P(Z < 1) = 0.8413, Z = *= ¹9 x~ N(μ₁0²) if it was 1.8626 So P(Z < 2) = 0.9772 .P(μ-o

Q: 4. § 3²*dx 5. S(e* + 1)³e*dx 6. S(e* – x°)dx

A:

Q: If X~N(μ , 5), Find μ if P(X>12) = 0.02118

A: We have given that.    X~N( μ , ?^2 )    μ = ?    , ? = 2.23607   Z-score =( x - μ )/?

Q: Marco sells and ships oranges from his grove for $1.20 per pound plus a shipping fee. One package…

A: Total cost = 18.65 shipping fee = 4.25

Q: 16x (x* + 1) 7. dx = (A) 3 (824/3 – 1) 16 - 814/3 (B) (C) 4 (824/3 – 1) 64 814/3 (D) 3 3

A:

Q: 7. lim X-2 x+2 A. 1/4 В. 1/-4 C. -4 D. DNE

A: We can find the answer as below.

Q: y aln(a) – y = 0; y(2) = In(4)

A:

Q: 12. If m/PSQ = (6x – 13)' and m/PQS = (x + 5)', find m/PQS.

A: In a triangle PQS,  Angle of SPQ=90 so, Angle PSQ + Angle PQS = 90 6x-13 + x+5 = 90 7x - 8 = 90  7x…

Q: Suppose X ~ Bernoulli(0.5), Y ~ Bernoulli(0.1), independent. What is Var(X*Y)?

A: We have given that  X ~ Bernoulli(0.5), Y ~ Bernoulli(0.1)The variance of Bernoulli distribution  is…

Q: If X~N(3,16) then P(4SX<8) = 0.5987 0.2957 0.8944

A:

Q: Let (a) 10.5 3.5 ・6.³.5 P f(x) dx = 9, [ r(x) dx = [ 3.5 10.5 a £10.5. f(x) dx = 4, and (b) (8f(x) -…

A: Given,

Q: if y= x/lnx then find y`

A:

Q: Find f"(3) * S(x) = 3*+1 107.403 322.210 97.763 38.917

A: Given, f(x)=3x+1 To be found : f"'(3)

Q: 13 [ 1.5 11.5 13 Suppose f(x)dx= 4 14.5 (8 f(x) - 7)dx = f(x)dx = 8, 11.5 ["³ f(x)dx = 7, 14.5 13…

A:

Q: If X~N(3,16) then P(4<X<8)= 0.8944 (0.2957 0.5987

A:

Q: Given f(x) = xe^2x Approximate f (0.8) for h = 0.01 (an increment in x) by using the three-point…

A: Given fx=xe2x To approximate f'0.8 for h=0.01 using the three point central difference method. The…

Q: 0.08e* Determine p' (x) when p(x) = Select the correct answer below: 0.08e* %3D (x),d O (12)(x^)-(…

A: topic - derivative of a function

Q: d 3(In(In x))? 13. - (In(In x)}³ dx x In x

A: According to the question, we have to prove the statement ddxlnlnx3=3lnlnx2xlnx. The derivative of a…

Q: 1 dx 0 1+x3 3/26 (In 8+ \3) 1/10 (In 8+2n O 1/9 (In 8 - m3)

A: Using the partial fraction of denominator.

Q: 2. Given: L//L2, L3//L4 Prove: < 2 E< 4 L2 2. Ls LA

A: Given:- L1 || L2 ,L3||L4        To prove :- ∠2≅∠4

Q: 1 6 7 3. m<4 = (x')° m<6= (3x)" 5n

A: Corresponding angles are the pairs of angles that are found in the same relative position on…

Q: Find d da In(x) + 7* e4x³ - e -

A: d dxlnx+7xe4x3-e

Q: S 8x dx/1+4x? (x = 0 to 1/2) * O In (2) In (6) O In (4) If y = (x? - 1)/(x² + 1) then dy/dx 2x / (x2…

A: Q-1 : I=∫01/28x1+4x2dx =∫01/2ddx(1+4x2)1+4x2dx (∫f'(x)f(x)dx=lnf(x)) =[ln(1+4x2)]01/2…

Q: | (2/x-1)? dx= 4/x-ln x'+x+c. 1. 4/x+ln x*+x+c. 3. (-4)/x-ln xª+x+c (-4)/x-ln x+x+c.

A: Given: I=∫2x-12dx for evaluating given integral, first we expand given expression so, I=∫2x-12dx…

Q: n = 8 a =0.05 x? in

A: Given  Level of significance=ɑ=0.05, n=8

Q: (f) P(Z > z* or z <-z*) = 0.2044 * z* = -2.48

A: P(z &gt; z* or z &lt; -z*) = 0.2044

Q: B. Evaluate: dx (x² -36) 1/2 * > 6 S

A:

Q: Given f(x) = ln(ln æ³) Diberi f(x) = ln(In x³) %3D 3 Show that Tunjukkan 1 f' (x) = xlnx %3D

A: Given that the function is fx=lnlnx3 and it is required to show that f'x=1xlnx.

Q: By using the substitution u = x3", find nx3n-1e + 8) dx where n is a constant. Hence, evaluate "(exn…

A:

Q: 4x + 4 -dx. Choose all of the following that are correct. x² + 1 Consider the definite integral

A: To evaluate: ∫014x+4x2+1 dx Solution: We know that, ∫f'xfxdx=lnfx+C ∫1x2+a2dx=1atan-1xa+C

Q: For numbers 16 – 20: Let y = x In x. In finding y'(x) using numerical differentiation with x, = 2,h…

A:

Q: If X~N(u, 5), Find u if P(X>12) = 0.02118 %3D O a. 1.85 O b. 2.03 O c. 11.89 O d. 22.15

A:

Q: Differentiate the following e2x+3y = x2 - ln (xy3)

A:

Q: Suppose that P(A) = 0.47, P(C | A) = 0.007, and P(C' | A') = 0.0105. Find P(A L C).

A:

Q: T = 13/1+0.07e^0.05t What is the limiting value of T?

A: