Which of the following is the general solution to the differential equa · (x – /x² + y² )dy = 0 ? dx – In(x+ Vx² + y²) = Cx x² + y² x + = C В

Q: ak+1 If lim k→+∞ ak = 5, then ak diverges. k=1

A:

Q: Given that is the series (k +1)4/4k+1 1+ k: 1 lim k→+0 lim k→+0 4 (-1)*;4 4k is the series condition...

A:

Q: The deviation of each observation (y) from the mean of the response variable is positive for every p...

A:

Q: Find the​ curve's unit tangent vector.​ Also, find the length of the indicated portion of the curve.

A: Given that      r(t) = 6t3i + 2t3j + 3t3k  , 1<=t<=2 

Q: Differentiate the following inverse trigonometric functions : 1) y =-2 sin-1x 2) s (t) = - cos-1 t

A:

Q: Find the derivative of 7 (t) = (1+t°, te¯t, sin (2t)) A. F'(t) = (3t°, (1 + t)e¯t, 2 cos (2t)) B. 7(...

A: We are asked to find the derivatives.

Q: 1. Evaluate the following limits. x+ Vr - 3r а. lim Vr4 + 3x

A: We have to find limit

Q: (a) If $2000 is invested at 5% interest, find the value of the investment at the end of four years i...

A:

Q: When a bullet is fired into a sand bank, its retardation is assumed equal to the square root of its ...

A:

Q: ind the equation of the curve at every point of which the tangent line has a slope of -e-.

A:

Q: Find the average value of f (x, y) = 4x cos(wy) over the rectangle R = {(x, y) | 0 < x < T, 0 <y < 2...

A:

Q: If xy + 5e = 5e, find the value of y" at the point where x = 0. y" = Need Help? Watch It Read It

A: xy+5ey= 5e. Find y" at x= 0 

Q: *Introduction to Derivatives (x²+2x-3 Using the 3 conditions, show that f(x) = 4 if x#1 is both cont...

A: Differential function is always contious bt Converse is not true

Q: For the next three questions, consider the differential equation: y" – 2y' + y = e* arctan r

A:

Q: Study the figure below and give the value of x and y^, If the least squares equation is y= 18.9476+1...

A: Given query is to find the value of x and y^ from the graph.

Q: You are inflating a spherical balloon at the rate of 7 cm³/sec. How fast is it radius increasing whe...

A:

Q: Evaluate the following integrals. 1. 4.x3 sec-1 æ dx cos VT dx x Csc Vx 2. dx V4x – x2 3. -

A: Given problem:-

Q: 16

A:

Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr...

A: We have to find out degree

Q: Given the function: f(x, y) = 3æ°y – 7x*y+ 5x – 4y Find the folowing: show complete solution a. fz(1...

A:

Q: Time Interval [1, 2) [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] Average Velocity | Complete the followin...

A: We will find the average and instantaneous velocity. 

Q: For the next five questions, consider the following differential equation: ( + ry")dr + (5y - ry+ y'...

A:

Q: (2xye(x^2)y+y2ex(y^2)+1)dx+(x2e(x^2)y+2xyex(y^2)-2y)dy=0

A:

Q: Find the centroid of the region shown, not by integration, but by locating the centroids of the rect...

A: This question can be solved by finding the area and centroid of rectangular part and right angled tr...

Q: Use technology to evaluate the given expression. Take 1.5 7.9 1.4 -2.32 5.4 and B = 5.8 0 A = \ 44.4...

A: A=1.4-2.325.444.4012.8AT=1.444.4-2.3205.412.8B=1.57.95.805.46.94.2B=4.2×1.54.2×7.94.2×5.84.2×04.2×5....

Q: E. Perform the indicated operation given the following function. f(x) = 1- 2x g(x) = -x + 3x h(x) 3x...

A: The composition (f ° g)(x) means "evaluate g at x, then evaluate f at the result g(x)"

Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then di...

Q: Write the equation of a conic given by x2 – 9y2 + 2x- 54y-80=0 in standard form. (x+ 1)² (y+3)? 162 ...

A: The objective is to write the equation of conic in standard form. 

Q: 6. For the function a 10th degree polynomial. a) Up to how many x intercepts can there be? b) Up to ...

A:

Q: 1. Given that r(t) = t²i+tj + 2k. Sketch the curve with the given vector equation. Indicate with an ...

A:

Q: a 3+ 1 S (z2 +4 ) dx. Which of the following is equal to the given integral? O not integrable O z + ...

A: Given: ∫ x3+1(x2+4)2 dx To form a partial fraction which is equivalent to the given integral:

Q: Give the coordinates of the vertex to the right of the center in the equation: (x- 3)2 (y-1)² =1. 9....

A:

Q: -1 | tan *xdx

A: The given integral,       ∫tan-1x dx

Q: A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the figure belo...

A:

Q: The number of bacteria "N" present in a culture increases at a rate proportional to the number prese...

A: Topic:- function

Q: A tank in the shape of an inverted right circular cone is full of water. The water weighs 62.4 pound...

A:

Q: Is the integral of 2x wrt x equal to 2x^(1+1)/(1+1)?

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x = 6 x-intercepts...

A:

Q: The graph of y = f(x) has a y – intercept of 3 and the tangent line at the point (x, y) has an x- in...

A:

Q: A point (5, - 1) on the terminal side of an angle 0 is given. Find the exact value of sec 0. 2/6 3/2...

A:

Q: X+ 4x + 3

A: Given query is to eveluate the integral.

Q: Which of the following is the general solution to the differential equation y?dx = (xy – x²)dy? x In...

A:

Q: A trough is 3 m long, 5 m wide, and 4 m deep. The vertical cross-section of the trough parallel to a...

A: Find your answer below 

Q: Name the quadrant in which the angle 0 lies if cot t > 0 and sint < 0. O II OIV O Not possible to de...

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: Given :   f(x)=ex x0=6

Q: Evaluate lim -2x csc (-5x).

A:

Q: 47 - tan 3. (That dot between the two trigonometric functions represents multiplicatic () Find the e...

A: Given that sin7π6.tan4π3Solution:sin7π6.tan4π3sinπ+π6.tanπ+π3-sinπ6.tanπ3        sinπ+θ=-sinθ ,tanπ+...

Q: A population of protozoa develops with a constant relative growth rate of 0.7943 per member per day....

A: A population of protozoa develops with a constant relative growth rate of `0.7943` per member per da...

Q: (a) Find the slope, m, of the tangent to the curve y = 9 + 5x2 - 2x at the point where x = a. m = (b...

A:

Q: 3x lim The limit 2 x-2 (see graph) is

A: Here, to find the given limit: limx→2+3xx-2