Enter an expression equivalent to (3w°+2y' - 3x) + (2r' + y' - 20) - (w'+ 3y'+ x) using the fewest number of possible terms.

Q: 2. A girl of height 120 cm is walking toward a light on the ground at a speed of 0.6 m/s. Her shadow…

A: Given,            A girl of height 120 cm is walking towards a light on the ground at a speed…

Q: dY 6. dt 2 -1 Y 4

A:

Q: Two capacitors with capacitance of 6 μF and 4 μF are connected in series across a 100 V dc source.…

A: Question- Two capacitors with capacitance of 6 μF and   4 μF are connected in series across a 100 V…

Q: (5) Evaluate the definite intergral [/³ (sec²x+3x)dx. /3

A:

Q: dz. 2ª + 9 tegrate

A: The integration of the integral x/√(x4+9).

Q: Suppose that 2J of work are needed to stretch a spring from its natural length to a length 1m beyond…

A:

Q: Solve by Chain Rule (V3x² + In(5X*)) y = tan

A: To differentiate the given function using chain rule.y=tan3x23+ln5x4

Q: the metrod of variation of parameters to Apply Solve my = Secnn dx2

A:

Q: Express in exact form: In(x² + 1)dx

A:

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

A: We have given that in the basketball game ,the ball travels the path given by y=2.15+2.09x-0.41x2…

Q: 6. Solve (cotx - 1)(2cosx + 1) = 0 where 0° sxs 360°. Show your work. %3D

A:

Q: Suppose that 2 J of work is needed to stretch a spring fromits natural length of 30 cm to a length…

A:

Q: Solve using variation OF patometert O reductian OF order CD-+)y= secx csc x csc X

A:

Q: A particle moves in a straight line such that its acceleration when at position x (with respect to a…

A:

Q: satisfies thé équation:y + 13y - Show that y=e Sin 3x

A: Topic = Derivative

Q: dN + N = Ntet+2 dt

A:

Q: A barge takes 3 hours to move (at a constant rate) downstream for 21 miles, helped by a current of 2…

A: To solve the following problem

Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to s = 112t -…

A:

Q: An ant is standing at the point (1,1,3) on the surface of a bowl with equationz=x^2+…

A:

Q: A 20 kg wagon moving at a speed of 0.5 m/s towards right collides with a 35 kg wagon which is at…

A: Solution:

Q: If UX = 6 and XY = 6 solve for UV. Round to the nearest %3D %3D hundredth. Y

A:

Q: Two cars are moving towards an intersection. One car is 190 meters north of the intersection and…

A: dydt=-18 ms (moving towards intersection)dxdt = 19 ms (moving away from intersection)initially at…

Q: Solve the equation in the attached image:

A: Given:

Q: Two trains travel toward each other from points which are 195 miles apart.They travel at rate of 25…

A:

Q: 1-E-, find x, y from エ+y 4. 3 3.

A: given two matrices are equal. that means, Both matrices have same order, and the corresponding…

Q: 2. y" + 2y' + y = e-* In x

A: General solution of non homogeneous differential equation is sum of complementary part and…

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

A: we know the work needed to stretch the spring W=12kx2 where x is the elongation. x=xf-xi=45-30=15…

Q: A kite is 30 meters above the ground and is moving in a path away from the control reel parallel to…

A: Draw the diagram by using the given information. By using the Pythagorean theorem, x2+y2=z2…

Q: I need to integrate 1/(sqrt(a^2+x^2)). If I let t=x+sqrt(x^2+a^2) where t>0, then how do I…

A: The given integral is,

Q: Y2-1 dy

A: Follow the procedure given below.

Q: A river 100 ft wide is flowing north at w feet per second. A dog starts at (100, 0) and swims at vo…

A:

Q: Find 2. dy of 2.

A:

Q: Two people on bikes are at the same place and start riding in different directions. One of the…

A: Form a triangle as below

Q: (1-) ex, 4. S ex 2dx

A:

Q: Solve MXVN at (1,1-1) When M = (2yz)i – (x²y)j + (xz²)k and N = 2x²yz³ Show the graph after it.

A:

Q: f(x) = x - e-x?

A: Use bisection method to find a root.

Q: Solve the nonhomogeneous ODE by variation of parameters. ODE: y" + 4y = cosh 2x

A:

Q: S sin4xVcos4x + 1dx

A: Let u=cos(4x)+1 Then du=(cos(4x)+1)′dx=−4sin(4x)dx  and we have that sin(4x)dx=−du4

Q: Express he equation n" = 4y in poar corinaes.

A: Given equation x2=4y

Q: -solve by exact (Differeneial Eauanian (8--メう)+ス dy tメ- Xy よx 二0

A: ''Since you have asked multiple questions in a single request, According to guidelines we will be…

Q: what is the maximum value of y=sinx, 0 less than or equal to x less than or equal to 2pie, and…

A: Given function  y = sinx on  0≤x≤2π

Q: 4. Find derivatice y 4=In (x 3-4x²+1)

A:

Q: Integrate by parts S xsin2xdx.

A:

Q: Find the general solution to the DE using the method of Variation of Parameters: у" — Зу" + Зу' — у…

A: The solution is given as

Q: Express the first four cumulants in terms of central moments.

A:

Q: A Ball is thrown Vertically into the air at 120 m/s ,after 3 secanother ball is thrown.what initial…

A:

Q: Two taxicabs left the company's garage and traveled in opposite directions. One taxi leaves at 6 am…

A: Let at time t hours after 6 am they will be 225 km apart. Since one taxi's average speed is 60 kph…

Q: A body is projected vertically upward such that is height from the ground in feet is h = 50t –…

A: Given, height from the ground in feet is h = 50t – 16.1t2 where t = time in flight in seconds The…

Q: Two cars are traveling along a straight-line in the same direction, the lead car at 25.0 m/s and the…

A: Consider the given: Initial Speed of the lead car (uL)=25.0 m/sFinal Speed of the lead car (vL)=0…

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.