11. At noon, a car leaves town A on a street road, heading south at 60 km/h, and a plane 4 km above the ground passes over town A heading east at 650 km/h. (a) Express the distance r travelled by the car and the distance s travelled by the plane as functions of time. (b) Express the distance d between the plane and the car in terms of r and s. (c) Express d as a function of time. (d) How far apart were the plane and the car at 1:30PM?

Q: 14. L1+ 2t- 3

A: Given The given expression is  Apply Laplace transform formula.

Q: Simplify (22/3.2*/3)

A: We have to simplify the given expression.

Q: Estimate N if (L, R, d) = (0.5, 0.15, 8) and R is increased from0.15 to 0.17.

A: Given, N=L,R,D=0.5,0.15,8 if R incresed from 0.15 to 0.17 N=0.5, 0.17, 8

Q: 4 2. lim 8 g० ४-०

A: Given,          limv→2v2-4v3-8

Q: 7. Find 1-+- + 2:10 330

A:

Q: 7. Let ƒ(x) = 4x − 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following.

A: Given f(x) = 4x - 3 g( x ) = x2 + 4 h( x ) = x + 5

Q: What is j raise to 6+4j?

A: Find 6+4jj.

Q: 2. 2.

A:

Q: あ。(12イ45 bt-ef e

A: 2x+53ax-53

Q: 3 3. tan ydy

A: Consider the given integral. I=∫π33π4tan8ydy First calculate the integral. I1=∫tan8ydy

Q: 6. 9 > x + 8

A: To solve the given inequality 9>x+8

Q: 2) Use linearization to approximate the value of 7.99 +(7.99)².

A:

Q: Which of the following is equal to C(300,40)

A: We can make it easier for you.

Q: 1 Select one: а. x - 1 1 1 In 2 x2 b. 1 2 In C. 4 In X 2 x2 d. In X 2 + C 2 x2

A:

Q: 4.25a - 7.5a + 5 + 3.2a

A:

Q: 8 Evaluate for (3x² -7x+4

A: We have to use the concept of derivatives

Q: 6. (2m²n)* 1 Show Your Work

A:

Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: Let A = 2 0 and 1 -1 2 3. find A+(28)"

A: Given that A= 1201-12        and B=2-11103 find A+2BT

Q: - |xVx +1 dx

A:

Q: Enter the value of L- 1.27].

A: Floor value of x  is given as the greatest integer that is less than or equal to x

Q: 7 (x+1)2 dx а. 11 x 2

A: Use the substitution method, to simplify the integral ∫x+172x112dx.…

Q: 3 (=-2)* 2. Show that - = 00,

A:

Q: 97 45. -x³dx +

A:

Q: 1 er +1

A: To determine:

Q: Simplify. [21 -28] 70 -35

A:

Q: 8 n (-2) n 3231 7zZ

A:

Q: 8 dp- 12 x" -1 Evaluate

A:

Q: x3 f) x2+2x+1

A:

Q: 18.

A:

Q: Consider the following. y 10r (4, 9) 8 (0,7)

A: (a). Obtain the least squares equation: Given data represents the graph for the dependent variable…

Q: -4 (70 -1 1 7

A: Given,          70-1-417

Q: 2 x -dx 6. Jo 1-x

A:

Q: -3(r-4) 2 0

A: To plot the values of 'r' satisfies for,  -3(r - 4) ≥ 0 => the product is always greater that…

Q: 5a2 – 14.x + 6 d.x 13.) x3 -3x2

A:

Q: .72+40

A:

Q: (– 13 is undefined. 3 Explain why

A: We will have to use the formula  With n=-13 and r=3