12. h(x) = sin x X

Q: 3. lim tan x x→2/2

A: Topic- Limits  3.)limx→π2tan x   exists only if limx→π2-tan x=limx→π2+tan x if limx→π2-tan…

Q: Given y = -3x^2 + bx + c , find b so the graph  could be in quadrant 2.

A:

Q: Consider the following. f(x) = x2 − 4x (a) Use a graphing utility to graph the function and find…

A: Consider the following.   f(x) = x2 − 4x (a) Use a graphing utility to graph the function and find…

Q: Refer to the graph of the curves y = cos(x) + 1 (in green) and y = 2x (in black) below. -0.2 -1-…

A:

Q: en the differential equation 4x²+ y² dx+x\x-2y dy=0 Verify that M(x, y)= (4x²+ y²) and N (x, y) = x…

A:

Q: Use the given conditions to write an equation for the line in point-slope form and in…

A:

Q: Let P be a point on the parabola y = 4x2, and let Q be the point where the perpendicular bisector of…

A:

Q: Show that f is continuous on (-infinity, +infinity) f(x)= { 1- x2 , if x less than or equal to 1…

A: A function f(x) is said to be continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(a).Also we know that a…

Q: 1. A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 3x/ (x+1)^2,    (0, 0)

A:

Q: 4 decimal places   Using differentials, solve for the approximate change in the hypotenuse of a…

A: Given   Lengths of legs of right angle triangle change from 8 meters and 15 meters to 8.1 meters and…

Q: A tank holds 3,000 gallons of water, which drains from the bottom of the tank in half an hour. The…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  t 5 10 15 20 25 30…

Q: Consider the function y = f(x) = x² + 15x + 56 and the x-value xo 5 (a) Find a formula for the slope…

A:

Q: 8 3х

A: We have to simplify

Q: Use the definition of continuity and the properties of limits to show that the function is…

A:

Q: Determine if the following functions are homogeneous, and if so, of what degree? 1. z(x, y) = x5 /…

A: We need to check if the following functions are homogeneous, and if so,of what degree they are.1.…

Q: 20. If you use the ratio test on the divergent series $ Σ2-1 =1 inequalities will result? n+4 A.…

A:

Q: Consider the following sequence: (an) = = {n-n²} Use an+1-a, to show that the given sequence (a) is…

A: Given :

Q: Evaluate [ cos²x = 2

A:

Q: xy dx - (x² + 3y²) dy = 0.

A:

Q: Given the graph of g(x) (below), find 15 -5 (1, 12) g(4)-g(1) 4-1 10- -5 0 (4, 6) Graph of g 5 10

A:

Q: Consider three arbitrary vectors u, v, w E R³. Using the definitions of the cross and dot products,…

A: We need to prove  u.(v x w) = w.(u x v) = v.(w x u)

Q: Solve the ff. Linear DES: dy + 2x-¹y dx = -6x-5 dx 1 y² dx + 2yx dy = = dy y

A:

Q: 35. \mbox{For}\:t\ge 0\mbox{, an object's velocity is given by}\:v(t)=-t^2+4\mbox{. At} t=0 the…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Find a differential equation whose general solution is 8t y = C₁est + c₂e-4t. = 0

A:

Q: Eliminate the arbitrary constant: y = e¯*(c₁cos 2x + cösin 2x)

A:

Q: Find the average rate of change of the function f(x) = 3x from x₁ = 0 to X₂ = 7. The average rate of…

A: Topic = Function

Q: Use the given conditions to write an equation for the line in point-slope form and in…

A: I am attaching image so that you understand each and every step.

Q: x² + 8x x³64x Determine the number of discontinuities of f(x). Consider the function f(x)= Determine…

A:

Q: 29. limx→ In A. 00 B. باد 8 n (-/-) 3x² 7x³-10 3 C. D. 31/17 E. Does not exist

A:

Q: Let f be a differentiable function such that f (2) = 2 and f' (2) = 5. If g(x) = x³ f (x), what is…

A:

Q: -2 . lim x-² x-0

A:

Q: f(x)=3x-2,g(x)=x2+6x, (f/g)(x)  The answer I got was 3x-2/x2+6x or 3x-2/x(x+6)  my question is…

A: Here, the given functions are: f(x)=3x-2 & g(x)=x2+6x

Q: 9. (D² - 4)y = e²x + 2. Ans. y =

A:

Q: 16. Let / be a differentiable function such that 6x³in (4x) dx = 2x'in (4x)-[2x'g(x) dx What could…

A: given; Integration of 6x2ln(4x)dx=2x3ln(4x)- integration of 2x3g(x)dx.

Q: The series converges. O The series diverges.

A:

Q: Methods by substitution (2x+1) dx - (x+3y+2)dy =0

A:

Q: HOMOGENEOUS

A:

Q: Consider the following system of linear equations given in a matrix form: 1 2 0 0 0 0 1 0 0 0 1 0…

A: The given system in matrix form is: 1200|30010|10001|1

Q: xy dx - (x + 2y)² dy = 0.

A:

Q: if f(3)=4 and f(4) = 5 what are f-1(5), f-1(4), and f-1(3)?

A:

Q: 1. Suppose that g(x) - 2 ≤ 3(x-1)² for all x. Find lim g(x). Justify every step.

A:

Q: Problem 2: a. Find the differential equation by eliminating the arbitrary constants of the family of…

A: Use diffential concept

Q: The graphs of y = f(z) (solid) and y = g(z) (dashed) are shown. The two graphs intersect at (5, 16).…

A:

Q: 3. The matrices A, B, C and D are given below: A = 2-2 1 0 2 1 0 -4 5 2 B = -3 2 1 0 0 3 -6 -1 2 2 C…

A: Given matrices A=1230-41502 ,B=-30023-61-12,C=102530-2 ,D=84-3 We have to find B-A,A+2B,BC,A-5CD…

Q: 15. xdx+sin’ (y/x)[ydx − xdy]=0.

A:

Q: . Use congruences to show that there is no solution to x³ + x² − x + 1 = 1522745.

A:

Q: Use exact area calculations (not Riemann sums or the FTC) to evaluate each of the following…

A:

Q: A rectangular piece of cardboard measuring 8 in by 10 in is to be made into a box by cutting equal…

A:

Q: Find the most general antiderivative of each of the following functions. Verify that your answer is…

A: