The marginal cost of manufacturing a certain product is 13 + 0.036x. If the cost of producing 250 units is dC dx R5000, the cost of producing 400 units is R

Q: Determine the equivalent effective rate of a money compounded continuously at r=5%.

A:

Q: For what value of a, we have 0= . You may explain your answer below if you like (optional). Give…

A:

Q: Consider the following ODE system: = x² + xy³ =zy subject to the initial conditions x(0) = 2 and…

A:

Q: 3. Calculate the circulation of A=p coso ap+ z sino a: around the edge L of the wedge defined by 0≤p…

A: Here we have given that, A=ρcosϕaρ+zsinϕaz and wedge is defined as, 0≤ρ≤2, 0°⩽ϕ≤60° and z=0 as shown…

Q: 7. Find the equation of the circle with center (2, -4) and tangent to the y- axis.

A: As per guidelines we are supposed to solve the maximum one questions at a time. plz repost another…

Q: Resume 1.pdf Use Venn Diagram to find answer to this question. In a party we have these people: 35…

A:

Q: There is strong evidence that the first level of processing what we see is done in the retina. It…

A: Using central difference formula of accuracy order 2.

Q: function √x² + y² + 1 x² + y² 2 f(x, y) = 1 if (x, y) = (0,0) 2 2 (x, y) = (0,0). If not, classify…

A:

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A:

Q: Q/// rational numbers is connected or disconnected in R

A:

Q: - (² homogeneous system ty' = 2 -2 Y +

A:

Q: Let {fn} be a sequence of complex-valued continuous functions on CC. If {fn} converges uniformly to…

A:

Q: Instruction: Setup the iterated triple integral that gives the volume of the solid. Do this by…

A: The most important application of the triple integral is evaluation of volume of a solid in three…

Q: You are currently investing your money in a bank account which has a nominal annual rate of 7…

A:

Q: 5. Use Cartesian coordinates to evaluate Jff ² av where D is the tetrahedron in the first octant…

A:

Q: Instruction: Setup the iterated triple integral that gives the volume of the solid. Do this by…

A: Given curves are  z=x2+y2z=9

Q: Find the solution of the following Differential Equation using Inverse Leplace: ý = 4y+3y=0 ẤY >…

A:

Q: EXAMPLE 2: Find the lower and upper triangular matrix of 9 -3 31 B -3 4 1 1 61 3 using Cholesky…

A: We have B=[9-33-341316] which is real symmetric matrix now checkering if it is positive definite…

Q: (a) Solve the first order linear ordinary differential equation dy x sin x- + (sin x + x cos x) y =…

A: We have given a first order linear differential equation ,  x sin(x) dydx + sin(x) + x cos(x)y = xex…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A: First graph the region.

Q: A mass weighting 64 lbs stretches a spring 2 inches. The mass is in a medium that exerts a damping…

A: We must have all the units are in same system

Q: Show that (x + 1)² sin y lim (x,y)→(−1,0) (x+1)4 + y² does not exist.

A:

Q: Considering C is a curve which has the following parametric equations: x(t) 1 = t³ − t+1, C = tER…

A: Given curve is  C=xt=13t3-t+1,yt=t-tan-1t,t∈ℝ

Q: Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse x² 1² +…

A:

Q: The general solution for the linear homogeneous system depends only on the free variables and there…

A:

Q: 3√2 √2 2 2 Consider the polar curves C₁ : r = 4+ cos 0 and C₂ r = 2-- cos as shown in the figure on…

A:

Q: Let S be the surface with equation 4y² + 4z²x² - 16 = 0. +4√3 1. Find an equation of the trace of S…

A: Solution

Q: Given: polar curves C₁ : r = √2- cos 0 and C₂ : r = √2+ sin intersecting at A(³√2, 37) and B(2,7) 2…

A:

Q: Find the complete solution of ds dt = 8t³ √√s. =

A: Here we have given dsdt=8t3S ds=8t3sdt dss=8t3dt ∫dss=∫8t3dt ∫s-12ds=∫8t3dt s-12+1-12+1=8t3+13+1+c…

Q: Consider the points K (−1, 0, 7) and M(1, −2, 5), the vector MN = (1, 4, −3), and the line  I with…

A: We have to solve given problems:

Q: Let S be the surface with equation 4y2 + 4z2 - x2 - 16 = 0 1) Find an equation of the trace of S on…

A:

Q: V. Consider the vector-valued function R(t) = 1. Find the domain of R. 2. Determine if R is…

A:

Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

A:

Q: Write "T" or "F" to indicate true or false if vector v is a linear combination of the vectors in the…

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: u(x, y) and let f and g be twice differentiable functions. The al solution to the equation uy2r + 2y…

A:

Q: Find the area bounded by the parabolas (x-3)² - 16ky = 0 and y² - 16k (x-3) = 0.

A:

Q: Given x = y²+2y 8 - In(y + 1), find the arc length for 0 ≤ y ≤ 3

A:

Q: 2.88x²0.5x + 5 = 0

A:

Q: A 40-m high tower stands vertically on a hill side (sloping ground) which makes an angle of 18…

A:

Q: z = x siny + y sinx

A:

Q: 4. Evaluate the double integral: So So ²1 de +1 (Hint: Change the order of integration to dy dr.) dx…

A:

Q: 4). Use rules of replacement to prove the following: a). (p^~q) (p^q) = p b). (pvq) →→ r = (p → r) ^…

A:

Q: B = 0 -2 12 4 −1 -1 3 4

A:

Q: Thando furniture manufacturer, determines that in order to sell x chairs, the price per chair in…

A:

Q: 3. Use Laplace Transform to solve the initial value problem. y" 6y + 5y=0; y(0) = 1 and y'(0) = -3 -

A:

Q: Let S be the surface with equation 4y2 + 4z²x² - 16 -0. 1. Find an equation of the trace of S on…

A: Solution:S be the surface with equation 4y2+4z2-x2-16=0⇒4y2+4z2-x2=161)Traces of S in the coordinate…

Q: All the following PDEs are nonlinear EXCEPT: (A) Uz 1 U₂ +-Uy= y U (C) Uaz + Uz Uy = 1 (B +u= F zy…

A: We find which of the given partial differential equations is linear.

Q: Area of the Surface obtained by rotating the curve about the x- 0 ≤ x ≤ 1

A:

Q: 2.88x²-0.5x+5=0

A:

Q: Consider the polar curves C₁ : r = 3 (in blue) and C₂: r = 2-2 sin 0 (in red) and let R be the…

A: If f is continuous and non negative on the interval α≤θ≤β with 0<β−α≤2π. Then area of the region…