Find the extremum of z =x + y subject to x + 5y = 4. Set up the Bordered Hessian matrix to determine whether the function reaches a constrained minimum or constrained maximum. (

Q: (1) [. | Solve the initial-value problem y" – 5y + 6y = 0, y(0) = -3 and y (0) = 2 %3D %3D %3D

A:

Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: Find the area bounded by y = x + 4 and y = x2 - 2.

A:

Q: p(x) = sin x cOs x Select the correct response. O tan x O cos? r- sin? x ,2 COS" X O sin x - x cos²…

A: p(x) = sinx/cosx here if sinx*cosx then any of the answer is not possible so the question is  p(x) =…

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (7t + 6)i + tj, 0st<1

A:

Q: Solve

A:

Q: Find the area enclosed by the curves y=2x², y=2\/x ,x=- and x = 1 4 (A) 45/51 (B) 49/96 59/76 (D)…

A:

Q: *xp: Evaluate the integral Jī+x

A: The given integral is: ∫x1+xdx

Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

A:

Q: Question 9 of 10 q(x) = eª lnx %3D Select the correct response. O e In x - + eª ln x et +1

A:

Q: . Determine the Total Area bounded by f(x) = x´ – 1 on the interval [- 2,2].

A:

Q: 3. Determine the differential coefficient of y =-+2x – 3 when x = 7 4. If f(t) = 3 sin(4t + 0.12) –…

A:

Q: I. Evaluate f V A 4x + 4x + 5dx

A:

Q: 1. Find the area bounded by a curve y? = 9 - x and the y - axis. %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1) An automobile traveling at the rate of 20 m/s is approaching an intersection. When the automobile…

A:

Q: Find the area of the shaded region. The y=- Consider c=64. Enter the exact answer. ver. Area

A: To solve the following problem

Q: If a > b, it is possible to have log,(a) < log.b). (As usual with logarithms, a and b are positive…

A:

Q: 14. dy, where C: x = t, y = t², for 1 <t<2

A: Here, to evaluate: ∫Cxydy=∫12tt2(2t dt)=2∫12dt

Q: A rectangular parking lot with a perimeter of 440 feet is to have an area of at least 7000 square…

A: Let length =l Breadth = b

Q: d d alculate dt r:(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt ne product directly…

A:

Q: 1. S 7e*dx 2. S(5e* 6*)dx 3. § 3(5*)dx

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the integral aV3 +5 dx. 1 (a) ;(²³ + 5) + C 1 (c) - (22 + 5)을 + C (b) –;(2³ + 5) + C 1 --…

A:

Q: dy xe dx to

A:

Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis.

A:

Q: da. Evaluate the integral Ja2 + 25 1 (a) -( :+ 25)을 + 25(교2 + 25)을 + C (x2 (e) * + 25) + * + 25) +C…

A:

Q: х3-х-1 4. S (х-1)(x?-х)

A: To evaluate the given integral.∫x3-x-1x-1x2-x dx

Q: cos 2ot) Wheré w iš a -3(1-cosh 377t) 4.

A: Given problem :- 4.  -3(1-cosh377t)/t  Find laplace transformation of given f(t) function

Q: If logx y = 100 and log2 x = 10, then the value of y is: O a. 2 to the power thousand O b. 2 to the…

A:

Q: Find the maximal area of a right triangle with hypotenuse of length 2.

A: Given:     Hypotheses length = 1

Q: f(2) = - 4z' - 2 a) Determine the intervals on which f is concave up and concave down. f is concave…

A:

Q: Find the arc length of the parametric curve. x = e', y = e, z = v2t; 0<t< 9

A:

Q: HimilFind the akeas fak the folfewing regions Area of theregion insidethe circle (r=1)and outside…

A:

Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

A: Here, the exponential model is: A=A0e-kt...(1) Now, given that A0=300 mg. So,  A=300e-kt...(2)

Q: Find the arc length of the parametric curve. = 4 cos(t), y = 4 sin(t), % = 3t; 0 < t < T L =

A:

Q: 2 Evaluate the foltawing cartesian integrats by changing them inte equivalent Pelarintegrals: 2. 4-…

A: in polar coordinate x=r cosθy=r sinθ

Q: dr 4.

A:

Q: Find an equation of the tangent line to the graph of y=g(x) at x=5 if g(x)=-6 and g’(5)=2. Answer…

A: We have to find equation of tangent line

Q: Given that yı = 3e is a solution of the differential equation y" + 3y = 0. Then, by using reduction…

A: Here we have to use reduction of order.

Q: 1- 2x2 - cos 2.x 3. Use the Taylor series to evaluate lim DO NOT USE L’HOSPITAL'S RULE. x4 Evaluatee…

A:

Q: For what values of a, if any, does the series shown below converge? 00 a 2 Σ n+6 n+9 n= 1 Select the…

A:

Q: 6. A whale is swimming on course due west at 20 miles per hour. The water is moving at 7 miles per…

A:

Q: If a > b, it is possible to have log,(a) < log,b). (As usual with logarithms, a and b are positive…

A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

Q: 2. Find the Taylor series for the following functions centered at the given value a. Also find the…

A:

Q: sin 4x2 lim 1 cos 6x

A:

Q: dx 1-S; 4+x2

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: 15 / 17 116% C. Directions: Solve for the derivative of the following functions using the indicated…

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A:

Q: 2-fx'e-2x* dx

A: To evaluate: I=∫x3e-2x4dx Substituting x4=u⇒4x3dx=du⇒x3dx=du4

Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. (A)…

A: To find the area of the region enclosed by the two curves.