Solve the differential equation for general solution dy = - dx V y = 14x + C O y = /14x + C, or y = -/14x + C O y = 7x + C, or y = -7x + C y = /14x + C |I

Q: sečxdx ztanx 5-9tarix ansi sin 2

A: Solution is done in step 2

Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 5xyz k. V x (V × F)

A:

Q: Use series to evaluate lim 3x(e -2/x - 1). lim 3x (e -2/* - 1) -O X00 (Simplify your answer.)

A: We can use series to find the limit as below.

Q: Find the area bounded by the graphs of the indicated equations over the given interval.   y=−4x+12​;…

A: Given query is to find the are of the region.

Q: f (x) = x² + 1

A: Given :

Q: Use double integration to find the volume of the solid bounded by the cylinder x² + y? = 16 and the…

A:

Q: Question 15 The price per barrel of crude oil can be approximated by the function, P(t) = 0.45t? -…

A: We have to find the average rate of change of function.

Q: sin e = If and 0 in the first quadrant, find Cos 20

A: A detailed solution is given below.

Q: Solve the following differential equations of e • dx+2(xe" – y)dy = 0;

A:

Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum of…

A:

Q: Question 7 Use cylindrical shells to find the volume of the solid generated when the region enclosed…

A:

Q: Determine whether the improper integral diverges or converges. 0. -5x хе dx

A:

Q: 13. 1²V2 - 1 dr

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Question 30 Find the curvature k and radius of curvature R for the curve at the given point. y = cos…

A:

Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: Sum of two numbers =  25 Difference of two numbers = 7

Q: If f(x) cos-(2x+5) then dom(f) = %3D a+3 (A) (-3, –2) (B) [-3, –2] (C) (-3, –2] | (D) (-1,1) (E)…

A: Given query is to find the domain of the function.

Q: tanx dx I+x?

A:

Q: 5. Given the General Solution the DE, Identify the roots * y = C1e¬2x + C2cos2x + C3sin2x O A) m1=…

A: Here, the solution to the DE is: y=C1e-2x+C2cos 2x+C3sin 2x...(1)

Q: 25. z arctan r dr dr 26. Jo (z – 1)² 27. e sin z dr

A: A detailed solution is given below.

Q: Question 9 Solve the problem. Find the volume of the region enclosed by the sphere x2 + y2+ z2 = 100…

A:

Q: Given u = ( 5, -3, 8) and v (k, 2, 4) calculate k, by using only vector | = 2 7| concepts, where…

A: Topic = Vector

Q: lEvaluate the integral ×+ス de . x²+2x linlx?Cx+z)e X+2 (x+2)²|&7C Dinlx (x+2)I +c E) Inl x て) 12

A: Topic = Integration

Q: Evaluate each integral. dr 1. VI² – 1 2. [zcos I Cos az dz 7x +1 dr 2-- 2 3. 7 – I – z

A:

Q: Solve the differential equation Integrating Factor by Inspection: (2y – 3x)dx + xdy = 0

A:

Q: V10x – 7y – 10 Find lim by rewriting the fraction first. 10x - 7y – 100 (x,y)→(10,0) 10x - 7y + 100

A:

Q: Consider the integral cot(0) · In(6 sin(@)) d0: This can be transformed into a basic integral by…

A: We have to find the integral.

Q: 6. Evaluate the indefinite integral as an infinite series. (b) / sin z (a) / r cos(r)dr

A:

Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 25 sin…

A:

Q: Graphs of Logarithmic Functions Formulas for the Graphs 5- a. f(x) = – log,(z) 4- b. f(æ) = log,(x)…

A:

Q: 4. Suppose that f(2) = 16 and that f'(x) > – 3 for all x in the interval [2,7]. Determine the…

A:

Q: 7. lim vx2 + x + 1 – Vx2 + 1

A:

Q: A) S sin edo b)S sec edo )Side Ssec?eddo E)S cos ede

A: We have to find the integral

Q: Question 15 Find the curvature k and radius of curvature R for the curve at the given point. y = sin…

A: The given curve is y=sin2x we have to find curvature and radius of curvature for the curve at the…

Q: V = f(x, y) = x²y ,x(t) = 2.

A:

Q: Consider the indefinite integral le*+3 dx: a) This can be transformed into a basic integral by…

A: Explanation of the answer is as follows

Q: Find the third degree Taylor polynomial centered at 2 for the function f(x)=e²* + 3.x .

A:

Q: 1. Find the area enclosed by the given curve, the x-axis, and the given ordinates (a) The curve y =…

A:

Q: +2 dx: Consider the indefinite integral a) This can be transformed into a basic integral by letting…

A: The given integral,        ∫e7x+2dx

Q: D) 2/0- D)-2y/C 9) Given a piecewise function below f(x) = (1- x)*n (x>0) , Find lim f(x) =r hpli te…

A:

Q: 2) Use "TELESCOPE technique" to find x which is involved in INFINITE PROCESS. 4 4 4 4 4 4 4 X = 42…

A:

Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas…

A:

Q: Q6 Find dy, if y= +++

A:

Q: 1. 15 dx (x-)2

A: Given problem:-

Q: the in integra a) (x³ + 1)dx

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

Q: Verity Gauss' theorem for the vector feld f (x,y, z)= (y,x,2) on the surface of the sechere with…

A:

Q: Solve the differential equation Integrating Factor by Linear Equation: (xy² + x²)dy + xydx = 0 %3D

A:

Q: Evaluate the line integral / (6x + 2y)dx + (x – 7y)dy along the 10 cos t, y in (0 <t: curve C: x =…

A: A detailed solution is given below.

Q: .W (3) Solve the following differential equations of

A:

Q: Solve the following given differential equation  using the method of indeterminate coefficients

A:

Q: Qg Solve: coshx-1 .dx

A: Basic hyperbolic identities are used along with integration identities.