Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

Q: A ladder 10 ft long leans against a building. The ladder forms an angle of 60° with the ground. (a) ...

A: Find your answer below 

Q: Given f(x,y) = 4x sin(5xy). Find fy(4,5). Give you answer correct to two decimal places. Answer:

A: The objective is to find the above partial derivative at the point (4, 5).

Q: g) Y2-Y1 X2-X1 h) f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)+x

A:

Q: 6. Given that k is an arbitrary constant, find the orthogonal trajectories of the following family o...

A:

Q: /2 1. Let F(x) = f(t) dt and G(x) g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below. 4 ...

A:

Q: Suppose that 8 J of work is needed to stretch a spring from its natural length of 40 cm to a length ...

A:

Q: Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show tha...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A B, then the distance from a po...

A:

Q: Find tan a dr.

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

Q: Graph the function and find its average value over the given interval. a. g(x) = -|x| on [-1,0] b. f...

A:

Q: 37, b = 55 , c = 43, measured in ya %3D %3D

A: a=37b=55c=43 Perimeter , s =a+b+c2  s=37+55+432 =1352s= 67.5

Q: The table to the right shows the electricity rates charged by Better Than Lightning Utilities in the...

A: Find your answer below 

Q: ds s2V9-s? V9-s2 9s

A: Please refer to the image below

Q: Consider the differential equation dx æ(7 – 6t)e³t dt x + 6 (a) Identify and state the dependent and...

A:

Q: Determine the open disk of convergence and radius of convergence of 2n (z – 1+ 2i)" -n + 1 n3D0 8.

A: Here we have to find the radius of convergence and open disk of convergence. 

Q: Find a set of parametric equations for the line passing through the point (7, o, 9) that is parallel...

A: Parametric equation of line in 3D

Q: Determine the area bounded by the curve y=9x/5 and the line y=x-2 A. 3.43 sq. units B. 6.86 sq. unit...

A: y2=9x5 , y=x-2x=5y29, x=y+2solving both the curves9x5=(x-2)2 9x=5(x2-4x+4)5x2-29x+20=0x=29±(-29)2-4(...

Q: S sine sin (cose) de A. cos (cose) –cos³(cose) -cos B. cos (cose) + cos (cose) +cos (cose) + C C. co...

A: Solving the problem by finding the derivative.

Q: Suppose that a population follows a logistic growth model.  The population in the first year is 21.7...

A: Given:    Data is given

Q: Find the area of the region bounded by y = x^2- 5x + 6, the x axis, and the vert çal lines x = 0 and...

A:

Q: I. Identify the coordinates of the end of the vertices of the major and minor axis and foci of the f...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Solve the following equations: (You may leave your answer in exponential form or logarithmic form). ...

A:

Q: 14) In Problems 12 through 7 , given f(x) and g(x ) are differentiable and continuous everywhere wit...

A:

Q: Decide which of the following properties apply to the function. (More than one property may apply to...

A: Given the function y = 2e-x It is an exponential function.

Q: A hemisphere with a radius of 4 m is used to protect some plants. The thickness of the material is 0...

A:

Q: Evaluate the sums. 6 a. (3 - k²) Σε. k=1 6 b. (k? – 5) k=1 > k(3k + 5) С. k=1

A:

Q: 1. In the figure shown, a vertical triangular gate submerged in a certain liquid with s.g. = 0,85. I...

A: We have to find 'd'. 

Q: d all points on the graph of the function f(I) = 2 sin z + sin z, 0 <I< 27 at which the tangent line...

A: Given query is to find the points where tangent is horizontal.

Q: An inverted conical tank with 14 m height and 7 m radius at the top is full of water. Calculate the ...

A:

Q: A statement S, about the positive integers is given. Write statements Sk and Sk+ 1, simplifying stat...

A:

Q: ydy A) y* +Sy +6 B) x+x²+x+2 x* +3+2

A: use partial fraction method to integrate

Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z2 = 26, (1, ...

A: Given problem:- (a) Find an equation of the tangent plane to the surface at the given point.   x2 + ...

Q: 23-51. Calculating derivatives Find the derivative of the following functions. 36. y = -x cos x + 3x...

A: topic - derivative of the function

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a ro...

A: Here we have to find the total numbers of ways so that they can arrange themselves in a row of coupl...

Q: xdx Evaluate Vx4-16 Vx2+16 Vx2–16 A. + C с. + C 4 Vx²–16 (In In в. + C D. + C 4 O A В O c D

A:

Q: In how many ways can you place 9 different books on a shelf if there is space enough for only 5 book...

A: Given, 9 different books on a shelf and there is space only for 5 books. 

Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D. x²...

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: A circular plate of 9m radius is submerged vertically in a tank of water so that its top is 4m to th...

A:

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = t3,  ...

A:

Q: dy 1. Use logarithmic differentiation to find given that dx sec-1(Vx) 4sech(5x)(log6 x)* y =

A: Given problem:-

Q: xdx Evaluate f: Vx-16 Vx²+16 -16 In In +C In In D+c A. с. (In In + + C In In +C в. D.

A:

Q: Suppose that f and g are integrable and that f (x) dx : :-1 | f(x). h(x) dx = 4 Odx = 5 Use the rule...

A:

Q: The function f is shown below. What is the value of f (x) dæ? Write your answer in simplest form. Gr...

A:

Q: 04: Show that y = 35x - 30x +3 satisfies (1-x)-2+20y = 0 da

A: We have to show y=35x4-30x2+3 satisfies 1-x2d2ydx2-2xdydx+20y=0

Q: 1. Using Logarithmic Differentiation, find given that dr -3 sec-(VT) y = 4"(log21)«ch z'

A: To find derivative using logarithmic differentiation  keep this formulas in mind  log ab= b log a lo...

Q: (a) Express sin(2 cos-1x) in an algebraic form. Furthermore, sketch this function and find its domai...

A:

Q: Determining the average rate of change is equivalent to determining the slope of the to a function. ...

A: We will use the definition of slope of tangent.

Q: Find the equation of the normal line to the graph of e tan(ry) – In(r – 3y) = sin (7z) at the point ...

A: Solution is written in below steps.

Q: What are the advantages and disadvantages of piecewise polynomial interpolation?

A:

Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 67...

A: we have to find the elasticity.