Exercise 2.5 Find the differentiation of the following functions. i. y(t) = tanh (3t – 6) III. y = 2 sech² 5πx Exercise 2.4 Find the derivatives of the following functions. == i. g(t) = cos 3 t 8 iii. f (x) = 5 cos² π x

Q: Given f(x, y) = -4x³- xy + 2y², find the following numerical values: f=(0, 4) = fy(0, 4) =

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Q: ○ f(x) 4. Compare the relative rates of growth of the following pair of functions and give the…

A: Step 1: 4-Hence the growth of function g(x) is faster than f (x). Step 2: 5- Step 3: 6- Step 4: 7-

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A: Step 1: Given,∫−2π​2π​​1+(sinθ)22cosθ​dθ Step 2: Let's solve this by using u-substitution…

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Q: Given f(x, y) = 5e² sin (4y) vs (0.7) -

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A: a)The cross-sections perpendicular to the x-axis are circular disks with diameters lying along the…

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A: Let's calculate the ratio (an​an+1​​)for our series:…

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A: Step 1:​I=∫04​(4−x)3/21​dxI=t→4−lim​∫0t​(4−x)3/2dx​​Step 2:​I=t→4−lim​∫0t​(4−x)−3/2dxUsing the Power…

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Q: K If $5000 is invested for t years at 9% interest compounded continuously, the future value is given…

A: If $5000 is invested for t years at 9% interest compounded continuously, the future value is given…

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Q: Find the area of the shadal aren y=e X= In4

A: Steps and explanations are as follows;In case of any doubt, please let me know. Thank you.

Q: Find the Taylor series for f(x) = at a = 3. x

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve the triangle. C = ° (Do not round until the final answer. Then round to the nearest degree as…

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Q: I Find the following indefinite integrals. dx = cos(t) (5 sin(t) +12)² dt = +C +C

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Q: Solution to question 3 please

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Q: 4. 1

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Q: Use Stokes' Theorem to find the line integral of F = 6yi +3zj + 3xk around the boundary of the…

A: Step 1:Given that, F=6yi^+4zj^​+3xk^  around the  boundary of the surface S given by: z=9−(x2+y2)…

Q: == Over the next 10 years, a company projects its continuous flow of revenue to be R (x) = 90e0.15…

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Q: 18. MNPQ is a parallelogram and R is the intersection point of the diagonals MP and NQ. Let u = MQ…

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Q: 3.4

A: Step 1: Ratio Test:The Ratio Test states that for a series ∑a_n​, the limit L as n approaches…

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Q: 10

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Q: Dèterminer les forces qui s'exercent sur (s) sur la figure sans souci d'èchelle

A: D'après l'image fournie, on peut identifier les forces suivantes qui s'exercent sur le corps (S) :Le…

Q: Follow the graph to answer the question.

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Q: 3. Given the piecewise function, find each function value. (1 pt each) a) f(0)= b) f(12) = (x+4)²…

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Q: 7) Two residential buildings are to be constructed with a grassy recreational area between them. The…

A: The solution has been attached below:

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A: To solve these questions, we can use the diode equation:V=VBIAS​−ID​×Rd​Given that \( V_{BIAS} = 3.7…

Q: Solve 1xy' -4y = x¯ 1xy4y 4, y(1) = −3. (a) Identify the integrating factor, a(x). α(x) = (b) Find…

A: Step 1: Step 2: Step 3: Step 4:

Q: Help

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: the answer i have for this question 81496800 need to make sure i am right please help

A: any doubt, please ask

Q: Given the function f(x) = cos(5x), compute the right-endpoint (Riemann) sum using n = 3 on the…

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Q: Problem 1. (1) The integral 1 So + √√x(1+x)dx is improper in both ways we have discussed in class:…

A: Step 1: Evaluate the first integral Step 2: Evaluate the second integral Step 3: Therefore the…

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A: Step 1: Step 2: Step 3: Step 4:

Q: 11

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Q: 2. Definition: The angle of inclination is the angle, 0, made with the positive x-axis and 0°≤0≤180°…

A: Step 2: Step 3: Step 4:

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A: Step 1: Step 2: Step 3: Step 4:

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A: Please refer to the solution

Q: 00 n=1 (-1) "200 n0.7 For the series below calculate find the number of terms n that must be added…

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Q: 24. Write a vector (-3, 22, -3) as a linear combination of the vectors (-1, 2, 3) and (0, 4, -3).…

A: 24)  (−3,22,−3)=a(−1,2,3)+b(0,4,−3)(−3,22,−3)=(−a,2a,3a)+(0,4b,−3b)(−3,22,−3)=(−a,2a+4b,3a−3b) To…

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A: Step 1: Step 2: Step 3: Step 4:

Q: Let f(x) = x², and compute the Riemann sum of fover the interval [7,9], choosing the representative…

A: Step 1:Step 2:Step 3:Step 4:

Q: Find a plane containing the point (2,2,-5) and the line r(t) =&lt;-6, -3, -7 &gt; + &lt; 6, -6,1…

A: Steps are explained in the image:

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A: Step 1: Provide the given function: y=1−4x2​​ Step 2: Solve for the first derivative of the…

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Q: Write interval notation for the given graph. -10 -9 -8 -6 -5 -3 -2 -1 0 1 2 3 4 The interval…

A: Thanks for your patience!Kindly comment if you need any clarifications.

Q: Solve the triangle. a 6, c 2, B 90° b= (Do not round until the final answer. Then round to the…

A: Thanks for your patience!Kindly comment if you need any clarifications.

Q: Consider the following piecewise-defined function: f(x) = { 4-ax² if x ≤1 b 2x if x > 1 Find the…

A: Ans :Now we need to sketch the graph in the interval [-3,3]Firstly let's find some points on the…