dw dw Find ду at the point (w, x, y, z) = (75, – 1,2, – 3) if w = 3xy + 3yz- 3z° and x2 +y? +z? = 14. ду and dw ду X (Simplify your answer.) ду (Simplify your answer.)

Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

A:

Q: 2) 2x2 csck) dy d X M) y'= Xe'Vx-2

A:

Q: Find T(t) and N(t) at the given poi: x = e cos t, y=e' sin t, z = %3D %3D T(0) = N(0) = %3D

A:

Q: 3. Find the equation of the plane tangent to xyz + x² – 2y² +z' =14 at (5,–2,3)

A:

Q: H.W: Evaluate the integral 3 0 | (x?y- 2xy)dydx 1. 0 -2

A:

Q: I. INDETERMINATE FORMS: Evaluate the limit by employing Theorem 23. f(x) f'(x) lim = lim Equation 1…

A:

Q: Plz

A:

Q: Given u = ( 5, -3, 8) and v (k, 2, 4) calculate k, by using only vector | = 2 7| concepts, where…

A: Topic = Vector

Q: If y= In Cschx + coth y Biod dy

A: Given: y=lncschx+cothx

Q: ​(A) Find the average value of the function over the indicated interval.   ​(B) Graph the function…

A:

Q: 4. If the larger of two numbers is subtracted from six times the smaller, the result is 20. If twice…

A: The detailed solution is given below Thank you

Q: Compute the given improper integral. Enter the exact value of the answ 13 1 dx x² – 25

A: Here we have to find the exact value of ∫5131x2-25dx=?

Q: Solve the differential equation Bernoulli Equations: dy + бу — Зху3 dx 4 3xys

A:

Q: Evaluate the line integral / (6x + 2y)dx + (x – 7y)dy along the 10 cos t, y in (0 <t: curve C: x =…

A: A detailed solution is given below.

Q: dx 14-9.x2

A:

Q: Evaluate Soni Sm e" sin(e")e dædy cIn 1

A: Integral

Q: sečxdx ztanx 5-9tarix ansi sin 2

A: Solution is done in step 2

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at…

A: tan-1(xy)=sin-1(9x+9y)differentiating w.r.t. x;   11+(xy)2ddx(xy)=11-81(x+y)2ddx(9x+9y)…

Q: 5 and 6 8 and the angle between a and b is 0 = 75°. Given a a. Construct a well labelled diagram for…

A:

Q: Q6 Find dy, if y= +++

A:

Q: for x[z] given by z1 x[z]: 1-z2 then X[00] equal to Select one: a. 0.5 b. 0

A: B is the correct option.

Q: .1//7 7 arccos x x² dx V1- x 1 –

A:

Q: 26) In Problem 26 and 27, given f(x)dx= - 1 J g(x)dx= 2 and S f(x)dx= 3 a a d. Find f" f(x)dx + S*…

A:

Q: Find the vector projy u. u = 3 i - j+ 3 k, V = 2 i+ j+ 2 k

A: We want to have projection vector. Projection of vector u on v is given by u.vvv⏞

Q: 4.)(4D3 + 28D² + 61D + 37)y = 0

A:

Q: 6. lim (sinx)*

A: u =eln u, then:limx→0+  (sin x)x  =limx→0+  ex ln(sinx)=limx→0+  eln(sinx)1x=elimx→0+  ln sin(x)1x

Q: 1. Find the area enclosed by the given curve, the x-axis, and the given ordinates (a) The curve y =…

A:

Q: Graphs of Logarithmic Functions Formulas for the Graphs 5- a. f(x) = – log,(z) 4- b. f(æ) = log,(x)…

A:

Q: (a) / 6(6x + 7)°dx

A:

Q: ind the volume of the shaded region when revolved about the indicated axis. 21 * = V7+y 14

A:

Q: O5 D Set yp but do not evalvate em integral that represent3 the volume of the solid of…

A:

Q: 1 for convergence, you can use the P-test. (You k2 k=1 To test the series could also use the…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of i | sec?(e) tan°(e) de

A: Topic:- integration

Q: Question 1 Give an integer a E Z which makes the following equality true for y = x". 7 log.ry (y) 8…

A:

Q: 465.98 23.98 2.789 56.09 ATATA TTA TA

A: Rounding up

Q: For the rational function f(x) = find the following limits and identify the type of asymptote that…

A: Given: Rational function: f(x)=4x-1x+9

Q: Find V x (V × F) if F(x, y, z) = xyj+ 6xyz k. V × (V × F) =

A:

Q: 47. f(x) = V(3 – x) on [1,3]

A:

Q: Solve the following IVP: X' = AX + f(t), where 4- (; 7) 5 -3 1 1 and () 4 X(0) 2 f(t) = -3et e3t

A:

Q: 5. Use a Maclaurin series derived in class to obtain the Maclaurin series for the given function.…

A:

Q: Question 6 Find the area, A, of the region enclosed by the cardioid r = 8 + 8 cos 0. 48 n 96 n 52 n…

A:

Q: F(x) = (3t +2) dt +2

A:

Q: dx V1-e2x

A: A detailed solution is given below.

Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas…

A:

Q: ,2 dy 2х dy + 2 dx -9 —D 12х — е dx?

A:

Q: Question 22 Solve the problem. Calculate the area of the parallelogram with v = (-6, 0, -6) and w=…

A: solution

Q: Solve the differential equation Integrating Factor by Inspection: (2y – 3x)dx + xdy = 0

A:

Q: Solve the following differential equations of cos (y) y'+sin(y) = x

A:

Q: 6. Write an expression equal to log3(4) + log,(5) |using at most one log. 7. Give one example a that…

A:

Q: The company can sell the item for $90,000 each. a) Write a cost function C(x) and a revenue function…

A: Given query is to find cost function, revenue function and profit function.