What is Wronskian of e' and et? 1. -2 -2t O000

Q: If y (4x + 6)*, find y'(1). O 10ln(10) + 4 %3D O In(10) + 2/5 O 10ln(10) - 2/5 O In(10) - /5 O…

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Q: Q2] Find the lower bound of Iz - 3|if |z - il < 1

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Q: -35 Find s?(s°+4)

A: We will find out the required value.

Q: Differentiate the following function 3 U = ²³² √² + ² + 2 u= +2√+³

A: Derivate with respect to t

Q: 5.16] Use the function f (x) = xe¯ ¯x² to find fave on [0,4] %3D

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Q: 2. Height travel by the rocket in first 6 seconds is given by s = (5 103) || In (T00-4) dt- 180…

A: I am attaching image so that you understand each and every step.

Q: dx Evaluate x²/4 x²

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Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: Q4/ A- If p (A) =0.4, p(B) 0.2 and p (An B) 0.1 determine the following properties P(A'), P (A U B),…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Q2: EVALUATE * S I5(x) dx Js(x)

A: To find : ∫J5xdx Using the formula  ∫Jn+1xdx=∫Jn-1xdx-2Jnx Here n=4

Q: In the set-up of Example 11.1, evaluate P(R = r, Y = y) for all possible values of R and Y. Use your…

A: Here, balls are drawn without replacement. Hence, the joint PMF of R: The number of red balls, and…

Q: Find the length of the graph of f(x) = ² - In(x) for 1 < x < 10. 99 1 a) 4 -In(10) 99 + In(10) b) 4…

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Q: Consider the ODE y'=- *g*. Startng 5x* y² Starting wo Euler's method 2 with Xo = 0, Y%= 1 & uring…

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Q: What is y' of y= 7√x 3√x ? A B C D 21√³ (In 7 + ln 3) (In 4) 21√x √x 21√ In 10 2√x 3 In ( - ) 21 V ²…

A: We have to find the point on paraboa y=-x2+4 whose tangent line is parallel with y=3x+5Parallel line…

Q: let X~N (20,0.36), if P(X<b) then the value of bis = 0.05

A: X~N(20,0.36) Mean(μ)=20 standard deviation(σ)=0.36

Q: 4- [10 points] Evaluate f x²4* dx

A: We have to determine the integral of ( x24(x^3) )dx.

Q: %3D Evaluate the fo llowing intergrals nest_x5 dn.

A: Solving by definite integral we have

Q: {b_n}={3^n/n!}

A: We first expand the summation sign

Q: By using the substitution u = 4x + 1, evaluate (4х + 1) dx +x + k 4x? + x + k (4x + 1)² + k x' + x +…

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Q: > [2] S 1+e* dx 1-ex

A: The solution is given in the next step.

Q: For any natural number m, evaluate 1/m +x")( 3m 2m 2m +x 2x +3x" +6)"* dx, x > 0. m X

A: Topic:- Integration

Q: Show that 1 1 2 y? 2 = (y? – *)(2² – a²)(2² – y') 4,

A: We have to prove that  We will it by using the properties of determinants.

Q: DeMorgan's theorem states that Select one: a. (A + B)' = A' * B b. (AB)' = A' + B' c. A' + B' = A'B'…

A: We are given some statements to verify De Morgan's theorem. We can do this in the following way:

Q: What is the domain of r(t) = e'i + tij+ cos(t + 8)k? (Use symbolic notation and fractions where…

A: We have to find the domain of the given function r(t).

Q: x*(8 + x')*dx x° (8 + x?)°dx Select your answer from one of - 28(8 + x')* + C O b. a. 28(8 + x')" +…

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Q: iid, Let X1, , X"N(u,0²). Which is more efficient i, = X + }X,or îz =* (a) lz for n>5 (c )µz for all…

A: An estimator is said to efficient estimator if the variance of that estimator is less than the other…

Q: -4] then A-1 = -21 [1 If A = |0 [4 -1 1

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Q: Suppose X~N(125,16), and Z~N(0,1). Then x = 141, is equivalent to z = ______. (Round your answer to…

A: For large sample n&gt;30 so, it is a z test. x~N(125,16) =125+16 = 141= x.

Q: Evaluate x* (1-x3)0/2 dx Select one: 3*1*3*1 , T 8*6*4*2 2 O None 3*1*3*1, T 8*6*4*2 4 7*5*3*1, T…

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Q: 11. Which expression does NOT equal 25n12? a. (5n°)2 b. (5n³)(5n°) c. 25(n°) d. 5(n2)

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: