Solve the differential equation: dx || y+1 *

Q: 2 So Adx 4-x

A: We can find the answer as below.

Q: 3) Use double integration to find the area of the shaded region between the y-axis and the curve x =…

A:

Q: Solve the following initial value problem. y" + 16y=4 sin 2x; y(0) = 1, y'(0) = 0 The solution is…

A:

Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

A:

Q: 3. a) Consider the system k-2 4 [ 0 k-2 0 0 Find the value(s) of k such that the system has only one…

A: As per bertleby guideline I have to solve only question 3 with subparts. For answer to others…

Q: 8 1 1 -dx אן

A: If the integral gives finite value , it means integral converges otherwise diverges.

Q: Consider the function f (x) = x3 −3x2 + 2. Find f ′′(0) and f ′′(2). Deter- mine whether the…

A: topic- derivative of a function

Q: Sketch the region enclosed by the given curves. y = 5x³, y = 5x CHOICE A -3 O CHOICE D -3 O Find the…

A: For equation: y=5x y= 5 x3 required curve is: Option D

Q: Use the method of variation of parameters to find a particular solution of the following…

A:

Q: (4) 1. (4) 2. Find the equation of the line that passes through the points (6,8) and (2,20). Give…

A:

Q: Numerical Integration. Use the table provided for the integral to find the given ap Round each…

A: Given ∫141x We need to find the trepizoidal approximation for 6 sub-intervals∫abf(x)…

Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function is:

Q: Find the integral which represents the total mass of the triangular region below (see the picture),…

A: Total Mass = ∫∫R δ dA ; where, 'δ' is the density . Note : As per our Guidelines , we can solve…

Q: Find fog and go f. f(x)=√√x-6, g(x) = x³ + 1 (a) fog (b) gof Find the domain of each function and…

A:

Q: Numerical Integration. Use the table provided for the integral to find the given Round each…

A:

Q: Find the rate of change of the surface area of a hemisphere with respect to its radius. a. When the…

A:

Q: Evaluate: (answer in fractional form så S sinº x dx 0

A:

Q: 11. The point (9, 16- A. (3,4)

A: y=f(x)after transformation y=f(x)(x,y)→(x , y)(9,16)→(9 , 16)=(9,4)

Q: A person starts walking from home and walks: 2 miles East 5 miles Southeast 6 miles South 6 miles…

A: Use vector concept

Q: For the function y = f(x) 8 1+z² a. Find the slope of the line tangent to its inverse function at…

A:

Q: How long did it take for an investment of $21,250 to grow to at least $24,000 at 2.50% compounded…

A:

Q: Solve the following initial value problem. y" - 2y' + 2y = 7x+1; y(0)=3, y'(0) = 0 The solution is…

A: We can solve the differential equation.

Q: fin(x² In(x² + 4)dx

A:

Q: Solve by homogeneous equations method (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

A:

Q: 9. 10. If f(x)=√ex, the derivative is: √ex a) f'(x) = Vex b) f'(x) = √ex c) f'(x) = 2x Which of the…

A: Calculate the derivative of both problem in the following way:

Q: Q3) Use double integration to find the area of the shaded region between the y-axis and the curve x…

A:

Q: What is the rectangular equivalence to the parametric equations? z (0) = 4 cos 0+2, y (0)=2 sin 0-5,…

A:

Q: Solve the given differential equations: dy 1. 2+y² dx

A:

Q: 2. A manufacturer of boots for a slalom water ski has a production cost of $30 for each boot. The…

A:

Q: Given the equation z=f(x, y) = ln(x² + 2y² +1) with the change of variables x=3-1² and y = 4t-1³,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Compute the approximate value using differentials. /272 √234 The final answer should be in fractions…

A:

Q: For the next two exercises, use the Ratio Test to determine if each series converges or diverges.…

A:

Q: Write the solution statement for all of the solutions to the equation 6√√2csc(0) - 4√6=0

A:

Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…

A:

Q: (2x² - x - 1) x³ - x² ; 2 dx

A:

Q: Find the B-matrix for the transformation x-Ax when B= (b₁,b₂, b). -7-72-18 A= 1 17 5. b₁ = HOHOH…

A:

Q: SHOW FULL SOLUTION. A semi-circle is placed on top of a rectangle such that the diameter of the…

A: Given :   A semi-circle is placed on top of a rectangle such that the diameter of the semi-circle…

Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…

A:

Q: Water is being drained from a reservoir at the rate of w(t) cubic meters per minute at time t. What…

A: Solve the following question

Q: Question 1. Tangent and Velocity Problems Exercise 2.1, Problem 3. I need answer part b and c only…

A: Slope of a secant line is =( f(x2)-f(x1))/(x2-x1) we have to find the the slope of the tangent line…

Q: To which of the following scenarios could the equation dT dt -k(T- with solution T(t) = 25+ 35€ k> 0…

A:

Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

A:

Q: Calculate the derivative of the function below using the quotient rule. y = 210 √x + 5x8 f(x) = and…

A:

Q: Rewrite to standard form by completing the square and identify the conic: a) x² +16y² - 10x +96y +…

A:

Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

A: topic-  algebraic operation

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

A:

Q: dont understand what you have done in at the beggining

A:

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: (d)     Given that                            u = 233 feet   at  0 feet         We have to…

Q: Q21 A\ Are this function continuous f(x) x³-1 at xo = 1?

A:

Q: 3. (8x³ + 6x²5x +11) dx

A: integration