If y = (2x2 – 1) then what is y'? а. у %3 4x (2x2 -1) -12 b. у - 2x (2x2 - 1) 2 с. У 3 2x (2х- 1) % d. y = 2x (2x2 – 1) -1/2 If y = (2x + 7)2, then what is dy / dx ? a. dy/dx = 2 b. dy/dx = 8x + 28 c. dy/dx = 2(2x + 7) d. dy/dx = 4x %3D %3D %3D

Q: In 2010, 1250 U.S. college students expecting to graduate in the next several years were surveyed. R...

A:

Q: Find projy u. v = 7i-3j+ k, u = -4 j+ 3 k 60 45 j+ k 59 59 O 105 i- 59 45 15 k 59 59 9 9. +k

A:

Q: Determine whether the statement is true or false. The ratio test is often useful to determine conver...

A:

Q: What integration technique can be used to integrate: sec2 xdx Integration Formulas O Trigonometric S...

A:

Q: 2. Find the general solution of this system. x' = -1 -1 -1 11

A: First we calculate eigen value of given matrix then we find eigen vector. 

Q: 5. Consider the graph of y = 7-3x2. Calculate the area enclosed by the curve y= 7- 3x and the x-axis...

A:

Q: Find an LU decomposition for the coefficient matrix and hence solve the system of equations xị -2x2 ...

A: We can write the given equation as:  1-231-121-13-613x1x2x3=7-313 The coefficient matrix is: A=1-231...

Q: 1.) Explain why the integral below is an improper integral and what two integrals tell us whether it...

A:

Q: cos v f(x, у, 2) 3D xz2 af af 2 cos y Cosv siny df = - = - = - dx x2z2' dy dz xz3 XZ af cos v %3D af...

A: Topic:- partial derivatives

Q: Find all the partial derivatives of: f(x, y) = y7 In(x²) + 9y¬3 – Vx*.

A:

Q: Use the Integral Test to determine the convergence or divergence of the series. 00 Σ 3n + 6 n=1

A:

Q: Determine the amplitude, period and displacement for the given function, and sketch the graph of the...

A: Function y=32sin2x+π6 is given.We have to determine amplitude, period and displacement for the given...

Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

A:

Q: A commercial fishing boat uses sonar equipment to detect a school of fish. It detects a school of fi...

A:

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co o...

A: The given series is: ∑n=1∞(n!)n(nn)8

Q: Find the coordinates of the point in the curve y = 12x – 2y + 23 that is nearest to the point P(10, ...

A: Given curve: y2=12x-2y+23 The point is  P10,4 To find: The coordinates of the point on the curve tha...

Q: Find the derivative of each function by using an appropriate differentiation rule. 1) f(x)=3x^3 - 4...

A:

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose t...

A:

Q: 1. Find the general solution of (y? – 1) = 4xy? dx dy 2. Find the solution of dx e2x+y that has y = ...

A: Using variable separable. Then integrate it .  According to guidelines we solve only first three par...

Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 4 %3D k! k=0 4...

A: Taylor's series about x=x0 for the function ex; x0=4

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the su...

A: Given problem:- Find the equation for (a) the tangent plane (b) the normal line at the point Po(2,0,...

Q: SOLID MENSURATION I 4. A tower 125 feet high stands on the side of a hill. At the point 240 feet fro...

A:

Q: . A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on t...

A: The given problem is solved below in detail.

Q: 2n a. Find the local extrema of the function f(x) = cos 3x + 3 sin 3x on the interval 0sxs and say w...

A: 0≤x≤2π30≤3x≤2πf(x) = cos 3x +3 sin 3xf'(x) = -3 sin 3x + 33 cos 3x f'(x) = 0-3 sin 3x + 33 cos 3x=0t...

Q: Determine the present value P that must be invested to have the future value A at simple interest ra...

A:

Q: 010, 1250 U.S. college students expecting to graduate in the next several years were surveyed. Respo...

A: Topic:- algebra

Q: Evaluate the integral: fe2 /1+ e2 dx

A:

Q: Entering PIN code from the ATM account. Combination Permutation

A:

Q: Eight workers are assigned to 8 different jobs. Combination Not Combination

A: Eight workers are assigned to 8 different jobs. We have to determine whether it is combination or no...

Q: Find the derivative of sin In x O sin(Inx)/x cos(Inx)/x O cos(1/x) O sin (1/x)

A: topic - derivative of a function

Q: The principal represents an amount of money deposited in a savings account subject to compound inter...

A: The objective of the question is evaluate the compound interest and solve the algebraic expressions.

Q: What integration technique can be used to integrate: 5dx V3+ x2 Integration Formulas Trigonometric S...

A: topic- indefinite integral

Q: The Maclaurin series of the function f(x) = 6z tan-(9z) %3D can be written as f(2) = Cnz" n=0 where ...

A:

Q: Use sigma notation to write the Taylor series about x xo for the function. e; xo = 7 - 7)* k! e7 k! ...

A:

Q: The graph of the equation 2x2 - 5y? + 12x+ 20y+F=0 is either a hyperbola, a point or two intersectin...

A: The graph of the equation, 2x2-5y2+12x+20y+F=0, is either a hyperbola, a point or two intersecting l...

Q: 12-41-12 dx Evaluate the integral: I+2

A:

Q: 1 if x - 1 I-2

A:

Q: Sy sin 3ydy

A:

Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 4 sin ...

A:

Q: For the function y f(x), it was found out that f"(C) = 0. What can be said that x=c ? critical point...

A:

Q: 2 Given f(x,y) = x?y-3xy³. Evaluate fdx 14y-27y + C 6. -6y3 + 8y/3+ C O 6x2 – 45x +C 4 2x2 – 12x+ C

A: ∫xn dx = xn+1n+1+C.

Q: u = (5, 5) v = (7, 1) %3D

A: Given : u=<5, 5> v=<7, 1>

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. In n Σ n + ...

A: Given :∑ n=2∞ln nn+3

Q: Let R be the region inside the polar curve r = 2 sin 0 and outside the polar curve r = 3 – 2 sin 0 a...

A:

Q: top of the second post. How far from the shorter pole must the peg be installed so that the length o...

A:

Q: مرمع الراشرة

A:

Q: To integrate y3xdx we apply integration by parts and in the form u dv, u is set as:

A:

Q: St Joseph's church has a fund-raising valentine's dinner  to renovate their church.   Their account...

A:

Q: The integral of Cos x with respect to * A cos x +c B -sin x +c (c) sin x +c D) sec x +c

A:

Q: If ƒ is continuous for a < x < b and differentiable for a < x < b , which of the following could be ...

A: Here, given that f is continuous for a≤x≤b and differentiable for a&lt;x&lt;b.