Find the volume of the region enclosed by z = 1 – y and z = y² – 1 for 0 < x < 42. - V =

Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du . x(1+vx) ...

A:

Q: Solve the initial value problem for x as a function of t.. dx (? - 15t + 56). = 1 for (t> 8), x(9) =...

A: Given that      (t2-15t+56)(dx/dt) = 1 for (t&gt;8), x(9)=0 Here we have to find the initial value p...

Q: 1 (ke)3x For ſ k*e3*dx = + C. If u = 3x, then k =? 3 (1–In 2-1)

A:

Q: Problem 2. Do both part a. and part b. Find the maximum or minimum value of the quadratic function f...

A: see below the answer and explanation

Q: (-1)"+12na" n² + 3 V. Determine the interval of convergence of

A:

Q: 5. Evaluate n(3 + 2n + n?) n = 1

A:

Q: Factor out the GCF in the following expressions. 1. 2x - 8 6. Зx? - 9х 7. 5x + 3x 8. 12x - 8

A: according to our guidelines we can answer only three subparts and rest can be reposted

Q: For ſ k*e3* dx = 1 (ke)3x 3 (1–In 2-1) + C. If u = 3x, then k =?

A:

Q: Evaluate the da xp: 1+z VE- Arctan()+C O b. 2/T+2Arctan(V)+C Va - 2 Arctan(ya) +C O d. 2 7-2Arctan(V...

A:

Q: Find the surface integral F. dS of the vector field F(x, y, z) = (-x, -4, yz®) along the part of the...

A:

Q: III Find the following: (Show your solution) Given: I미 = 35 |AN B| = 6 |AN Bn C| = 2 |A| = 15 |An C|...

A: Given that:  U=35, A=15, B=15, C=14, A∩B=6, A∩C=6, B∩C=5, A∩B∩C=2 We have to find: 1. A∩B∩C¯2. A∩B¯∪...

Q: Plot the following functions 2. y = (x – 1)3 + 2

A: Topic = Function

Q: On the interval -2<x<-1/2, the graph of the curve f (x) = 2x° +3x2 - 12x - 7 is: %3D Support answer ...

A:

Q: Find dy da Given: x² – y³ = 2xy

A:

Q: 200 1. The function: P(x) = 2x + 0 <x < 0, models the perimeter of a rectangle of dimensions x by 10...

A:

Q: Let u = 10TX. The differential of u with respect to x is du = 1072 20 7 Step 2 Rewrite the integrati...

A: topic - indefinite integral

Q: Solve the following differential equation dy _ x²+y² dx ху Select one: O a. y? = x?Inc²x² O b. y? = ...

A: Solving by exact differential equations

Q: Find the particular antiderivative that satisfies the following conditions: 10 10 H' (x) x2 ; Н(1) —...

A:

Q: Find the surface integral F. dS of the vector field F(x, y, 2) = (–x, –y, yzº) along the part of the...

A:

Q: Compute dy/dx for the function. 5) y = In sinh 6x

A: topic- derivative of a function

Q: Given the the parametric curve Į æ(t) = ecost y(t) = t³ – 243t

A:

Q: Determine Functions Directions: Determine which relations represent a function and then drag each in...

A:

Q: Find the particular antiderivative that satisfies the following conditions: dR 20 R(1) = 50. dt t2 R...

A:

Q: prove that tanx V secxsinxtanx

A:

Q: An airplane traveling horizontally at 110 m/s over flat ground at an elevation of 5,000 meters must ...

A:

Q: A differentiable function f has one critical number at x = 8. Identify the relative extrema of fat t...

A: We have to choose correct option

Q: Solve the initial value problem: dy/dx= (5x^4)(y^4) ; y(0)= 1/2

A:

Q: Find the limit by rewriting the fraction first. ху — у - 8x +8 lim х - 1 (х,у) —>(1,3) x+1 ху — у — ...

A: In this question , we can find the limit . Firstly , we arrange numerator term and cancel the denomi...

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: dx The integral S reduces to S k, where u = f(x) and for some constant k . Compute f(1). ex+1

A:

Q: Explain why limit exists or does not exist. (z-2)(z-2) lim log1/3 \sin((2z+ 1)(z-2)) Z→+2

A: Solution is here 

Q: The value(s) ofp for which the series E-1 is (1+n*)-P convergent using the integral test: A) p2 1. B...

A:

Q: Determine whether the series is convegent or divergent. If it is Convergent, find its sum. If s an=l...

A:

Q: Solve the initial value problem. dy + 5xy = 8x, y(0) = - 6 dx y =

A: topic - differential equations

Q: 3 21 2 8 -1 -7 -2 -24 Using polynomial interpolation of the data above, find: a. the degree b. the p...

A: The given values are: We will use the Lagrange Interpolation Formula to find the polynomial.   Lagr...

Q: Determine

A: We will find the critical points by equating the derivative to zero. 

Q: W= x"+y+Z",

A: This is a problem of partial differentiation. Based on the general formula of PDE we will solve the ...

Q: Find the volume of the solid whose base is the region in the xy-plane that is bounded by the parabol...

A:

Q: 3. What transformations have taken place, of the parent function, to get to f (x)? Describe in words...

A:

Q: Given the the parametric curve S2(t) = ¿e4 – l y(t) 12et + 32t 1 t5 – 6t + 10 dy (a) Find an express...

A:

Q: Evaluate 3x*–17x²+36z-35 d 1-4z+4 a. 클2-5r-4ln lln-21+ +C O b. 클23-5z + 4ln lin-21+ +C 클고고 + 5z + 4l...

A:

Q: 6. - 2х + 3) dx

A: According to Bartleby's guidelines we can solve only one question at a time. Apologise for the incon...

Q: Let J ex+1 S dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f(3).

A:

Q: ху" + (1+х)у —е*, у(1) — 0

A: As mentioned to solve question number 6. Kindly repost the other questions in the next part.Question...

Q: Answer the given DE below: x (dy/dx) +y=y^2

A:

Q: Find the indefinite integral. sinh(2 – 7x) dx Step 1 First, let u = 2 - x. Now, differentiate u with...

A:

Q: (2x + dx + 4x*) (x +4x5 Using u-substitution and transformation of the integrand, then the power for...

A:

Q: Rounded to the nearest hundredth and using four segments, the arc length of the curve of f(x) = / x ...

A:

Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

Q: nl n-1 lim O converges O diverges

A: Given query is to find series converges or diverges.