Use the method of Lagrange multiplier to find the absolute maximum and absolute minimum values of the function f (x, y) = x²y on 200x + 50y = 3000.

Q: 3. Use Gauss-Jordan Method to find the solution of the system of equation below. Enclose the Gaussia...

A: In this question we have to find the solution of the system of the equation using the Gauss-Jordan M...

Q: c). Classify the equation below with all the possible characteristics and properties of a differenti...

A: General form of Linear differential equation of first order and first degree is given by dydx+yP(x)=...

Q: What is the integrable form of sin-cos-sin0 de 2 2 du 2 1– u² du cosu du -2 sinu du

A: To write the integrable form.

Q: Determine whether the definite integral converges or diverges and evaluate it if it's convergent im...

A: ∫0∞ xx+1dx

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

A: In this problem:the time to go stone to the highest point from roof = the time for stone to go from ...

Q: Find the equation of the circle with center at (3, -7) and diameter equal to 4 points 8 units. * x? ...

A: standard form of circle

Q: Let f(x)=4x^2lnx f'(e^3)=

A:

Q: 2- sec?x)emsec³x sec (3A – x) eln (x/c) What should be the value of A for dx to be integrable using ...

A: To solve the given indefinite integral. 

Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: 17. A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 9...

A:

Q: Transformation by Trigonometric Identities Evaluate: integral of sin^12 2x cos^7 2x dx. Use the guid...

A: Let I is the value of Integration.

Q: 1. List the first five terms of the sequence (-1)"-1n An n! + 3 n > 1.

A: We have to find first 5 term of Given sequence.

Q: 3 8. f (t) = (10t)z %3D 9. f(t) = tg'(t)

A: Given  f(t)=10t32 To find Laplace transform: 

Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

A:

Q: In (n/e) S(2- sec?x) m® sec³x -dx What should be the value of A for to be integrable using the formu...

A:

Q: Find the vector component of v = (4,–1, 7) along b = (1, 4, -8) and the vector component of v orthog...

A: Given: v=4,-1,7 & b=1,4,-8   We know that; The expression for the vector projection v onto b is:...

Q: 6) Solve the following inequalities. a) x³ – 7x – 6 < 0 b) –2x³ + 8x² – 8x < 0 - -

A:

Q: 1-cos 3t 1. Evaluate lim by constructing table of values. 3t t -1 -0.5 -0.01 -0.001 f(t) 1 0.5 0.01 ...

A:

Q: dx For (x+x³) (x Tan-'+1) =»[F(x)]+C. What is F(/3) if C = 0?

A:

Q: Cost and Revenue functions C(q)=q3−11q2+55q+5000 and R(q)=−3q2+2500q​, what is the minimum marginal​...

A:

Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

A:

Q: Let {an}=1 be a convergent sequence such that a1 = V5 and an+1 V5 an. Compute lim an.

A:

Q: 3. Let V, W and U be finite dimensional vector spaces. Suppose S: V W andT:WU are linear. Show (a) n...

A: 3. Let V, W and U be finite dimensional vector spaces. Suppose S : V→W and T :W→U are linear. Show(a...

Q: . What is F(/3) if C = 0?

A:

Q: Evaluate the integral. Answers should be expressed as an integer (no decimals), no spaces, no units....

A: In this question we have to evaluate the given Integral.

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A:

Q: Find the center of the circle 4x? + 4y?+ 24y – 4x – 35 = 0. O (3, 1/2.) O (3/2, -3) NONE OF THESE O ...

A: Given the equation of circle  4x2 + 4y2 + 24y + 4x - 35 = 0 We need to find centre of circle. As we ...

Q: 6) yo Do° (7C +2)"

A:

Q: (1 point) Evaluate the iterated integral by converting to polar coordinates. NOTE: When typing your ...

A:

Q: dx - = In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-lx+ 1)

A: Let's find. 

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

A:

Q: 10* -dx may be written as Aln secB*+ tanB*|+ C, where A, B, and C are constants not equal to zero. E...

A:

Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

A:

Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.  

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft3. If the...

A:

Q: if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33 sq...

A:

Q: 1dx

A:

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 80,000 – 900p ...

A:

Q: n (a) an = (-1)" n+1 (b) an Vn +1 In(n®) (c) an = 2n

A: This is a problem of series and sum calculator. By using several available method we will determine ...

Q: Find the general solution to this homogeneous equation using the auxiliary equation method y”+ 4y’ +...

A: The given differential equation is  y''+4y'+8y=0.

Q: 4) Factor fully. a) x3 + 4x² + x – 6 b) 2x3 – 9x² + 7x + 6

A:

Q: has

A:

Q: Consider the points A(2, –3, 3), B(3, -5, 0), C(-3, –-4,0), and D(3,3, -6). | (a) Find the volume of...

A: Note: According to our answering guidelines we have to answer only one question if multiple are post...

Q: sec. sec A x2 + 1 x2 +1 2x Option 1 Option 2 x² – 1 x2 – 1 - 2x Option 3 Option 4

A: Given secA+tanA=x To find secA:

Q: I Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, d...

A: maximize the function

Q: 1. Use calculus to compute the integral / (3r + 5) sin(r)dr. 2. Use calculus to compute the integral...

A:

Q: Show that the equation x – 18x + c = 0 has at most one root in the interval [-2, 2].

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

A:

Q: /(2- sec?r) eln)gsec'x (2– What should be the value of A for -dx to be integrable using the formula ...

A:

Q: ( (cos(2r) – sin(2x)cos(2x)) -dx =. For +C. What is F (x)? cos(x) – sin(x)

A: