log7 X y =(√x) ¹087

Q: 4) a) Determine the derivative dx of the following functions y = 3** b) 1-3- 3e² 1² c) y d) y =…

A: We have to find the derivative.

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: This question is related to Functions and application of integration, we will solve it using given…

Q: (b) If ƒ is continuous on (a, b) then there is a number c in (a, b) such that f(c) is an absolute…

A: Consider the statement  If f is continuous on (a,b) then there is a number c in  (a,b) such that…

Q: X xp zo-zXI

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Q: F cos 2x dx sin x

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Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n)

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Q: Given y(t) = e-³tu(t) u(t + 3), where * denotes convolution operation. The value of y(t) as t → ∞o…

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Q: 5 n=1 (n-1)! (n + 2)!

A: We can say that if sum of the series is finite then the series is converge.

Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

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Q: Find an equation for the hyperbola described. Graph the equation by hand. Foci at (-25,0) and…

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

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Q: 6. f(x-1) dx/(x+1)

A: **As per our guidelines, we are supposed to answer only one question at a time. So, we will solve…

Q: TT sinx sin 2x dx 2 cos x

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Q: Consider the function f(x) 1 1-x²

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Q: Find the final value of the system corresponding to

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Q: z, 1 + 9 + 25 + 49 +81 + ... + /2/

A: Topic = Algebra

Q: (2x-1) dx 3 2x²-x²-27x +36 f

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Q: J (secs x) dx/csc x

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Q: VIP 2 = √ Бхутуг П , Ө от 58 x = CS 0 ) y = Sine -

A: Topic:- application of derivatives

Q: 12. Setan 2x sec² 2x dx

A: As per guidelines we can solve only one questions at a time, so if you need more answers kindly…

Q: An airplane is heading north with a constant velocity of 450 km/h. The plane encounters a west wind…

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Q: x(t) = Find a plane containing the point (-3,5,-2) and the line y(t) = z(t) = 5 - 3t 8 + 6t 7 + 6t

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

A: Follow the procedure given below.

Q: 1. y" + 3y = 18x², y(0) = -3, y(0) = 0

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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

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

A: Here we have to open the binomial expansion.

Q: in S 0 n soo

A: Here we have to Evaluate the double integral

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: 1)y=(8+7x³) Find the derivative of the following functions 2)y = (x +5)*(2x + 3) 3)y=√(x²+3)²

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Q: Find the average value of the function f over the interval [0, 15]. 4 f(x) = x + 1

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Q: he polar equation for circle x^2+(y- 3)^2 =9

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Q: 2. A 6-ft tall man is walking away from a 15-ft post at a rate of 5 ft/sec in a straight line. How…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: k 1. Find the value of in a. 0.298597 C. 0.498597 2. Find the value of a. 0.138629 c. 0.158629 k in…

A: Solution

Q: integral

A: We will find the solution m

Q: √4x²(x³-5)ª dx = Ox³(x¹² - 25x¹ +250x6 - 1250x³ +6250) + c 12 15 O 16(x³ - 5)4 + c ○(x³ - 5)5 + c…

A: To evaluate ∫4x2x3-54dx Formulae used d(xn)=nxn-1d(constant)=0∫xndx=xn+1n+1+c

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

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: Differentiate f(x) = f'(x) = 2 ax with respect to x. Assume that a and k are positive constants. k+x

A: To differentiate fx=ax2k+x with respect to x. Assume that a and k are positive constants.

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

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Q: 18. sin³ x cos x dx

A: Here we will use substitution method for solving this problem

Q: 46. The region between the curve y = sec ¹x and the x-axis from x = 1 to x = 2 (shown here) is…

A:

Q: Which of the following vectors is coplanar to [1, 1, 1] and [1, 2, 3]? O a) [4, 2, -2] b) [5, 7, 6]…

A: Given vectors  [1,1,1] and [1,2,3] For coplanar with another vector, the determinant should be zero.…

Q: lim √25t2 + 2-5t

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Q: Given ƒ (t) = L-¹ [³+4 f value of k is 3s+1 s³+4s²+s(k−3) if lim f(t) = 1, then the t->∞0 10

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Q: uestion 4 (a) Solve the following: 4x*dx (b) Explain with the aid of a sketch how this value can be…

A: A detailed solution is given below.

Q: -4x 2. Determine an equation for the tangent to the curve y = (x+3)² at x = -2.

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Q: A while than 15t 7-47 / र

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Q: Q1/ If y" + 2y' F 5y = e-Sint, y(0) = 0, y'(0) = 1 9=41²^² + (2

A: As per bartleby guidelines we only give first question answers.  Let's solve given diffrential…

Q: 2. Find using implicit differentiation. Enclose final answers. dx (a) 4x³y² + x¹y³ = x + y = 0 (b) x…

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Q: 4. 5. (3t dt)/((t² + 3)) dx/ (3x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…