12. x = 5 – 5t and y = -t + 3 for 1

Q: 7) S fysinx'dxdy 1 ans:- (cosl–1) 6 4 -y

A:

Q: H(x)= In(x+2)

A: our objective is to find x

Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

A:

Q: (11) Let X = n(µ,4) and Var(2x) = E(4– 7x) find u.

A:

Q: 15. As x increases uniformly at the rate of 0.002 feet per second, at what rate is the expression (1…

A: We have given that                     ( 1+x )3= f(x)      ,  then we have to find out value of dfdt…

Q: Find L-1. by convolutions. l(s-1)².

A:

Q: 1 If h(x) = 5 + x and k(x) = which expression is equivalent to (k h)(x)?

A: Given : h(x)=5+x   and k(x)=1x we have to find (k∘h)(x)

Q: which of the folowiny -xト! is -3x 2 へ pove seies fore =e.e e E (-)"(-3x) n ハン 0 37 B. e (3x)" nこO *ス…

A:

Q: Suppose /(x) =. Evaluate: /r(s) dr 5--x A - 21n|x– 10| +C ® --m\x– 10| + C 2ln 5 + D +C

A:

Q: 5sin x d) y = In 2

A:

Q: evaluate nCx px qn-x  for n=5 x=2 p= 1/2

A: Given: n=5 , x=2 , p= 1/2 We need to find, nCx  px  qn- x We know that, nCx= n!/[(n-x)!(r)!] q= 1-p

Q: In 8 In y S S e*y dxdy x+y

A:

Q: 15. Suppose X - Bino(2,). Find P(X = 0|X < 1). (а) 3/4 (b) 1/4 (c) 1/2 (d) 1/3 (е) 2/3

A:

Q: 4. If LM = 41 – 2x and NP = 7x + 5, find LM. L N M P

A: Given,

Q: (d) For k satisfying -8 < k < k + 4 < 8, compute P(k < X < k + 4). (Round your answer to two decimal…

A:

Q: 4. Explain why (* + ÿ) + (ž + t) equals MQ in the following diagram.

A: answer is in next step

Q: (3) Let X = n(u, 4) and Var(2x) = E(4 – 7x) find µ.

A: Given X is normal distribution with  mean =μVaraince σ2=4Standard deviation =4=2 If X has Variance…

Q: For x=e6t y=531, find y" when y=1- - In 5 ( In 5- 2) 4 - (In 5- 1) 12 O 3 - In 5 (In 5- 2) 2 - (In…

A: topic - derivatives

Q: /2 5b) What is ll xl)=(2 ²) if x= G,s%2;X3=--) toce where -n/2 2. and Xn = L?

A:

Q: If z 6.57 (rounded to 2 decimal places) and y = 6.017 (rounded to %3D (a) the upper bound of x + y…

A: x= 6.57(rounded to two decimal places)  and y=6.017(rounded to 3 decimal places)

Q: 12. If IN = 2x + 10 and AT = 26, find x. %3D %3D В 丰 N A O 6 O 12 О 10 8. -

A:

Q: If n=10 and p=0.5, find P(x=8) Give at least 4 decimal places.

A:

Q: Find the general Selution yer r the equatiJen S/0x)-14 ()+ 0 By(x) = =D0 dlax

A:

Q: Differentiate all three problems

A: To apply the basic rules and obtain the derivatives of the given functions

Q: Q3) IF N=[9; 8; 6; 5; 4] find 1- G=length(N) 2- C=N; 3- max (C) 4- min (N) 5- T=C+N

A:

Q: dy n=0

A:

Q: (19) ds dt t= -1 if 5=1-3t

A: The given function is s=1-3t2

Q: (11) If f(x) is a p.d.-fand fla)=√ at ² 04x61 Ind the value of a ae 12x ≤2 O elsewhere

A:

Q: (8) If w = 5x² + 2y², x= -3s+t, and y = s – 4t. Find and Əw as

A: The objective is to find the partial derivatives .

Q: For #9 & 10 solve for all x in the interval [0,2x). Round to 3 decimal places only where necessary.…

A:

Q: Suppose X~N(148,8), and Z~N(0,1). Then x = 143, is equivalent to z = ______. (Round your answer to 2…

A: Given information  X ~N(148,8) Population Mean (µ) = 148 Standard Deviation(σ) = 8 X= 143

Q: 3) Graph if メニ0 if x>o and Txlis odd ○フメ ナ and Lx1is od d - x+ if x>0 and Txlis even -X--if x so and…

A:

Q: Suppose that q +1 is a constant. Calculate the sum n Sn > kq* = q+ 2q² + 3q° + · · · + ng" k=1

A:

Q: 19. Given that 20t8=3and that ö n .... auto sece t wsece Sın`9 tos g

A:

Q: 10. If h(x) = In(2 – 3x)5, find h' (0) - А. В. 15 С. 2 D.

A:

Q: 1 The x value(s) if 2**z = 128*

A: We have to find the value of x for the given equation: 2x+12=128x We have…

Q: Q5: S x dx ajconverges to 1 bjconverges to cconverges to- 4. d)diverges 25-2

A:

Q: 1+ In x If y = 1- In x The value of y' = 10.62 at x = 2 %3D

A:

Q: Find the sum of E n(n + 1)x" = for < x </

A:

Q: x is within 5 units of 1. Olx-1 s5 |x - 1|> 5 |x -1|2 5 Olx-11-5

A: We will solve the problem

Q: 2+4+... +n lim 7n2 + yn

A: limn→∞2+4+....+n7n2+n

Q: 16 Find F(0) if F (t) = L-} O 4 O 2 O 16

A:

Q: (27) Let X = P(2) and E(-x) = E(5 – 5x) find 2.

A: Given: A random variable X follows Poisson distribution Mathematically, X~Poi(λ) The probability…

Q: Suppose P(t) represents the population of a certain mosquito colony, where tt is measured in days.…

A:

Q: Suppose X- N(H, 36 ) and P( X > 6 ) = 0.13. Determine the value of u. (Give your answer to 4 decimal…

A:

Q: 3) Find the deri vative of cscC (x) (xf3)' X4

A:

Q: 16) * Find y' if y In (x2-8), when x 4

A:

Q: 2r+1 if the values of x, y is O none O x-1,y32 O x-2,Y3D2 O x=2, y =1 223

A: Two matrices are said to be equal matrices if they have the same order ( dimension) and the…

Q: 1 A. Using convolution to find L¹ [(5+2)(s+4)].

A: Convolution Theorem : If L-1F(s)=f(t) and L-1G(s)=g(t) then L-1F(s).G(s)=∫0tf(u).g(t-u)du. (As per…