a) Determine whether the following differential equation is a type of linear equation or not, i. Sxy'y' = xy' + 3xy² dy + 4y = 12xy de ii. dy iii. y- +3x = 5y dx

Q: x dx 13. S (6х-x2-5)2

A:

Q: Can someone draw a graph and draw arrows in the directions pointing towards positive and negative…

A:

Q: Using a model of the prototype ball thrower, a ball is fired into the air with an initial upward…

A: Given that height of the ballht=-16t2+48t+41.if balls reaches maximum height then…

Q: If f is defined at x = a, then | f(x)dx is equal to O 1 O a O-a

A:

Q: 3. Determine the exact value of x given the following information. a) a = 2,r = 3, t, = x b) a =…

A:

Q: The linear differential equation x*dy+ (2y – 3x² y– x³ \dx = 0 has the integrating factor equal .…

A:

Q: Compute the area enclosed by the curves. You must show your work. 1 y = x, y = x³, X=- 2 312

A:

Q: Two corridors each 3 m wide intersect at 90 degrees. A ladder is being carried horizontally along…

A:

Q: 2. In each part, match the contour plot with one of the surfaces in the accompanying figure by…

A:

Q: Evaluate r(3+2r + r²) Find the limiting values of: 3x2 + 5x – 4 5x² – x + 7. x² + 5x – 4 Зх + 1 -…

A: 1. ∑r=18r3+2r+r22.a) 3x2+5x-45x2-x+7b) x2+5x-42x2-3x+1

Q: Determine the general equation of the plane 2 passing through the point P(1, -4, –5) and parallel to…

A: Given problem:- Determine the general equation of the plane π passing through the point P(1, -4,-5)…

Q: Based on the figure below, how many regions are involved? * x(t) h(t) -2 -1 1 2 3 4 None of the…

A: This is a problem related to number of regions in the sense number of interval for the given graph.…

Q: 5. Use differentials to find the approximate value of [(5. 99)² + (8. 03)²+ (4. 98)]' decimal…

A:

Q: In a binary integer programming model, which of the following constraints is needed if for the…

A: Solution of the problem as follows

Q: Use the derivative to find the exact critical points and intervals of increase and decrease for f(x)…

A: 1. Local maximums and local minimum values2. fx=4x3-21x2-24x+5

Q: 1. Linear equation of order one: dy-(r-2ydx=0

A:

Q: eight The height of a building is 170 feet. Find the angle of elevation (in degrees) to the top of…

A: Use trigonometric ratio to solve

Q: Draw the graphs of the given functions. Find their points of intersection. Find the area bounded by…

A: Given curvesy = 4x2y = x2+3

Q: Write the equation of a sine or cosine function to describe the graph. `y 4+ 3+ 2- 87 10n | -1 3 3 3

A:

Q: Find the critical points of the function 11/4 16 3/4 f() = 33 Use a comma to separate multiple…

A:

Q: 0.5 -5 -4 -2 1 -0.5 -1 -1.5 -2 Find the following limits, if they exist. 9. lim f(x) x-2- 10. lim…

A:

Q: 16-2 Evaluate: lim +4 V12+-a dne O 2 12 3 14

A:

Q: Let a = ci +j and b = 9i + 12j. Find c so that the angle between a and b is %3D Round your answers…

A:

Q: (2) Find the full Fourier series for the periodic function ƒ : R → R defined by ƒ(x) = 1+ |æ| on the…

A: the fourier series expansion is as follow

Q: (x+6)dx (x+2)*

A:

Q: Two airplanes leave an airport at the same time. An hour later, the planes are 229 km apart. If one…

A:

Q: An open rectangular box has an area of 441 cm2. If its length must be 3 times its width, find its…

A:

Q: The 3rd term of an arithmetic series is 34 and the 17th term is -8. Find the sum of the first 20…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an = 8^(n +…

A: The given sequence,    an=8(n+2)9n

Q: . The linear differential equation dx 2 has the integrating factor equal to_ (Note: Simplify or…

A:

Q: Evaluate the definite integral. e i+ e*j+tk dt O e - i - (e- - 1) j + k 7 2 O el – 1 i+ (e - 1) j +…

A:

Q: Let f(x) = In(x") in the interval [1,9]. Determine the value(s) of 'c' that satisfy the Mean Value…

A:

Q: A line is tangent to y = x - 2 at (2,6). What is the coefficient of x when the line is in the form…

A: Given curve y=x3-2    ;   (2,6)

Q: х ах 13. S- (6х-x2-5)2 3

A:

Q: Write the equation of a sine or cosine function to describe the graph. y 4- 3+ 2- 2n 10n -1 3 -2 -3

A: The equation of a sinusoidal wave is given by:y=p(sin(q(x+r))+dwhere p=amplitude, q=2πperiod,…

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

A: We know, d/dt (r1(t).r2(t))= r1(t).dr2(t)/dt + r2(t).dr1(t)/dt

Q: particle is moving with the given data. Find the position of the particle. a(t)= 2t+3 , s(0)=4 ,…

A: Given query is to find the position function.

Q: Find all values of x where tangent lines to y = x° and y = x' are parallel. (Give your answer in the…

A:

Q: The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the first 20…

A: As we know that n-th term of an arithmetic series is    a+n-1d, where a = 1st term and d= difference…

Q: 15. What is the general solution of the exact differential equation (x + siny – cosy)dx + x(siny +…

A:

Q: 4. Evaluate: lim (x,y)→(3,2) x cOS TY

A: To evaluate the limit of the given function, substitute x=3 and y=2  in the given function.

Q: 1 0.5 -5 -4 -3 -2 1 2 f -0.차 -1 -1.5 -2 5. Is the function continuous at x = -3? 6. Is the function…

A: topic - continuity of a function

Q: S Le+6)dx (x+2)*

A:

Q: 1) Verify that the function f(r) = r - 3x + 2 satisfies the hypotheses of the Mean Value Theorem on…

A:

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: Two motor vehicles, BMW and Ducati, are driving at SLEX southbound lane. At 9:00:00 am they are 100…

A: (1) speed ofducati and BMW at 9:00 =100 KMPH…

Q: Consider a triangle ABC like the one below. Suppose that a=32, b=31, and c= 18. (The figure is not…

A: The given question can be solved as shown in step2.

Q: x² – 25 The antiderivative of - dx is / x2 – 25 – sec-lx+ C.

A: Given,            The antiderivative of ∫x2-25xdx is x2-25-sec-1x+C.To find : To check the…

Q: The context you find yourself in is that you have been given 24 meters of fencing material. You must…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 2) Verify that the function f(r) = In r satisfies the hypotheses of the Mean Value Theorem on the…

A: