(x)t' = %3D

A: Introduction The legendre polynomial denoted by Pnx. The solution of physical problems is the class…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.