1. Please use this formula in finding the derivative of a given function. (. b. Find the derivative of y = - at x-1 and x= 3.

Q: (х+2)? x? - 4 dy 2y + dx х* — 4 |

A: dydx+2yx2-4=x+22x2-4

Q: 2. Given the function g(x) = 1-x², graph and find lim g(x) a. b. lim g(x) C. lim g(x)

A:

Q: A triangle has been drawn on the unit grid. Which is the area of the triangle?

A: Find area of triangle ?

Q: Find the integral using the substitution u = Enclose arguments of functions in parentheses. For exam...

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute  ............

Q: siny dx + (x – sin? y)dy=0

A: We have to solve the differential equation sin y dx + x-sin2y dy = 0   We know that ∫cosec x dx = ln...

Q: 2. Sketch the graph of g(x) and discuss the continuity and discontinuity at x = 2 X = 0 g(X) = PEN

A:

Q: Find all solutions of the linear ODE: y'''+y=t

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

Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

A:

Q: ORDER DEGREE LINEAR OR NON- LINEAR a2u a?u a2u = 0 ax2 ay2 ' az² (x + y)dx + (3x? – 1)dy = 0 d²r d?r...

A: Let's find. 

Q: Write a possible transformation in function form that will transform the ordered pair (-1,4) to the ...

A: Topic:- geometry   

Q: Find x*y°dx where C is the arc of the curve x = y? from (0,0) to (9,3) %3D

A:

Q: Differentiate (xy)* = e a. y' = Y(1+lnxy) c. y' = Y(1-Inxy) b. y' = x(1+lnxy) d. y' =Y(1+ln xy) y

A: (xy)x=e Take logarithm on both sides: ln(xy)x=lne ln(e)=1: ln(xy)x=1  

Q: 4 lim 5. lim + 61 6 lm

A: This question is based on Limits.

Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x ...

A: 9. There is an infinite discontinuity at x=0 and f(0)=-210. There is a jump discontinuity at x=1 and...

Q: 7. lim(9x-3x+4) (x-3)(* 8. lim EX-2. x*+1

A: limx→139x2-3x+4  

Q: - particle's position for t > 0 is given by s (t) = 2t³ + 2t² – 5t +2. What s the acceleration at t ...

A: Given query is to find the acceleration ate t= 1.

Q: Find the linear approximation of the function f(x, y, z) =    x2 + y2 + z2 at (4, 8, 8) and use it t...

A: Solution is given below:

Q: - 2x – 20 A B x2 + 10x + 24 r + 4 x + 6

A:

Q: Find the slope of the curve x? – 3xy + y² – 4x + 2y + 1 = 0 at the point (1, -1). с. 1/3 d. 1/5 а. 1...

A:

Q: Operations on Functions Using Tables of Values Use the tables for f(x) and g(x) to evaluate the expr...

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

Q: Find the derivative of the following functions.

A:

Q: 1 Rademacher Complexity iid DIz, denote Rs(F) the empirical Rademacher Given a space Z and a sample ...

A:  

Q: solve the differential equation. (x - 2y + 4)dx + (2x - y + 2)dy = 0

A:

Q: 6. - ydx + (x ++ |xy )dy = 0

A:

Q: Problem 5.1 List all the elements of Un for n E {2,3, 4, ..., 12}.

A: Un is a group in which all elements are relatively prime to n and less than n

Q: Find the derivative. y = V¤ y'

A:

Q: Solve the differential equation: dy = (y2xex3-3x2y) dx Please also state which or the following wa...

A:

Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

A:

Q: Use the price-demand equation to determine whether demand is elastic, inelastic, or has unit elastic...

A:

Q: Differentiate y = (x² + 7x – 1)(5x + 2)

A: We have to differentiate y with respect to y

Q: Solve the differential equations. (y Jri i y²) dx xdy When x=V3, y = 1

A: y-x2+y2dx-xdy=0

Q: In 2000 (t=0), the world consumption of a natural resource was approximately 20 trillion cubic feet ...

A:

Q: Circulation time is the average amount of time it takes for all the blood in the body to circulate o...

A: We know, d/dx (xm)= mx(m-1) , for any real number m.

Q: — хех dx -0-

A: Given: - The integral is, ∫-∞0-xexdx To solve: - The solution of the given integral.

Q: Evaluate 5x² cos 2x dx.

A: Given query is to find value of the integral.

Q: - ydx + (x ++ Vxy )dy= 0

A:

Q: 4. ( * x)dk =(2y-)dy 2Y- I+x?y2

A: For the solution follow the next step.

Q: dx Evaluate the integral / by completing the square and using x² + 4x + 20 trigonometric substitutio...

A: integration with subsitution 

Q: sec? x 2. csc2 x = sec2 x-1

A:

Q: How do I wvaluate f(x) = −2x2 + 4x for f(a+h)?

A: Topic = Functions

Q: 1 Solve the equation: 1 x + 3 1/4

A:

Q: dy Find for: dx tanx a) y = xaT b) y = (Inx + x)'

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: – Verify the following formulas : a) cosh u dx 1 du vuʻ-1 dx 1 du b) tanhu= ul<1 dx 1-u'dx

A:

Q: 5æ? + 3x. Let f(x) = 4x + 3 and g(x): After simplifying, %3D %3D (f o g)(x) = Let f(x) = Then the do...

A: 1st Part:  Given data is: f(x)=4x+3    and  g(x)=5x2+3x     

Q: Let f(x) = x² – 3x+ 4 and g(x) = Vx – 3. Find the following - - (a) f(0) (b) f(2) (c) g(12) (d) g(4)

A:

Q: 2x +x sin 3x lim 5x² -2x+1

A:

Q: 1. lim x +2x2 + 3x +7 X-3 2. lim (7-8x) (9x-11) x+2 3. lim 3x2 - Vã + 4x + 27 X-8

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: dx Assume that x = x(t) and y = y(t). Find using the following information. dt dy x2 + y? = 2.92; - ...

A:

Q: If you are outdoors, the wind may make it feel a lot colder than the thermometer reads. You feel the...

A:

Q: dy = (y2xe^ - 3x²y)dx

A: