The sum of digits of integer x is y . the sum of digits of y is z. find x if x+y+z = 60 step by step solutions plz

Q: 11r If F(r) and o is the surface (x – 4)2 + y² + z² = 49 oriented 3 outwards, what is the value of…

A:

Q: Use Stokes' Theorem to evaluate F- dr. F(x, y, z) = xyi + x*j+z?k where Cis the intersection of the…

A:

Q: CAn you give an example with Taylor series approximatio

A:

Q: Consider the change of variable u = xy and v = 3y + 2x and the integral 2.r + 3y – 6 =0 - ||. (2r²y…

A:

Q: dy 1. Find for the following: dr - f. 4x² - 9y² = 36 g. -+-=1 X. y. h. 3x°y+2xy² = 4 i. (3 - 2x)º =…

A: We have to find the derivative dy/dx.

Q: For the graph of f(x) = x-7x² -6x +5, find the value(s) of x for which the tangent to the curve is…

A:

Q: 9. Use the graph of y = f (x) to answer parts (a) – (f). Where applicable, use interval notation. -2…

A: Solution is given below:

Q: parameter t to find a Cartesian equa

A:

Q: —2х Se-2x sin 3x dx

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 6…

A: Given problem:-

Q: uppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. "rove that dy…

A: Given F(x,y,z)=0

Q: Use Green's Theorem to evaluate the line integral (y – x) dx + (2x – y) dy for the given path. C:…

A:

Q: A company that produces cell phones has a cost function of C = 17x² – 444x + 18816, where C is the…

A: Given query is to find the number of units to minimize the cost.

Q: Use Green's Theorem to find the work done by the force field F(x, y) Vyi + Væj on a particle that…

A:

Q: Consider the points below. P(3, 0, 3), Q(-2, 1, 4), R(7, 2, 5) (a) Find a nonzero vector orthogonal…

A: calculation of above requirement are as follows

Q: 4- part 1 Find the derivative of the function f(u) = 4u° 4 - 2u1.8 0.4 %3D = (n),1

A: Differentiate wrt u

Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

A:

Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) = to find k(t). r(t) = e"i+etj K(t)

A: We have to find k(t)=?

Q: 16 Find the constants a, b, c, d, e for the ellipse r = 6+2cos0

A:

Q: A particle's position at time tis given by r(t)= (3t",4t+1,-t). Find a, att=3.

A:

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

A: Solve the following

Q: Find the value of the specified finite sum. Given ak = 3 and bk = 7, find (ak- 2bk). %3D k=1 k=1 k=1

A: We can find the specified finite sum as below.

Q: 3 Find the area of the region bounded by the following:

A: Given r^2=2cos(2θ) , r=1

Q: Use Green's theorem to evaluate F• dr. (Check the orientation of the curve before applying the…

A:

Q: Find the area of the region bounded by the curves x=y3 and y=x2.

A:

Q: 5. show that the equaution sin X-3x+1=0 has only one real root

A:

Q: Solve the following differential equation (6х' — у +3)dx + (Зу* — х- 2)dy

A: Here, i am providing the handwritten solution

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: We have to use the concept of derivatives

Q: Given s(t)= 21+21, where s(t) is in feet and t is in seconds, find each of the following a) v(1) b)…

A:

Q: Draw a graph that does not pass through -8 and 8. Identify 3 points that is continuous at that…

A: Solve the following

Q: If 2300 square centimeters of material is available to make a box with a square base and an open…

A:

Q: 4. For the given function find the local extrema using the Second Derivative Test. f(x) = x³ – 9x2 +…

A: maxima minima

Q: 8 Evaluate for (3x² -7x+4

A: We have to use the concept of derivatives

Q: Write the equation of a sine or cosine function to describe the graph.

A: We need to find equation of sine/cosine function.

Q: Time of Death Newton's Law of Cooling is used in homicide investigations to determine the time of…

A:

Q: Find an equation for the line that is tangent to the caurve y= 3x-3x at the point (-1,0). The…

A:

Q: An object moves with velocity as given in the graph below (in ft/s How far did the object travel…

A:

Q: Find the limit. lim (t i - 7 j+ 1? k) t→3 lim (t i – 7 j+² k) = i+ j+ k i i i

A:

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: Given that the number of bacteria in a certain population increases according to a continuous…

Q: The ellipse shown below has parametric equations x(t) = A cos t, y(t) = B sin t, 0 <t< 27.

A:

Q: 4. [6.1] If vector b is shown below, sketch a vector. a) Equal to b b) Opposite to b c) With the…

A: Solution of given question is written in below steps.

Q: If the roots of a homogeneous DE with constant coefficients were: m1= 0, m2 = 3 & m3 = 2 ± 3i , what…

A:

Q: 6) Determine constants a and b such that f(x) is continuous for all values of x. ax + 3, if x> 5 8,…

A:

Q: Evaluate the definite integral. i+e"j+t k)dt 15t (el3 – 1) i – (e~1 – 1) j +k i- (e - 1) j+, k O els…

A:

Q: * Your answer is incorrect. Use Green's Theorem to find the work done by the force field F(x, y) =…

A:

Q: B. Find the area of the region bounded by the following:

A:

Q: Find the derivative of y(x) = In (8(In(x))'). (Use symbolic notation and fractions where needed.) dy…

A:

Q: geometry to evaluate S V4 - x dx. -2

A: Given : integration gives area under the curve.  let  y=4-x2      y2=4-x2   x2+y2=4   x2+y2=22it is…

Q: dy If dæ 4x³ + 3x? + 6x and y = -3 when x 1, fınd y. |3D

A:

Q: Find a plane through the points (4,-3,-4), (-6,2,8), (3,-8,8)

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.