Find the partial derivatives and for ду f(x, y) = x5 + y6 + x*y5

Q: Use a calculator’s factorial key to evaluate the expression: 54!/(54 - 3)!3!

A: To evaluate54!54 − 3!3!

Q: Graphing curves Graph the curves described by the following functions, indicating the positive orien...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: What does the Squeeze Theorem say?

A: In the calculus theorem are used to simplify the expression given or to simplify the complex mathema...

Q: Explain the Chain Rule for two independent Variables ?

A: Chain rule for two independent variables: Let x=gu,v and y=hu,v be two differentaibel function of u ...

Q: Perform the indicated operation(s) and write the result in standard form. 5√-16 + 3√-81

A: The given expression is 5-16+3-81

Q: Use a table of integrals to find the indefinite integral ∫arccot(4x − 5) dx

A: To evaluate the indefinite integral , ∫cot-14x-5dx Solution: Let us substitute 4x-5=t , differentiat...

Q: find dy/dx by implicit differentiation yetan-1 x = 2

A: y·etan-1x=2

Q: While integrating[(x² – 3 ) Inx dx by integration by parts we get the value of v = a. 1 O b. x2 - 3 ...

A: Solution: Given ∫x2-3lnx dx

Q: If f is the (constant) focal length of a convex lens and an object is placed at a distance p from th...

A: Given,1f=1p+1qwhere f is focal lenrth and an object is placed at a distance p from the lens and its ...

Q: x +6 x2 – 6x +9 The given proper fraction can be resolved int partial fraction of the form O a. Ax +...

A: Explanation of the solution is given below....

Q: Evaluate piecewise function at the given values of the independent variable.

A: hx=x2-9x-3   if  x≠3    6       if  x=3 a). h5=52-95-3    ∵hx=x2-9x-3 if x≠3, here 5≠3=8 b). h0=02-9...

Q: What is the principle root of √6 ? a) 3 b) 6 c) 36 d) 2.44948

A: We have to find principal root of 6. We know that a b=a×b if a and b are positive numbers. Thus we c...

Q: Find the area of the region between the curve y = 21-x and the interval -1≤ x ≤ 1 of the x-axis.

A: Given: y=21-x, -1,1

Q: Let lim f(x) = 16. Use the limit rules to find the following limit. %3D x-3 lim vf(x) lim Vf(x) = 3 ...

A: Solution: The objective is to find the limit

Q: Use a graphing utility to graph each function and its tangent lines at x = −1, x = 0, and x = 1. Bas...

A: Given function is fx=x2. Differentiating the given function with respect to x, f'x=2x Now at x=-1 f'...

Q: Find div F and curl F. F (x, y, z) = 5e" i – 7 cos y j+ 3 sin²z k 5e* i –7 cos y j+ 3 sin z k Enter ...

A:

Q: Let x = 4.99999... (a) Is x 5 x = 5 x < 5 and x = 5 It cannot be determined. (b) Sum a geometric se...

A: Consider the given: x=4.99999…a)Integers have two decimal representatives4.99999…≈5Hence,x=5

Q: Use the given substitution to evaluate the following indefiniteintegrals. Check your answer by diffe...

A:

Q: Find parametrizations for the line segments joining the points. Draw coordinate axes and sketch each...

A:

Q: Evaluate x*zdx – yx dy + 6 dz along C the curve C shown in the figure. A Z 2 2 y 2 x.

A: By making it in to three sub curves we integrate and add the results then we will ge the answers 

Q: Integrate by parts:

A:

Q: 71-74 - Exponential Equations Use a calculator to find the solution of the equation, rounded to six ...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Find the limit of the following sequence or determine that the sequence diverges. {((-1)n)/(2n)}

A: To Find  The Limit of −1n2n

Q: Verify the identity: (csc t - 1)/cot t = cot t/(csc t + 1)

A: Verify the identity: csc t-1cot t=cot tcsc t+1

Q: Verify the identity:( tan θ cot θ) /csc θ= sin θ.

A: We have to verify the identity: tan θ cot θcosec θ=sin θ We know the formula of trigonometric functi...

Q: (a) Prove that the equation has at least one real root.(b) Use your calculator to find an interval o...

A:

Q: Verify that the two planes x − 3y + 4z = 10 , x − 3y + 4z = 6 are parallel and find the distance bet...

A: Verify that the two planes x − 3y + 4z = 10 , x − 3y + 4z = 6 are parallel and find the distance bet...

Q: Solve  y"-9y'+14y = 0

A: We have to solve  y" - 9y' + 14y = 0  (D2 - 9D + 14)y = 0 The auxiliary equation is  m2 - 9m + 14 = ...

Q: Solve the following system dx -4x + 2y dt dy = -x - y dt

A:

Q: Find the zeros for the polynomial function f(x) = x3 - 2x2 + x and give the multiplicity for the zer...

A: Given function is fx=x3-2x2+x.  fx=x3-2x2+x=xx2-2x+1=xx-12 Zeroes of the polynomial will be: xx-12=0...

Q: Simplify : [3/(x - 2) - 4/(x + 2)]  ÷ 7/(x2 - 4)

A: Given:                                                          3x-2-4x+27x2-4              Simplify...

Q: The graphs of f, f′, and f ″ are shown on the same set of coordinate axes. Identify each graph. Expl...

A:   Consider one of the given graphs of quadratic function fx  From the graph, it is clear that there...

Q: Find ∫x2 ln x dx.

A: To integrate: ∫x2lnx dx Integration by parts states that: ∫uv dx=u∫vdx-∫ddxu∫vdxdx Integrating the g...

Q: Let F = curl(A). Which of the following are related by Stokes' Theorem? (a) The circulation of A and...

A: Given- F=curlA To Find- The stokes theorem regrading the above expression. Concept Used- Stokes’ the...

Q: Graph the following functions. Then use geometry (not Riemann sums) to find the area and the net are...

A: Given: y=3x-6, x∈0,6 for finding areaA bounded by given curves, first we draw graph of bounded regio...

Q: Find div F and curl F if F(x, y, z) = 17y°z*i – 8x°z°j – 3xy°k. „6: div F= curl F=

A: Given that: F(x,y,z) = 17y3z4 i  - 8x6z6 j - 3xy3 k To find: Divergence (div) of F Curl of F  

Q: Evaluateſ dx xlogxlog(logx)log [log(logx)]

A:  

Q: In interval notation, [2, 5) represents the set of real numbers between______ and_______ , including...

A: The given statement is, In interval notation, [2, 5) represents the set of real numbers between_____...