7 1 = xp- Зх-2 du 5. 2 O True O False

Q: Consider f(x, y) = 3a² – 4y² and U = cosn î + sin }r î. %3D %3D Find the directional derivative of f…

A:

Q: 1 - x dx. Evaluate: e + x

A: ∫1-xex+xdx=-∫x-1ex+xdx                     =-∫ex+x-1-exex+xdx                     =-∫1-1+exex+xdx…

Q: First, solve the following system of

A:

Q: 00 Determine el valor de a e R tal que: e+1

A:

Q: Find the Indefinite Integral and check the result by differentlation. dx (5x)- Step 1 To obtain the…

A: topic - indefinite integral

Q: sinh x – 1 dx cosh x

A: The given integral: ∫sinh x-1cosh xdxWe need to find the antiderivatives.

Q: 25. y x', y = 2- x|

A:

Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

A:

Q: Given vectors in R3 (2 -1 0),(3 1 2) and ( 1 0 1). They are linearly independent. Select one: O True…

A: To find that the given vectors are linearly independent or not.

Q: 1. If x = -2 is a zero of the function P(x)=x' +6x -13x-42, find any other zeros of Pusing long %3D…

A:

Q: 8 – x2 dx I. x(x2 + 5x + 8) 1

A:

Q: 5) Determine the following indefinite integral cos (3x) (1 – sin(3x))(2 – sin(3x)) -dx

A:

Q: DETERMINE THE APEA UNDER THE PARA HETRIC CURVE GIUEN DY THE FOLLO WING PARAMETRIC EQUATIONS. x=2 (6…

A: We have to find the area under the curve.

Q: 2. (a) Find the exact length of the curve (i) r = 1+sin 0, 0<0< 2n, (ii) r = 2(1+ sin 0), 0<0< 27.…

A: We need to find length of curve.

Q: Q/ Find the Surface area generated by revolving y = 1 - 2² around the y-axis, ?0 <x <1 where

A:

Q: The revenue (in millions of dollars) from a manufacturing process is projected to follow the model R…

A: Profit=Revenue-Cost

Q: Find fxx​(x,y), fxy​(x,y), fyx​(x,y), and fyy​(x,y) for the following function.…

A: To find fxxx, y, fxyx, y, fyxx, y and fyyx, y for the following function.fx, y=3x2y2+4x3+6y

Q: Determi he the slope 9 x3 -43 =1 at (1,2)

A:

Q: Evaluate the following integrals: |cos 2xdx |2 x – 5kdx - 1. 2.

A:

Q: Find * L(sin? at) 2

A:

Q: Timo: 1 hr. Note - Answer only (6) function * Find dy for the following function : xp log secx 2xy =…

A:

Q: sin:

A: This question is based on Partial diffrentiation.

Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x -1=0. Graph…

A: Let's find.

Q: Solve the initial value problem : y +6 y +13 y=0; y(0)=2,y'\0)=0

A:

Q: Determine the area of the region bounded by the curves y = 3x - x and y= 2x² - x² -5x with (x20) A 8…

A: We have to find the area between the curves.

Q: Find the position function s(t) for an object with acceleration function a(t) = 9sin(3t), whose…

A: We have to find the s(t)

Q: (x-4)2 (y+1)² Problem #4: Find the slope of the line tangent to the conic section 16 = 1 at (4,6)).…

A: We can find the slope to the conic section at the given point as below.

Q: Evaluate xy dx + (x+y)dy along the curve y = 4x from (- 2,16) to (- 1,4). xy dx + (x+ y)dy =

A:

Q: 1 Given f(x) %3D (x + 1)(1 +2x)x3 Find f'(x).

A:

Q: With the throw of two dice, what is the probability that the sum will be a prime number?

A:

Q: or Divergence applies to en +2 Σ n=1 n*+6

A: We have to choose the correct option from the given options according to the given information

Q: FIND THE LENGTH OF THE CURVE y = In sec X from X = 0 to X = - 4

A: Given curve is y= lnsecx .  We have to find the length of the curve from x=0 to x=π4. Length formula…

Q: b) Is the series is convergent n2 + Vn2 + 33n + 10 n=1 or divergent? justify your answers.

A: Limit Comparison Test : Suppose we have two positive term series ∑ an and ∑bn .And suppose that  L=…

Q: Valuate the following integ 1 fcos' 2xdx 1.

A: Solution: As per our guidelines we are supposed to answer only? One question ( if there are multiple…

Q: EXERCISE 4 Find Vf(P) and D7f(P). (a) f(r, y, 2) = y² + z² – 4xz; U = } i – § j+ ; P(-2,1,3) %3D (b)…

A:

Q: 2 cos 2" da 10. In 2

A:

Q: Question #8 C15: “Find the approximate or exact value of a definite integral using rectangles and/or…

A:

Q: Complete the table by Identifylng u and du for the Integral. u = g(x) xp (x),6 = np | (tan(x)…

A: We have to find the integral

Q: En=1" Vn sin а. 1 b. 2 c. Converge

A:

Q: solve

A: We will solve the integral.

Q: 8. A limit exists if both the right-hand and left-hand limits are equal. 9. The acceleration…

A: Given :   Limit rule, acceleration, quotient rule

Q: 3, 7 12

A:

Q: Let f (x) = 1(1 2 2 +4. Evaluate f(-8). f(-8) = Number

A: Given f(x) = -½(½)x + 4 We have to find f(-8)

Q: What is the quotient when 4 + 8i is divided by i3?

A:

Q: 3 Given the curve y= x and the line V= 4x in quadrant 1 Find the area of the region bounded by the…

A:

Q: Find all values of x and y such that Px(x,y)=0 and Py(x,y)=0 simultaneously.   P(x,y)=…

A:

Q: B. A certain culture is able to sustain 100 colonies of bacteria. Initially, there were 10 colonies…

A: We need to find colonies after 24 hours.

Q: (x) = Vxcl

A:

Q: * Find dy for the following function: O In 2X e 4. - 23+ 1 |

A: Note: As per our guidelines, we are restricted to solve only one question. Please upload separately…

Q: In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and…

A: Topic = Probability