Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0

Q: 13. Recall that nonzero vectors u and are called collinear if there exists = a nonzero scalar a such…

A: Given data:- Nonzero vectors are u→ & v→ Nonzero scalar α v→=αu→

Q: 11. The table of values below shows the rate of oil consumption in gallons per minute at selected…

A: Solution: Approximate the integral ∫012f(x)dx    with the left Riemann sum using the table below:…

Q: 7. Calculate the Present Value of the investment described in the table. Compounding Period Time…

A:

Q: 1. A school auditorium has 32 seats in the first row, 35 seats in the second row, 38 seats in the…

A:

Q: 200N 30° 60° 300N 60° 300N 400N Find the resultant and Ø of the concurrent force system shown

A:

Q: The circumference C of a circle is a function of its radius given by C (r) = 2πr. a. Express the…

A:

Q: (x) Given fx = x² In 9x Differentiating both side wrt x r(x) = (x² In 9x) d dx

A:

Q: 32. ³+x²+x+2 + 1)(x² + 2) dx

A:

Q: Given s(t)=t² + t, find (a) v(t). (c) the velocity and acceleration when t = 4. (b) a(t). (a) v(t) =…

A: Concept: The instantaneous velocity at a given time is the derivative of a function that represents…

Q: x-2 x-2x²+x-6 5. Evaluate: lim

A:

Q: Use integration by parts to evaluate the integral. Round your answer to the nearest tenth. In(z) S²…

A:

Q: Find h(x) and g(x) such that f(x) = (hog)(x). f(x) = √8x+6 Suppose that g(x) = 8x + 6. h(x) =

A:

Q: Given the function g(x) = 6(8x+10)6, find g'(x). g'(x) =

A:

Q: For what value of the constant c is the function f continuous at 6 where if b ≤ 6 Jcb + 9 c(b)² 9 if…

A:

Q: Find a nonzero vector normal to the plane z − 5(x − 1) = −2(3 — y). - -

A:

Q: Find the area of the region enclosed by the curves y = 2 - x² and y = x. (a) (c) 9 2 54 (b) (d) 40 7…

A:

Q: The total arm and blade of a windshield wiper is 15in. long and rotates back and forth through an…

A: Draw a schematic diagram of given figure.

Q: u սյ # P Express numbers in exact form. Use symbolic notation and fractions where needed.) ||U₁v ||…

A:

Q: f(x)= = √16 − x^2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: observing the outside temperature rise. What is the relevant independent variable here? The…

A:

Q: (b) part of parabola y = −2x² from (−1, −2) to (2, —–8)

A: Given Equation of parabola y=-2x2 from -1, -2 to 2, -8.

Q: Complete the description of the piecewise function graphed below. -7 to -5 -4 /-3 { f(x) = { { 6 5 4…

A:

Q: #4 The function E (t) = 4.66459 t4.4054 describes the available capacity (in kilowatt hours = kWh)…

A:

Q: 10. Use the squeeze theorem to find lim f(x) if 2x+2 ≤ f(x) ≤ x² +3. x-1

A: Given: Use the squeeze theorem to find limx→1f(x) if 2x+2≤f(x)≤x2+3

Q: Show that convolution with a given function f commutes with differentiation; that is, show that…

A: I am attaching image so that you understand each and every step.

Q: 10. A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with…

A:

Q: How many of the following relations are functions? ((-1,1), (1, 2), (2, 2), (2,-2)} N-1 5r-6y - 12…

A:

Q: valuate: fe²z cos(e³)dz = + C Hint: Rewrite e² = e.e²

A: Please refer to the image below

Q: Find the following limit. Answer as either an integer or a fraction. (No decimals.) Enter INF for…

A: The limit is given by limx→1x-1x2+7x-8 To evaluate: The value of the limit

Q: average

A:

Q: 2) Consider the function g(x) = 5 + 6x²-5x-1 3x³-4x+1 a) Find the Limit of g(x) as x approaches…

A:

Q: 8. A MODEL ROCKET ACCELERATES AT A RATE OF 4t m/s². HOW HIGH ABOVE THE GROUND WILL IT BE AFTER 10…

A:

Q: Graph the solution of the system of inequalities. x + 2y ≤ 8 3x y ≥ 0 y ≥ 2 X - -

A:

Q: 2. lim f(x) = | x-1 lim f(x) = 1 x1+ lim f(x) = | f(1) = |

A: 2.According to graph limx→1-fx=1limx→1+fx=1limx→1-fx=limx→1+fx=1there fore limx→1fx=1    limit exist…

Q: у 1 0 1 do Ч 6 X

A:

Q: the options are left, up, right, down

A: Here we have to choose the correct option.

Q: Given x and f(x), fill out the rest of the table. X -2 -1 f(x) f(x) - 1-6 f(x - 1)-7 -f(x) 5 f(-x)…

A:

Q: log₂log 1 (x − 6) < 0 2

A: Here we are asked to solve the inequality: log2log12x-6&lt;0

Q: Find a vector n normal to the plane with the equation x+6y + 4z = -10. n= 00> (1₂)

A: Concept: The equation of the plane is written as: ax-x0+b(y-y0)+c(z-z0)=0 or ax+by+cz=d Here the…

Q: For each equation, solve for each variable in terms of the other variables. For example: z = xy: x =…

A: We need to solve for each variable in terms of other variables in the given equations.

Q: Find an equation for the tangent line to the graph of the given function at ( – 5,32). - f(x)=x² +7…

A: Given query is to find equation of the tangent line.

Q: Procedures and Problem Solving Library of Parent Functions In Exercises 5-8, use the graph of the…

A:

Q: tha Guen that U is a universal set.. Contains all whole numbers less than 10 and A and B are subset…

A: Given data:- u is a universal set that contain all whole number less than 10 A &amp; B are subset of…

Q: A cylindrical oil tank 8ft deep holds 380 gallons when filled to capacity. How many gallons remain…

A: We have to find the volume of tank.

Q: C) g'(x) = 3x²; g'(1) = 3 D) g'(x) = 3x2 + 5; g'(1) = 8 mits to find the derivative function f' for…

A:

Q: Let f(x) = 4x² -2 to find the following value. f(t+1) f(t+1) = ...

A:

Q: For each pair of functions f(x) and g(x), find the following. P(x) = x²³² +6; g(x) = = (a) f(g(x))…

A:

Q: 16. Solve the inequality. Write the answer using interval notations. (1 − x²)²³(2 – 3x²) – (2x −…

A: Given inequality:- 1-x2322-3x2-2x-x31-x212-3x1-x23&gt;0

Q: Graphs of f and g are shown. Is f even, odd, or neither? even f odd neither Explain your reasoning.…

A: The function is odd if f(-x) = -f(x). An even function has reflection symmetry about the y-axis. An…

Q: 1. Find the derivative using the Fundamental Theorem of Calculus, Part I, without evaluating the…

A: