Find div F and curl F if F(x, y, z) = 7y°z*i – 11xz'j – 6xy°k. 5.7 div F= curl F=

Q: As you will show, exponential growth functions ekx always dominate power functions x", and power…

A:

Q: Find the Laplace Transform of the following functions: a. L(sinxcosxe*} b. L{

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: Given L f(x) dx = 16 and i g(x) dx = 8, Evaluate the following I [2f(x) - 3g(x)] dx

A: Given query is to find the value of the indicated integral.

Q: -4 = ニ 200

A: To solve for x using the the given equation.

Q: -945° is equal to i radians. (Type your answer in this format: a*pi/b where a and b are integers.)

A:

Q: xdy + (y – cos x)dx = 0, y (- = %3D

A:

Q: 6. Consider the DERIVATIVE f' graphed below. Sketch a possible graph of the original function f on…

A:

Q: If x + 1 f(x) then find the global minimum of f on the interval [1, c∞)

A: Given; f(x)=x^2+1/x

Q: Utilize the Lagrange multipliers method to maximize the function f(x, y) = 8x + 18y - 10x2 - 4y2…

A: The given function is  f(x, y) = 8x + 18y - 10x2 - 4y2…

Q: 3. Compute f(x)dx 2х if x<1 f(x) = { 4 if x21

A: As we know from the property of the definite integral. ∫abfxdx=∫acfxdx+∫cbfxdx And The Power rule:…

Q: dx 00 2 X х +4

A:

Q: 20. Evaluate the limit lim 213

A:

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

A: area under the curve

Q: A. Sketch the figure for analysis. Shade the needed region and draw a representative vertical or…

A: Here, the region is bounded by the curves: x=4, y2=x

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. e-4x²…

A:

Q: Verify Green's Theorem by evaluating both integrals ON aM | y? dx + -x² dy dA ax ay for the given…

A:

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: Consider the piecewise-defined function Jr+3, |1- x, x 0. (a) FUNCTION, so it must pass the…

A:

Q: find (2n +1)! = 120

A: Here we have to find the value of n.  2n+1!=120

Q: Use a change of variables (Substitution Method) to evaluate the following definite integral. Show…

A:

Q: 8 3k - 5 Σ is equal to k=1 2 A) 46 в 38 c) 34

A:

Q: 3+ 12x4 – 7x +x³ a) lim 2л2 — За3 + х — 424 3x3 +x – 4x4* - -

A:

Q: H.W (5) Solve the following differential equations of ay (6x-y+3)dx+(3y' -x-2)dy 6) Integration…

A:

Q: he curvature and the radius of curvature at the stated point. r(t) = 3 cos(t)i + 4 sin(t)j + tk; t 2…

A: Please refer to the image below

Q: A model for the length of daylight (in hours) in Philadelphia on the tth day of a particular year is…

A:

Q: - x = (y – 2)²

A: The question is a bit unusual, because, the given equation is not a cylinder.  Instead the equation…

Q: (2) Prove that for any integer L () NTX / sin? dx = L. L -L

A: ∫ cos(ax) dx = 1a sin(ax) +C

Q: Evaluate the integral / (2x + 6y)dx + (15x – y)dy a C arc y = x² from (0,0) to (1, 1). NOTE: Enter…

A:

Q: Sx+11x+2 dr x(x+1) Zln|x| + 3 In|x+ 1| +C 2łn]x| + 3 In|x +1|- Option 1 Option 2 2ln|x] + 3 Inx+ 1|…

A: We can solve this as follows:

Q: The progress of a person on a long hike is shown in the graph. 9. D 8 - 7- 6 - B 2- 1- 5 7 8. Time…

A: The given graph is distance against time ,  where distance is marked on y-axis and time marked in…

Q: test conerg ence and divergence h!

A: We can solve this as follows:

Q: 25. dx is 1 (B) (©) ! (A) 2e (D) (E) divergent

A: see below the answer and calculation

Q: Show your work to determine the derivative of f(x) = (-1/x2 + 1/2 x2)(√x - 3x4). Do not simplify…

A:

Q: Find the derivatives of the following functions: Inx i) y = sin3x? ii) y = e2*cosx iii) y = 3r+5

A: i)y= sin 3x2y' =ddx sin 3x2y' =cos 3x2  ddx(3x2)y'=cos 3x2 (3)(2x2-1)y'=(6x) cos 3x2

Q: 6. Vectors i and v are positioned at 115° to each other such that lü| = 15 and l0| = 7. Determine…

A:

Q: 10 Find div F and curl F if F(x, y, z) = xz°i+ 5y"x²j+ 4z?yk. div F= curl F=

A: Solution:

Q: The measure of an angle 337.5 degrees is equivalent to ra 15 A 4 15n 8 13п 8 13п D 4. B.

A:

Q: 7. a) Find the indefinite integral. (Remember to use absolute values where appropriate) 1 dx 4x -

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: Evaluate the double integral over the rectangular region { 2(* sin(1) – y sin(z) dA; R= {(x,v) : 0 <…

A:

Q: CoS X F 2x 7x

A:

Q: the

A: We will find the derivative.

Q: 1 :? 5+ x² Which of the following is an antiderivative of the function f(x) : %3D (a) 2x In(5 + x²)…

A:

Q: 6) Find the SVD of the matrix by manually calculating U 4 11 14 A = 8 7 -2]

A:

Q: Evaluate the integral: (5si + 9s²j + 10k) ds Answer : i+ j+ k

A:

Q: Verify Green's Theorem by evaluating both integrals aN aM dy dA ду ax for the given path. C: square…

A: Application of integration

Q: (4x - lim (4x – V16x2 + 3x – 5

A: Topic:- limit calculation

Q: For the function f(x) = - 2x-3, do the following. (A) Find the average value of f(x) on the interval…

A:

Q: Evaluate the given integral by changing to polar coordinates.     sin(x2 + y2) dA   R, where R is…

A: