Match the vector field with its graph. F(x, y) = xi + 3yj 5- 5 -5+ -5+

Q: Find the general solution of the given linear diff eq. y'' - y = cos(x) - 5sin(2x) by VARIATION OF…

A:

Q: 3. Find the 23Td term of the arithmetic sequence whose common difference is d = 4 and whose first…

A: Find the 23rd term of the arithmetic sequence

Q: Evaluate the line integral / (2x + 4y)dx + (2x – 9y)dy along the curve C : x = 4 cos t, y = 8 sin t…

A: Solution is given below:

Q: A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it…

A:

Q: 21 The function f(x) is represented in the following table. Give the best estimate for f(x)dx 3 9.…

A:

Q: Find the moment of inertia of the area bounded by the curve x^2=4y, the line y=1 and the y-axis on…

A:

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

A: Given x=et cost  , y=et sint , z=7 et

Q: Calculus Question

A:

Q: 7. [x' In? x dx (9 In' x- 6 In x + 2) +C Ans. 27

A:

Q: Evaluate the following sum: 3x + cos 2016 + cos (Write your answer in the simplest form, use…

A: The given sum,1+cosπ3+cos2π3+cos3π3+cos4π3+......+cos2016π3

Q: 1 2 f(t) = 3 Vi+1 2. Given SET A. determine f"(t)

A:

Q: Approximate the point of intersection of the graphs of fand g. Then solve the equation f(x)=g(x)…

A:

Q: The point P(8, – 10) is on the terminal side of an angle e in standard position. What is cot(0)? 41…

A: Solution is given below:

Q: 4. (x³ + 3x – 1) dx 2 5. 4x x2 6. SIy + 1) – (y? - 1)]dy

A:

Q: Find r(t) · u(t). r(t) = (7t – 4)i + j + 4k u(t) = t?i – 8j + t?k r(t) · u(t) = Is the result a…

A: Use dot product concept

Q: Find the general solution of y'' - 2y' - 8y = 24(x2+1)e4x by using VARIATION OF PARAMETERS

A:

Q: Use the Newton-Raphson technique to find the value of a root of the equation e = sin 4x. An…

A: Given:

Q: Find all the first and second partial derivatives of the function f(r, y) = x°y – 3y“. %3D

A: Given :f(x,y)=x2y-3y4To find : All the first and second partial derivatives of the function

Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 2. (y – 2)dx + (3x – y) dy =&

A: We can solve this problem as follows:

Q: Given: y = arctan sinh find y' at x = 2 %3| cosh 1 %3D 1+sinh? 1 cosh 1 O y = %3D 1+sinh 1 cosh 1…

A:

Q: Find the sum of the first 21 positive integers. The sum of the first 21 positive integers is

A: We will use the concepts of A.P.

Q: Fill In The Blank Refer to the given below. Find the indefinite integral. Simplify your final…

A:

Q: '글 +2+글 +5 The sum +8+ +11 written in sigma notation is equal to 8 3k-2 A k=1 2 8 3k - 1 B k=1 8 3k…

A: The sum 1/2 +2+7/2 +5+13/2 +8+19/2 +11.

Q: The solid shown in fig 1 has two parallel bases. Plane BFHC forms a dihedral angle 50 degrees with…

A: Aim: To find the area at the midsection of the given figure…

Q: y sin 2x + cos 2y = ax Find y' a – y cos 2x y% = sin 2x – sin 2y а - 2у сos 2x y sin 2x – 2 sin 2y…

A:

Q: d 3 4тe-m? dy -m² dm y

A: Note that, the fundamental theorem of calculus says: If F(y)=∫ayf(m) dm then ddy∫ayf(m) dm=f(y)

Q: Find the general solution of the differential equation. dy = xy + 3x dx

A: To find the general solution of the following differential equation.dydx=xy+3x

Q: पेरडा test conerg ence and divergence

A:

Q: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

A: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

Q: 2r-4-x 2-2r 3 in Ir+1+3Inlx-3|+C +1-3hx-31 +C Option 1 Option 2 2 In Ix + 1-31nlx-31+ C 2 In Ix+ 1+3…

A:

Q: y= e. tan ba Solve for y where a and b are constants. Express you

A: Solving

Q: 29 The measure of an angle 12 radians is equivalent to degrees. (A 555 B) 465 C 435 D 525

A:

Q: Question 2 Find the inverse Laplace transform of H(s) - (;+)-

A: H(s)=1s2-e-s1s2+2s+e-4s4s3+1s L-1{H(s)}=L-11s2-e-s1s2+2s+e-4s4s3+1s…

Q: Evaluate the improper integral |. 3.x dx or show that it diverges. +1 x?

A:

Q: 4. Perform the indicated multiplication of the two differential operators: (D –x)(x²D– 2x).

A:

Q: cos 6x cos 2x dx

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. P…

A:

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

A: To find the volume of the given solid using triple integral.

Q: - 4g° + 1000g, where R(g) is in dollars Suppose a product's revenue function is given by R(g) g is…

A:

Q: Diego knows that 82 64 and that 4° = 64. What other statements are true? O V64 = 8 O V64 = 4 O…

A: We can find the true  statements as below.

Q: Which among the following is false for getting the derivative of an implicit function?

A:

Q: Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2 b.…

A:

Q: Compute f(x)dx f(x) = { 2x if x <1 4 if x 21

A:

Q: If y=f(x) = - 3cos+) + 4 then what is the value of / 2 A) 7

A:

Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x and the…

A: Solution is given below:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: A particle moves vertically (in inches) along the yaxis according to the position equation s(t) = -…

A:

Q: 2. Integrals containing sin u cos v can be solve using identity. (a) Double-angle (b) Half-angle (c)…

A: Let's find.

Q: Which of the following angle measure (in degrees) is coterminal to an angle of measure -690 degrees?…

A: To find a positive and negative angle co-terminal  with a given angle , you can add and subtract 360…

Q: Find the following for the given equation. r(t) = (e-t, 4t2, 9 tan(t)) (a) r'(t) (b) r"(t) = %3D (c)…

A: