Pydx + x(2 + x²y) dy = 0

Q: Given the function f(x) = -xr* – 4x determine its critical points and classify them, determine the…

A:

Q: Differentiate the function. t(t² + 1)4 g(t) = In V8t – 1 - g'(t) =

A:

Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: topic- limits

Q: If va + Vỹ = 12 and y(4) 100, find y' (4) by implicit differentiation.

A:

Q: olve the triangle. 95 a-6 b- 4 Select the correct choice below and, if necessary, fill in the answer…

A: Here is the solution

Q: a). Find the specific solution to the 2nd order non-homogeneous differential equation d²y dy 12y =…

A: a)The given differential equation,d2ydx2-dydx-12y=30x

Q: Sketch the integration region of the following integration aud evaluate the integral (xソー2xり)dy dx…

A:

Q: Evaluate the given Integral 1. ſ csc x (cos2 x - 1)dx

A: Solution is done in step 2

Q: 2 2 y-3y 2+y =1+2x°

A: The solution is given in the next step.

Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: The region is bounded by the curve y=x2+2 from x=0 to x=2

Q: 7. Find the exact x-value where the function f (x) = x +In (7„² – 1) attains a maximum value. An…

A:

Q: Find the indicated derivative and simplify. 2x - 4 y' for y = 2 + 8x %3D

A:

Q: Let C be the cost to produce x batches of widgets, and let Rix) be the revenue in thousands of…

A:

Q: What is the first term of the Maclaurin expansion of y = 8 e -0.5t cos t?

A:

Q: if f'f′ is the derivativeof ff with 2∫1f'(x)dx=10∫12f′(x)dx=10 and f(2)=4,f(2)=4, then f(1)

A:

Q: From the top of a 550-foot cliff, a hiker looks down at a river below. Her angles of depression to…

A:

Q: 12 Consider the graph of the ellipse. which is drawn to scale. This ellipse has an eccentricity of…

A: Given query is to find the equation of the ellipse.

Q: 3) y"+2y'-8y 0, y(0) = 1, y'(0) = 8.

A: Given:y''+2y'-8y=0y(0)=1 y'(0)=8

Q: Write an equation for the polynomial graphed below 5 4 3 1 2 -1 -1 2 3 4 5 -5 -4 -2 - -3 -4 -5 +…

A: topic- polynomials

Q: Describe the long run behavior of f(t) = 5t° – 5t% – 2t + 4 - - As t → 0, f(t) → ? v As t → 0, f(t)…

A: If degree of the polynomial f(x) is odd and leading coefficient is positive , then…

Q: Find the equation of the tangent line to the function f(x) = 4* at x = 3.

A:

Q: 2. The number, N, of bacteria in a culture at time t, in hours, is N(t) = 1000[30 + e a. What is the…

A: Topic:- exponential function  Note:- as per our guideline if more than three subparts posted than…

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (6 e'V5)i+…

A:

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: Use derivative and unit tangent formula for finding it.

Q: Solving bernoulli differential equatioA 27 Xp 2X 2Y

A:

Q: A power representation of the function f(r) = for -1 <a<1 is 1+ %3D

A:

Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

A:

Q: Given the geometric sequence 31, 31/8,31/64 find an explicit formula for an find a7 please show…

A:

Q: x-3 dx r³+9x +9.x

A:

Q: S()ム 3/2 (a²

A: Explanation of the answer is as follows

Q: V1. y=x' +1, the axes, x=3; 0X 1 y =-, , y-axis , y=1 & y =3 ; OY

A: Here we have to find the volume.

Q: 32 Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional (1, 2) and…

A: Given problem:- Suppose that f(x, y) = x3 y2 . The directional derivative of f(x, y) in the…

Q: Write the sum 5 + 15 + 45+ + 1215 using sigma notation. ... a1(1 – r") - Then evaluate the sum using…

A: Solve the following

Q: Σ Preview i=1

A: We will use sigma notation.

Q: Exercise 4. Calculate the convergence set of the following is not enough, a justification is also…

A: Given

Q: Find the area of the region between the curves y = æ and y = Va. Area between curves

A:

Q: 12. Find the maximum and minimum values of each function. Graph each function. а. у %3D е* + 2 b. у…

A:

Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: = - 22k…

A:

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = –3 %3D %3D 3. lim f(x) = -2, 4. lim f(x) =…

A:

Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

A:

Q: 13. Use a polar integral to find the area of the region defined by - Cos 0 KA<T

A:

Q: Find the center and radius of the sphere. 2 2 5x + 5y + 5z + x +y +z = 16 Center = (OOD. radius = 4…

A:

Q: +C, vnere B 1s parallel to the vector (1, 2) C is perpendicular

A:

Q: Related Rates A rock is thrown into a still pond. The circular ripples mové outward from the point…

A:

Q: Classify the statement as either true or false. lim 2 4 X4 Choose the correct answer below. true…

A:

Q: a) Eliminate the parameter to find a (simplified) Cartesian equation for this curve. (b) Sketch the…

A: We have to find a Cartesian equation for this curve and sketch the parametric curve.

Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

A:

Q: dy given the dx Use implicit differentiation to determine equation x? + y² = 4. dy dx

A:

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A:

Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

A: It is a true and false type question. Answer  is false