9.) Find d'y Given: x +y = 1 dr 10.) Find coen y= 3x- 1

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =...

A:

Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for Sim...

A: Trapezoidal RuleGiven,I=∫02(5t3+7t)dt⇒a=0, b=2, and given n=4.we know that,h=b-anh=2-04h=24h=12=0.5....

Q: Q// Sketch the region of integration and evaluate the integral +/y+4 dxdy y+4

A:

Q: Express the composition W (x) in the form f • g • h. W (x) = - 7 х — 7

A:

Q: Vx dx 1+ Vx

A:

Q: A triangle having an area of 22.62 cm2 is inscribed in a circle whose radius is 6 cm. If one of the ...

A: Given query is to find perimeter of the triangle.

Q: 25. Evaluate the following definite integrals. dy d) (y+2)

A:

Q: So 4х cos (2x) dx e x COS

A:

Q: dw If w = x2 + y2 and x = at?,y = 2at find dt

A: Differentiation

Q: You have a wire of length 2 m, which you can bend either into a square or a circle. You also have th...

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A:

Q: 12. Solve the following inequalities. a) -7x + 8 < 4x - 2 b) (3- 4x)(x + 1)(7 – 2x) <0 6x-9 c) 3x-2 ...

A: For (a),     -7x+8≤ 4x-2⇒-7x≤ 4x-10⇒-11x≤ -10⇒x≥1011 For (b),     3-4xx+17-2x≤ 0⇒x≤ -1  or  34≤ x≤72

Q: B. (P +Q+R+M+ N) u= V4 - Vw +1 du Pw + Qw² +3 +R/w +1 u" or dw? 9u" (w +1)"

A: Given

Q: Given the function f(x) = x* – 24x², determine all intervals on which f is both decreasing and conca...

A:

Q: • Evaluate the following: 1) S (5 cos x - 4 sin x ) dx cos x 2) S dx sin? x 3) S (4 csc x cot x + 3 ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: DIFTERENTIAL 6QUATO NS Eliminate the arbitraty constans y Iny c,e+ Cze Fihp THe BIFFERENTI EQuntoN F...

A:

Q: If you already know lan and |v], then the formula an = K|v gives a convenient way to find the curvat...

A: Please follow step 2 . 

Q: Find the first and second derivatives of the function. g(t) = t°(6t + 5)* g'(t) g"(t) =

A:

Q: Find all second order partial derivatives for the following functions: a) z = xe-2y +x In(y) + y ln(...

A: Partial derivative  In partial differentiation take only one variable and treat other as constant .

Q: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing

A: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing.  

Q: 27 Use the price-demand equation below to determine whether demand is elastic, is inelastic, or has ...

A:

Q: I cot2 r dx

A:

Q: 3. Given r(t) = e' sin t i + et cos tj + v2e'k, a) find the arc length function for the curve measur...

A: We have to find arc length function, point and re-parametric equation. 

Q: Given the function f"(x) = -2x(x – 4)(x – 6), what conclusion can be drawn directly from the sign ch...

A:

Q: Let us try to find where a function is increasing or decreasing given the following.  f(x) = x3−4x,...

A: Topic:- calculus

Q: Question 1 For each improper integral below, show that it diverges or find its value. (a) | Va In z ...

A: in multiple question we are allowed to answer only first three sub parts of question.

Q: Activity x -1 a. Find lim f(x) if f(x)=. x+1 b. Complete the table of values. -2 -1.5 -1.1 -1.001 -1...

A: Limit  and function values 

Q: ITEMS: Evaluate the following integrals. 1. / e* cos(2x) dx

A:

Q: Find the volume V of the described solid S. The base of S is the triangular region with vertices (0,...

A:

Q: 8. Find the limit, if it exists, or show that it does not exist: 2х-у a) lim (x,y)→(1,2) 4x²-y2 ху+у...

A:

Q: The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name th...

A: The parametric equations are given as , x=2cos8t , y=2sin8t Name the type of curve that the pair of ...

Q: If someone could explain how this equation could be turned into a word problem? Example of the equa...

A:

Q: For f(x, y) = 2x3 + x*y? – 5y? +10, Find fr:

A:

Q: du If u = x²y + y²z + z?x then at (1,1,0) is ax %3D -

A: Given that u=x2y+y2z+z2xTo find :∂u∂x  at 1,1,0Solution :u=x2y+y2z+z2x∂u∂x=2xy+0+z2∂u∂x=2xy+z2

Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

A:

Q: 10. Prove that lim x2 = 4 using the epsilon-delta definition of a limit. %3D X-2

A: limx→2x2=4

Q: Using the fomat of dy/dx below, find (A +B+C+ D). dy 40t? + At +B dx -Ct? + Dt + 3 ||

A:

Q: Evaluate O xy°dx + x²dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

A:

Q: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and lengt...

A: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and lengt...

Q: Glven the functions below, find dy/dx using CHAIN RULE. 2 y = 4t +1 ; ; x t = 3w + 4 5w - 2 Using th...

A:

Q: 4. State the domain and range of the following functions. a) у%3D 5х —4 b) y= Vx-x c) ((x,y)ly = vx²...

A:

Q: Expand (2+V-9) А. 46+9i В. 46-9i С. -46-9i C. D. -46+9i

A: Option (D) correct. For detail go through the solution

Q: Evaluate the indefinite integral (t)cos (t)dt

A:

Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5q + 6000. ...

A:

Q: Evaluate the following integrals of inverse trig functions. NOTE: SHOW COMPLETE SOLUTIONS 1.∫ sin^...

A:

Q: S(2y + 3)?/ y+ 2 dy

A:

Q: 1. 4x° sec .3 x dx cos Va dx Væ csc Va x2 -dr 2.

A:

Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then, ...

A: Solve for average temperature after 40 min. 

Q: Use substitution to evaluate the integral tan? x sec? x dx

A:

Q: Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. T...

A: