Find the differential equation of the family of circles with fixed radius, r=a+b,and tangent to the y-axis.

Q: If h(x) = V5 + 4f(x), where f(1) = 5 and f'(1) = 2, find h'(1). h'(1) =

A:

Q: 1. /* dx x3 + x

A:

Q: tonomous ODE dy %3D dt

A:

Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

A:

Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x = ...

A: follow next step 

Q: Tell if the function is continuous at given interval f(x)=; 2x +4 |-2,2]

A:

Q: Lqsudnhlao203=9m] -03P99E90RO[9U3RM7210 Ud8y(,om 301 29u 3 ***#!12ngwe gggd 982eh c y The function f...

A:

Q: An open box is to be made out of a 9-inch by 19-inch piece of cardboard by cutting out squares of eq...

A: Given: The dimensions of the piece of the cardboard is 9-inch by 19-inch. An open box is made out of...

Q: Question 1 Evaluate the value of the function Y + 22 sin(x) f (x, y, z) = at the point (, 3, 2). T O...

A:

Q: Use the trapezoidal rule withn= 4 to approximate cos(x) dx Keep at least 2 decimal places accuracy i...

A:

Q: David opens a bank account with an initial balance of 500 dollars. Let b(t) be the balance in the ac...

A:

Q: Find the general solution to the differential equation. y' = 2t   t2 + 64 y =

A: Follow the procedure given below.

Q: Graph the line whose y-intercept is -2 and whose x-intercept is 7. -10 -8 6. 10 -10+

A:

Q: If the equation of motion of a particle is given by s = A cos(@t + 8), the particle is said to under...

A:

Q: dx 2. Evaluate f 7+x2

A: To evaluate: 2) I=∫dx7+x2...(1)  

Q: cos (6x4) – 1 Let f(x) Evaluate the 9th derivative of ƒ at x = 0. %| x7 f(9)(0) = Hint: Build a Macl...

A:

Q: The annual world consumption of silver is predicted to be 22.3e0.0ir since 2014. Find a formula for ...

A:

Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C,A and B are constant, C is a parameter

A:

Q: Use a linear approximation (or differentials) to estimate the given number. (Use the linearization o...

A: topic - linearization

Q: Find an equation of the tangent line to the graph of the equation at the given point : g(x) = x³ + 3...

A:

Q: Please show your answers to at least 4 decimal places. Suppose that f(x, y) = x°y. The directional d...

A:

Q: The equation of a family of circles with center on the y-axis is

A:

Q: Vx2 – 16 if x 0 Find the following: Note: If the g(a) or lim g(x) does not exist write DNE. 1. lim ...

A:

Q: Find the point on the graph of the given function at which the slope of the tangent line is the give...

A:

Q: dx 3. Evaluate f x(1+In² x) sec? xdx 4. Evaluate f - V1-tan? x

A:

Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

A: Differential equation  Separation of variables

Q: dx 9. Evaluate f VI (1+x) dx Evaluate J J-x sin-1 x 10.

A:

Q: The differential equation (3ycosx+ 4.xe* +2x'e" dx+ 3(sin x+1)dy 0 is exact because OM ON Ox

A:

Q: sec20–1 Which of the following is equivalent to sec-0-1 for all values of 0 for which sec20 is defin...

A: (Sec²(theta)-1)/sec²(theta) =tan²(theta)/sec²(theta) =(sin²theta/cos²theta)×cos²theta =Sin²(theta)  ...

Q: Elimination of Arbitrary Constant: y = Ax + Bx+C, A and B are constant, C is a parameter

A: We want to eliminate the arbitrary constants. 

Q: Homogeneous Differential Equation: (x* +2xy – 4y² Jdx – (x² – 8xy – 4y² kdy = 0 Use the substitution...

A:

Q: Which of the following is equivalent to csc B(sec B– 1)(sec ß+1) for all values of ß for which csc? ...

A: Topic = Trigonometry

Q: dx 5. Evaluate J 9-4x² eax dx 6. Evaluate f 1+e6x dx

A: topic - indefinite integral

Q: Find a vector that is orthogonal to both v = (1, –2,3) and w = (2, 1, –1).

A:

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A:

Q: Complete the table of values to find the following, if they exist. 2х+1 lim X-2 x-3 X 2 f(x)

A:

Q: lim log2 ( – &r – 1) 8x – -1) x→-5

A: To evaluate the given limit , substitute  x= -5  in the given expression.

Q: 5. What is the derivative of the function y = x+ Vx + Vx ? %3D

A:

Q: N. R dy dx where M,N, P.Q and R are algebraic expresions.

A:

Q: Which of the following is equivalent to sec B(tan?B+1) for all values of ß for which sec B(tan²B+1) ...

A:

Q: 4л — 6, 2 <г -

A:

Q: The equation of the Family of Parabolas with vertex (h,-3) and it opens to the left is

A: We use the equation of the parabola when open the left and vertex are (h,k) is (y-k)2=4a(x-h)

Q: 4. (a) Solve the initial value problems, dy = sin t + 1; yE)=; dt (b) Evaluate V1 – x² dx. |

A:

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: Limits and functions

Q: y = Ce-2 + C2e3*

A:

Q: lim 4 sin (x+ T) + 3

A:

Q: The length of the curve y=In sec x from x=0 to x=b, where 0 < b <, may be expressed by which of the ...

A: Given length of the curve y = ln secx.Below find the solution in the image.

Q: Solve the differential equation. 2y dx = 3xy? dx + x dy When x = 2, y = -2 %3D

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P &amp; Q is the function of x.   G...

Q: 3. Given a = (--6,6, 3) and b= (1,-1, -2) (a) Give the exact value of the angle between vectors a an...

A:

Q: Find the arca of the region bounded by y = e, the r-axis, and r > 0. You will need to evaluate an im...

A: