Find the value of a which makes the function below continuous on (-∞, ∞). f(t) = [a(x²/2) x < 1 (√x)/7 x ≥1

Q: c) Yp = Asin(2t) + Bcos (2t) Q13) The general solution for y' = 6y²x, is: a) == 3x² + c b) = x² + c…

A:

Q: l₁: x = 7+2t, y = 2 + t, z = -6 - 3t y-9 Z-13 l₂: 3 - x = -5 -5

A:

Q: The vector a has a magnitude of 7. Its x component is 2, and its y component is twice its z…

A: Given: The vector 'a' has a magnitude of 7. Its x component is 2, and its y component is twice its z…

Q: P1: Calculate the area bounded by the curves: A. y = x² and y² = x.

A: Since you have posted multiple questions which are not interlinked i can do first question(area-A)as…

Q: Determine the following derivative with respect to x: Y = cos(sin(cos x))

A:

Q: Evaluate the following improper integral or state that it is divergent. * 2 3 dz 6 -1 $4 – 2z

A: ∫-1234-2z6 dz Note:     Multiple questions are given, we are answer with only one question. If you…

Q: Find dy dx In y = e sinx Ody dx dy dx O dy dx O dy da - = = 1 = ye" sin x ye" cos x 1- ye" cos x yey…

A:

Q: x+3 x ³ + 8x² +16x S da

A: To evaluate the given integral by using partial fractions.∫x+3x3+8x2+16x dx

Q: Show that: l (i) a a a a al la al = = (2a +l)(l

A:

Q: The Laplace transform of signal xi(t) is shown below. Determine the initial value x(0)

A: Above question is solved.

Q: (*). (1) without a calculator. We will do the followings: 1.2.3.4 7.6.5.4 = 2.3.4 7.6.5 7.5 = 1 I…

A:

Q: ? Question Draw the gradient f( − 1, 1), starting at ( − 1, 1), on the contour map of f(x, y) = xy.…

A:

Q: A 15-foot ladder is leaning against a mango tree. If the top of the ladder is sliding down the tree…

A: We need to find rate of bottom of ladder moving.

Q: Find the arclength of the curve y = 3x² + 5 on [0,3].

A:

Q: Determine an equation for normal to the curve y = at x = x = -2.

A:

Q: A car drives 30 km northeast, then 10 km south. Its displacement from its original position is a)…

A:

Q: integrate using partial decomposition (y^2)/(y+1)^2(y-1)

A:

Q: 1) e5Ln x+4Lny-Ln z 2) 2Ln√x + 2Lnez - 2Lne* Rewrite the following quantities

A: Given :1. e5Lnx+4Lny-Lnz2. 2Lnx+2Lnex-2Lnex

Q: Find the Taylor Series for In x about the value a.

A:

Q: = Calculate the area bounded by the curves: A. y = x² and y² = X.

A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…

Q: | 1) 2Ln(√x + 3) + 2Ln(√x − 1) = Ln(6x - 7) 2)3x+2 = 27

A: This question is related to solution of equations, we will solve it using given information.

Q: Find the median of 65 70 65 62 64 73 67 60 50

A: Follow the procedure given below.

Q: 2x² + 3x + 3 (x + 1)³ - dx

A:

Q: r(t) = (t sint, 1 - cost) at the maximum point (x, y) = (1, 2) which occurs when t = . You will need…

A:

Q: Determine the first four terms in the binomial expansion of (-3-2x¹).

A: Here we have to open the binomial expansion.

Q: Calculate the direction of P1P2 and the midpoint of line segment P1P2. P 1(3, 4, 6) and P 2(6, 0, 1)…

A:

Q: 1.If f(x,y) cos(4x-2y)+ln(y² -2x) find £xy fx fxy,

A:

Q: The angle between the vectors [√2 – 1, √2 + 1, √2] and [1, 1, 1] is: 45° 60° 90° 30°

A:

Q: Consider h(x, y, z) = ln (xy) —sin (y²)+e** at the point P (1,1,0). 1 the following: (a) the…

A:

Q: Exercises A write the 1st 4 terms 1. >. र 2641 0:4 [(-₁)^(²) 2. 2. I

A: Given that infinite series is

Q: 3. Find the equation/s of the TL to 9x² +16y² = 52 which is parallel to the line 9x-8y = 1.

A:

Q: A transportation company sells 2000 bus tickets per day when the price is $10 per ticket. They…

A:

Q: Which of the following functions is entire? For each, justify. = 2(32) ƒ(z) = 2'

A: Given :   f(x)=2(3z)

Q: Find the derivative of the following exponential and trigonometric functions: please attach your…

A:

Q: If real and imaginary part of an analytic function are constants. Show that the curves given by u…

A: Function f(z)=u(x,y)+iv(x,y) is said to be analytic in a region R if:-(i) ux,uy,vx,vy exist and(ii)…

Q: if X(z) is the z-transform then what is the z-transform of x(n) of x(n- ?6)

A: In this question, we need to find the z transform of x(n-6).

Q: Determine whether the given function is even, odd, or neither. f(x)= x³ +sin 2x

A:

Q: S (2y-3) dy 2y ³-y²-27y + 36

A:

Q: If X(z) is the z-transform of the signal x(n), then what is the z- ?transform of the signal x(-n) x…

A:

Q: Which of these series, if either, converges conditionally? 1. - (−1)k k=√k (-1)k II. Ÿ (- 1)*…

A:

Q: Let r be the reciprocal of n. Find the instantaneous rate of change of r wrt n and relative rate of…

A: According of Bartleby answering guidelines we can answer one question only at a time, therefore I…

Q: S arctan y dy y3

A: Let's evaluate given integral.

Q: f(x) = = 250 x1.40

A: As we know that; The Power Law: ddxxn=nxn-1 And a·f'=a·f', where a is constant.   The given function…

Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 6) A biologist monitoring an infestation of grubs has an initial population of 400 grubs per hectare…

A:

Q: 12 1= A ✩ = OÅ and √ – OẺ . Then, AC is equal to: U= = Oa)-7-7 Ob)-7 Od-+7

A: Topic:- vector algebra

Q: F cos 2x dx sin x

A:

Q: Its tot as TR = 300q - 6q² and its total costs as TC = 4q². a) Determine the optimal quantity and…

A: Given

Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n) Roc |Z| 0.5 Option 1 1 (1-0.5z-¹) 1…

A:

Q: 3. Waile si Sigma Notatimi 1. 12-201 4 곱 so times 나스

A: