1. Find the general solution of the system with the following equations. lip = -9x + 5y dt dr = 2x – 2y and dt

Q: Pdz 214

A:

Q: Current Attempt in Progress Let a = ci + j and b = 8i + 24j. Find c so that a and b are orthogonal.…

A: for orthogonal of vector dot product of vector is 0 a*b=0 (ci+j)(8i+24j) = 0 8c +24 = 0 8c =-24 c…

Q: Evaluate the line integral. 17y dx + 16z dy +xdz, r(t) = (2+r',2,P) for 0 <t<1 (Give an exact…

A:

Q: Q2. 4. Given vectors P= 4i - 2j 5k: Q = -i+ 3j - 6k: find PxQ. Select one: O a. -3i + 19j - 1ok O b.…

A:

Q: (cos 12t – cos 3t) dt 2 sin7t sin4t dt= A True (B) False

A: This question is based on indefinite integral and Trigonometric equation.

Q: Given f″(x)=−36sin(6x)f″(x)=−36sin⁡(6x) and f′(0)=−6f′(0)=−6 and f(0)=2f(0)=2. Find f(π/5)

A: f''(x)=-36 sin(6x)f'(x)=∫-36 sin(6x) dxf'(x)=-36 -cos(6x)6+Cf'(x)=6cos(6x)+Cf'(0)=-6-6=6 cos(0)…

Q: Evaluate the double integral using polar coordinates. R is the region in the first quadrant bounded…

A:

Q: 9) Find the point on the line y = 3x - 4 that is closest to (2, 1).

A:

Q: s at every number in its domain. 2x+1, f(x) = if x 5

A: Given : f(x)=2x+1      if x≤3ax+b     if 3&lt;x&lt;5x2+2     if x≥5      To Find : Value of a and b…

Q: Find the directional derivative of the function at the point in the direction of the unit vector. 3…

A:

Q: Find dz/dr if z as a two variables function in r and y is defined implicitly by y3 + x22 + r sin r…

A:

Q: Find the derivative of y = x²( - %3D x2+1

A:

Q: Linear equation of order one: dy-(x' – 2.xy kdx = 0

A:

Q: Find the area of the shaded region Blank 1 Note: Enter exact answer ... x = Y 20 1000 y? 20 Blank 1…

A: Find your answer below

Q: a) Determine whether the following differential equation is a type of linear equation or not, i.…

A:

Q: Find the derivative of the following functions and simply it whenever possible. 7. y = (xe)x

A:

Q: Given that f(x) = z"h(z) h( – 1) = 2 h'(– 1) = 5 Calculate f'(- 1).

A:

Q: Let F be a commutative ring with identity and let f (x) E F[x] be a polynomial of degree 4. Which of…

A:

Q: sin (20) 2 J 1+ sin² (0)

A:

Q: S x+yーz d.dy da ェ 64 10 10

A: Given triple integral ∫02∫04-x2∫ 0x+y x+y-z  dz dy dx

Q: The The Mean-Value Theorem guarantees there is at least one value of c on [-3, 3] such that f' (c) =…

A:

Q: Find the vector component of v Enter the exact answers. (4, – 1, 7) along b = (2, 3, -6) and the…

A:

Q: (x³ + 4, if x 2] Consider the function f(x) = Find the value of D such that f(x) is continuous at x…

A:

Q: Conics Find the equation of a parabola that has focus at (-4,0)and directrix x

A:

Q: 2. The linear differential equation x*dy+(2y– 3x²y-x' \dx = 0 has the integrating factor equal to…

A:

Q: II. Solve the following problems completely. 1. Linear equation of order one: dy-(r - 2xy kdx = 0

A:

Q: (2x² + 5, if x 5 Consider the function h(x) = Find the value of B such that h(x) is continuous at x…

A:

Q: 2 y 本 -4

A:

Q: (n!)2 (x-2)2 is equal to The radius of convergence of the series .... .... n=1 3" (2n)!

A:

Q: A projectile is fired vertically upward with an initial velocity of 64 ft/s from an initial height…

A:

Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

A:

Q: Given the power series (x + 4)" n =0 n! Find the "Interval of Convergence" for the series. - 22 - 18…

A:

Q: Use the Theorem of Pythagoras to find the length of the line segment y = 3xfrom (1,3) to (2,6), and…

A:

Q: 8 Evaluate r(3 + 2r + r²) Find the limiting values of: 3x2 + 5x – 4 5x² – x +7 x2 + 5x – 4 2x2 – 3x…

A: We know that ∑r=1nr = n (n+1)2 ∑r=1nr2 = n (n+1) (2n+1)6 ∑r=1nr3 = n (n+1)22

Q: Let Ā = (1,3, –2) and B = (–1,-2,3,). Find the following. 1. The cosine of the angle between 3Ã + B…

A:

Q: List all angles (in radian measure) between 0<x<47 2 sin(x) + 1= 0 such that

A:

Q: What is the formula for integrating sin 46 cos 20d0 ? (sin 60 + sin 20) do O S(cos 60 – cos 20) do -…

A:

Q: Find an equation of the plane that is parallel to the plane x + 2y – 7z + 15 = 0 and contains the…

A: A detailed solution is given below.

Q: Evaluate the definite integral by choosing the appropriate substitution. You must show your work. 8T…

A:

Q: If the function f(x) below is continuous at x = 0, find the value of a 1- cos(4x) x 0 l/16+ vx) –…

A:

Q: 2. [sin? x cos' x dx 4. [ cos’ 0 d0

A:

Q: Consider the following function. f(x) = 3 − |x − 2| (a) Find the critical numbers of f. (Enter your…

A: The given series is: f(x)=3-|x-2|      =3-(x-2); x≥23-(-(x-2));x&lt;2      =3-x+2; x≥23+x-2,x&lt;2…

Q: 8xー3x+x dx

A:

Q: 10. [ tan 0 d0

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

Q: Find the derivative of the following functions and simply it whenever possible. 1. y = 34x

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. (100,² + 1) – 352 10 ti + t*j dt

A:

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

A:

Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

A:

Q: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x from the parametric…

A:

Q: Find the area of the parallelogram that has u = 2i – 2j +k and v = j+ 3k as adjacent sides. NOTE:…

A: