ū = (-/3, –1) and w = (1, /3) E. |

Q: SOLVE THE FIRST ORDER DE. (x² – 3bxy + 2b²y²)(xdx + ydy) = xdy – ydx

A: Given differential equation is (x2-3bxy+2b2y2)(xdx+ydy)=xdy-ydx

Q: 2 2 -x+2x- 2, x>0

A:

Q: Performance Task *Limits of Transcendental Functions Complete the table of values to evaluate lim t-...

A: Since you have asked multiple question As per our policy, we will solve the first question for you. ...

Q: V(x) = In(sin(x) – cot(x))

A: Use the formula of derivative of composition of functions

Q: Draw the graph of the following functions and give the domain and range of each.

A:

Q: The following statements are true EXCEPT A. lim x →2 x²=4 B. lim  x →-2 x=-2 C. lim x →-2 x³=8 D...

A:

Q: sketch a graph of the function f(x)=2|x-4|-2

A: We can sketch the graph of the function by taking necessary points as below.

Q: Let f(x) = x³. (a) Estimate the values of f (0), f f '(2), f '(3), and f '(4) by using a graphing de...

A:

Q: Two people run for 13 seconds with velocity functions vi = a m/s for person A and vz = 3/Tm/s for pe...

A: Topic = Algebra

Q: dx 3.

A:

Q: 8. Sum of the products of a constant and a variable: Ecx, = cx, +cx2 +...+cx, i=1 = c(x1 +x2 +...+x,...

A:

Q: Solve the following ordinary differential equation using the method of variation of parameter. e2t y...

A:

Q: Vx+3 4. f(x) = f'(1) x-4

A: The given function is: f(x)=x+3x-4

Q: 2. Find the cartesian equation of the following: а. r = 3-sin e b. r? cos(20) = 4 9. r2 C. 4 sin(26)

A:

Q: Solve the first order differential equation. (3x - y - 4)dy - (x + y - 4)dx = 0

A:

Q: Sove the differential equations (2y- 2x + X 1+ x²yz

A: Check given differential equation is exact or not. i.e.    My = Nx

Q: Write as a decimal. (Type a decimal.)

A:

Q: What is the derivative of the following function

A: Given that: 1. h(y)=y1-ey2. f(t)=1+5tln(t)

Q: Forms of Summation Notation 6. Square of the sum of variables: Ex; =(x, +x, +...+x,)? Example Evalua...

A:

Q: State the property presented 10 + (4 + 11) = 10 + (11 + 4) a. commutative property b. associative...

A: Here is given that  10+(4+11)=10+(11+4)

Q: Use linear approximation, i.e. the tangent line, to approximate v81.1 as follows: Let f(x) = Vx. Fin...

A:

Q: Find the volume of the solid generated by rotating the region bounded by y = sin°(x) and y = 0 betwe...

A:

Q: Solving by variation of parameters 4y" 4y'- 8y 8e-*, we find that: O u_1=(-2/9) e^(-3x)and u_2=-(2/3...

A: Auxiliary equation and variations parameters

Q: What is the derivative of the following function?

A:

Q: п+3 а. Zn=1 2n-1.

A:

Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx = dxtan-1(7x)dx-114d(ln(...

Q: 1. Find the resultant of the vectors A and B. A = 8a, + 7a, + 2a, В - - За, — 8а, - ба, Draw the vec...

A: Given that: A→=8ax+7ay+2azB→=-3ax-8ay-6az

Q: 18. A researcher plans to conduct a survey about drink preference of BSMath students of ABC Uni- ver...

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = arcsec 4x ...

A:

Q: 2. (D2 + 3D)y = -18x; y = 0, Dy 5 when x

A:

Q: Set f(x)= e=x². (a) What is the symmetry of the graph? (b) On what intervals does the function incre...

A: Given : f(x) = e-x²

Q: 3x°+x*+2x³+3x²+18 f(x)= x2-24 Solve for the lim f (x) Using the following methods: x→5 a. Table of v...

A: solution given below

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, ...

A:

Q: C 1000 A В

A: We know that sum of angles of triangle  <A+<B+<C=180°  <A+27°+94°=180°  <A+121°=180° ...

Q: 6. f(x) = V7x + 6; f'(3)

A:

Q: Perform the indicated operation. If possible, reduce the answer to its lowest terms. 2 15 4 2 15 (Si...

A:

Q: xª + x³ + x² – x + 1 2 x(x² + 1)²

A: Here we have to find the partial fraction decomposition of the given fraction.

Q: Solve the equation on the interval 0s0<2x. cos (30) = 1 What are the solutions to cos (30) = 1 in th...

A:

Q: Evaluate the integral. 1/2 3 sin 2nx dx 2.3 16 16 3 8

A:

Q: Given the differential equation y"' + 7y" + 6y' = 10x sin(4x) Find the Differential Operator for the...

A: Topic = Differential equation

Q: a. Y= x* + 1 а. a²x b. Y = a²+x?

A: Follow the procedure given below.

Q: For the function, find the following. X + 1 2x (a) f"(x) 242 (b) f"(3) = 2/3 ||

A:

Q: Find the values of m and b that make f continuous everywhere: 42 +a – a2 I+ 6 if x 3 When showing y...

A: Follow the procedure given below.

Q: Forms of Summation Notation 5. Sum of the squares of the variables: Ex = x,² +x,' +..+x,² i=1 Exampl...

A:

Q: Evaluate the expression using the order of operations. (22 - 9+ 3) - (42+3•5) (22 -9 + 3) - (42 +3•5...

A: We know that BODMASThat is Bracket-Division-Multiplication-Addition-Subtraction.Given (22-9÷3)-(42÷3...

Q: Evaluate the integral. dx x In x6 O !In(lIn x) + C O In x6+ C O tin xé + C O In(In x) + C

A: Solve the integration by substitution method

Q: Evaluate the integral. s'a In óx dx 219.01 190.21 187.01 O -61.21

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: Evaluate the integral. ( Vx? + 2xdx

A:

Q: Let a be a positive constant. (a) Find a formula for the nth derivative of f(x) = eax. (b) Find a fo...

A: We have to find nth derivative.