-mperature of a northern city from 6 a.m. to 6 p.r 2.3 (in degrees Celsius) and x is the number of hours Expressions would give the average temperature c .m. (x = 9)? dx x) dx C

Q: h(x) h'(-6)= = f(x) g(x) based

A: Given;  h(x)=f(x)/g(x).

Q: Determine the x - y coordinates of the points where the parametric equation x = 3 sint y = 3 cost 0≤…

A:

Q: tid Q3. Evaluate the following integrals 1) cothx.csch2x. dx (50-3x - √x+1+73 44x

A:

Q: The points A(3, 0, 1), B(2, 0, 2) and C(3, 1, k) form a triang area Determine the value(s) of k for…

A:

Q: The function f(x) = 7 1+9x² f(x) = Σ cnan. n=0 Find the first few coefficients in the power corios…

A:

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

A:

Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²+2c₂e³x Oy=e+c₁e³x +…

A:

Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

A: We need to choose correct option.

Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

A:

Q: Let A(z) = f(t)dt, with f(x) shown in the graph below. N -2- At what x values does A(x) have a local…

A: Ax=∫0xftdt, with f(x) shown in the graph.

Q: Suppose f(x) = n=0 To determine 0.00000675 [ƒ(2) dz f(x) 6.9 - (x - 7)" 7 S f(x) dx to within…

A: Solution

Q: Consider the second order differential equation with initial conditions u" - 4.5u' - 5.5u = -4…

A: The given equation is u" - 4.5u' - 5.5u = - 4sin(3t)

Q: Find the volume bounded by the cylinder z=y², y=x² and the planes z=0, y=4.

A:

Q: Let F(x) = x √ √2+1 dt. Find F"(1) 3

A: Given: F(x)=∫3x t2+1dt Leibniz integral rule for differentiation states that ddx∫a(x)b(x)…

Q: In how many ways can 8 campers sit around a campfire? 5,040 5,760 40,320

A: No of ways n people can sit around a circle = (n-1) !

Q: Determine the following limit at infinity. lim f(x) X→∞ 9(x) if f(x)→700,000 and g(x)→∞o as x→∞ Find…

A:

Q: 4. Find the slope of the tangent to y = sin² (2x) at x = 12

A:

Q: (b) Prove that the improper integral ]] converges. dr dy (1 + x² + y²)³/2

A: Given problem:-

Q: Find the average value gave of the function g on the given interval. TU TU g(x) = 6 cos(x), 2 2 gave…

A: We will find the average value of function as shown below

Q: P3: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x²-y-2 = 0…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 1.97 as follows: Let f(x) = x7. Find…

A: Given, y=f(x)= x⁷ Slope of the tangent is given by , f'(x)=d(x⁷)/dx f'(x)= 7x⁶

Q: The weekly cost of producing x key chains is given by the function C(x) = 1800 + 33x + 0.15x2. Find…

A: marginal average cost

Q: 2 problem: it | b₂ b3 2 LG C₂ Cz 201-2 b b 2 46 40 2 5 - 203 bz 3 403

A:

Q: Integrate (three) of th 1) f sin6x cos3x dx 4) [x² (1+¹)4 dx

A:

Q: 2. Evaluate r sin rdr using integration by parts.

A:

Q: 2 OM a) Find the area of the region b) Find the length of the curve c) Find the surface area generat…

A: A detailed solution is given below.

Q: A parallelogram has an area of 200 cm². The side lengths are 90 cm and 30 cm. Find the measures of…

A:

Q: 5. 6. (log4(x²) dx x (log4 x)² ORA dx

A: We have to evaluate integral

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

A:

Q: Sketch the region enclosed by y = 3x and y = 52. Find the area of the region.

A: Given that y=3x and y=5x2 find bounded area.     Here i attached the solution of this question.

Q: Question 13 d²2 Which of the following satisfies the differential equation dx² A. y = e³x B.y = e-3x…

A: We need to choose correct option.

Q: 8. 9. 10. Given f(x) = cos(3x + π), find ƒ'(π) a) 0 b) -1 c) -3 If f(x) = √ex, the derivative is: a)…

A:

Q: 4. ABP is a triangle, M is a point on AP. AB = a, AM = 26, and MP = 6. N is the midpoint of BP. C is…

A: We have to find PB→ and prove that M,N and C lie on the same line.

Q: Question Given the function f(x) = 4x² + 6, find the value of c such that f(c) equals the average…

A: Given function is f(x) = 4x2 + 6

Q: Differentiate and simplify this function k (t) = e√t^2+t+1 - e-√t^2+t+1

A:

Q: Differentiate and simplify this function f (x) = x2/3 sin(x)

A: We have to find the derivative

Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. √3x²+4-4 (a) lim x-2x²…

A: a) limx→23x2+4-4x2-x-2b) limx→326x2-11x+38x3-27

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: Suppose N=N(t)=The number of bacteria at time t Where t is time in hours since 12:00 noon

Q: 4. A population of squirrels is currently measured to be 500 squirrels a. Write a function P(t) to…

A:

Q: II. Solve the following Linear differential equations of order one.  2.)    хdy + (у — ху + 2)dx

A:

Q: The height y (in feet) of a ball thrown by a child is 1 y = -x² + 4x + 3 14 where is the horizontal…

A: Solution is here

Q: Evaluate tan |2x| dx F

A: The given definite integral,    ∫-π8π6tan2xdx

Q: Set up the integral to find the area of M, using horizontal rectangle. Let M be the region bounded…

A: In this question , we can set up the integral to find the area of M .

Q: @ y = x tan 2x

A:

Q: Evaluate the following integrals: 1. f(cos x + csc² x)dx 2. f(tan x + sec² x) dx 3. (1+sec² x) dx…

A:

Q: Determine the average rate of change of the function on the given interval.  f(x)= 3x2-4 on [1,2]

A:

Q: find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = (4t − 1)3 ℒ{f(t)} =

A:

Q: Which vector is not orthogonal to ū=? a. C. b. d.

A:

Q: [u udv-uv- - [vdu to Explain why the substitutions below are inappropriate. Let dv =x dx 1. Suppose…

A: This questions uses ILATE  rule

Q: Differentiate the function. 5 y = 6e* √ Read It Need Help? Watch It Master It

A: