The line given by r (t)=(14+5t, -3t, 1+7t) and the line given by r(t) =(3-3t, 5+2t, -2+4t).

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A: Bank Discount  =100000×15100=15000

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A: This is a problem of limit. Based on the general formula we will answer the question.

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A: We need to find average concentration.

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A: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

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Q: Find the arc length L of the graph of r(t). r(t) = 4 cos(t)i + 4 sin(t)j+ tk, 0<t< 2m L

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Q: Consider a robot arm as given in the following figure

A: answer is in next step

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Q: 8. A truck is to be driven 135 km at a constant speed of x km/hr. Speed laws require that 50<x<100.…

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Q: Lnx sin 2x dx

A: Use the properties of definite integral and solve the question.

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A: To find the limit of the given vector valued function.

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Q: Given below is the augmented matrix of a system of linear equations.

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Q: 12 Given: F : =â, determine F•â. 2

A: r→=xa^x+ya^y+za^zr=x2+y2+z2a^r=r→r

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A: First write the volume of a sphere and then diffrenciate it and put all the values.

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A: We can solve this as follows:

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). 13 ||r(t)| r(t) = t'i+ t'j K(t) :

A: Using given formula,

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Q: 4 '2 If f is continuous and f(x) dx = 10, find | F(2x) dx. %3D

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Q: Q2) Find the integral value for the following functions 3x 1. S V1+3x2 dx 2. S(sec(4x) – 1)? dx dx…

A: LetI=∫3x1+3x2dxTake the constant out:  ∫a·fxdx=a·∫fxI=3·∫x1+3x2dxPut…

Q: d²y Find the second derivative, dx2 a. x = t² + 1 and y = t³ t2 b. x = 2 · + 2 and y = sin(t + 1)

A: This question can be solved using the concept of second order derivative.

Q: Solve e2x + 7ex+6=0 Show every step.

A: Here we have to solve the given problem.

Q: Find the smallest value of x for which the series Σ (x+101)" 2ln(n) n=2 is conditionally convergent.

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Q: Find əw/ar and aw/as when r = n and s = 0 if w = sin(2x – y), x = r + sin s, y = rs.

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Q: 1-

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Q: Jan paid Php 9,250 on a loan made 6 months before at 12% simple interest. Find the interest…

A: Amount Paid after 6 months= 9250 rate of interest=12%=0.12 Recall: Amount after time t years…

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Q: Find a formula for the nth term of the sequence (choose one of 2) The sequence 2,6,10,14,18, ..

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) = 0…

A: Solving

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A: To find linear approximation of given function

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A: Evaluation of the above integration is

Q: t or points for each ase portrait on this page. dx = 2x – 2y – 4 and- = x+ 4y +3 dt dt GURE 6.1.

A: Given

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A: Let's find.

Q: 8- Prove that lim,. -7 (5x – 32) = 3 using the formal definition of the limit. (choose e and 6 )

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