Find the absolute maxima and minima of the function on the given domain. T(x,y) = x² + xy + y² - 9x +3 on the rectangular plate 0≤x≤7, -4≤y≤0 The absolute maximum occurs at (-6,3) (Type an ordered pair.)

Q: Given R(t)=4 cos ti + (1+3cost)j +5sintk. Find T'(t).

A:

Q: B. False 4. Which of the following points is not the point of discontinuity of x-7 f(x)= - ?…

A: Given problem:- Which of the following points is not the point of discontinuity of f(x)= (x-7) /(x3…

Q: 2. ff. x²y dy dx

A: Given

Q: Given the following functions: Find: f(j(x)) f(x) = 3x² - 5x+2 g(x) = 7x² + 3x - 1 2x - 7 h(x) 5x -…

A: Given query is to find the Indicated composite function.

Q: b. The area above the x-axis and below y = 4x - x²

A: Answer (b)  We have to write the area above the x - axis and below y = 4x - x2 as an integral

Q: y=x²

A: In this question we have to solve the question as per question asked.

Q: dx 9-x

A:

Q: Find xer2 dy if dx = y sin x 1-

A:

Q: Q1/ From the following table of values, find the approximate value of f'(1.5): X 1.2 1.7 1.5 0.4055…

A: Given:- To find: f'(1.5)

Q: Suppose that sin(θ)=4/8. What tan(θ)=______.

A:

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

A: Use Taylor expansion

Q: Given R(t) = 4 cos ti + (1+ 3cost)j +5sintk. Find the arc length of the portion of R(T) from t=0 to…

A:

Q: Find the derivative of the function. - 5x - 4 e to y=xe dy dx ||

A: Finding the derivative of the function

Q: Solve the differential equation y"" + y = 3x² + sin x - 2 cos x

A:

Q: 1. If F(x) = ∙e S ex е et² dt, find F(1) and F'(x).

A:

Q: Evaluate the following integrals: 4x 6. ²x3x²y²dy dx 7. p² sin 0 d0 dp Ꮎ dᎾ π/3 π/6 8. (2-y)dy dx 9.…

A:

Q: 1. Find the area bounded by the region y = 3x + 1, x=1, x=3 and the x-axis.  a. 8 b. 11 c. 14 d.…

A:

Q: Find all critical points of the function f(x) = 4x² 3x²-2x+12

A: Here we have to find the critical points.

Q: T Find the linearization L(x,y) of the function f(x,y) = ex cos (5y) at the points (0,0) and 0, The…

A:

Q: 83 −1+1/²/(₁-¹² + e²) Option 2 1-1/2 (e-² + e¹²) Option 4 -1-1/17 (₁²¹ + e²) Option 1 1 + 1/² (e + +…

A: We have to find the inverse Laplace transform of 1s3-s. At first we find the partial fraction of the…

Q: Given R(t) =4 costi + (1+3cost)j +5sintk. Find R' (t). R(t)=-4 sin ti + 3sintj + 5cos tk Option 1…

A: Given: Rt→=4costi+1+3costj+5sintk   As we know the Sum/ Difference Rule: f±g'=f'±g' And…

Q: We know that for some real number k, the function 3ekx is the solution of the second- order…

A: This question can be solved by substituting the value of y in the given differential equation.

Q: Q3/Find the value of xx If the approximation of the integral ff(x)dx by trapezoidal method is given…

A:

Q: 1. Determine the radius of convergence of the series 1 + x/2 + x²/3 + x³/4 +...

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Determine whether the following function is differentiable at x = 9 f(x)=√x²-16, x<9 √x, x ≥9 (a)…

A:

Q: Consider the function 2r²-9r-18 f(r) r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of the…

A: Here we have to find the area under the curve

Q: The solution to the differential equation (DE) y''(x) + c2y(x) = 0 is/are: a. y = esx b. y = a0 +…

A: The given differential equation is;  y''(x) + c2y(x) = 0

Q: 8. Evaluate z (9x² - (0x+6) dx

A: As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C And…

Q: Numbers 10,11,12 please

A:

Q: Solve the DE by Bernoulli's Equation 3 1.6 y² dx - x (2 x³+ y) dy = 0

A:

Q: 2) For hyperbola, consider the following graphs * *(

A:

Q: If A = 3ai +4j-k and B = 4i+j-3k, find the value of a if A normal to B.

A:

Q: Find the minimum and maximum values of the function y = 2x² - 12x + 1 on the interval [0, 7] by…

A:

Q: Given R(t) = 4 costi + (1+ 3cost)j +5sintk. Find N(t) at t = = www. N(t) = ----k 10 Option 1 N(t) =…

A:

Q: integral e^u du = e^u+ C. Is it true or false

A: Given query is to find statement is true or false.

Q: Consider the matrices shown below: Compute CT-A 3 07 A = -1 2 E -B C = 13] 3 1 5

A: Given: A=30-1211, C=142315

Q: For numbers 4-5, consider a plane bounded by the curve x = -y² + y +2 and the y-axis. The…

A:

Q: Determine y(4) for y=ax³ +bx+c where a,band care constant. (a) 6a

A:

Q: {CLO-2} Find the linear approximation, L(x), to f(x) at x = xo . f(x)=√10x+9, x = 0 O 10 L(x)=x+3…

A:

Q: 4. Let z = x2 + y³, x = 2st, y = s - t2, s = u", and t = u sin w. Compute for Oz ду and дw ди

A: Let z=x2+y3, x=2st, y=s-t2, s=uw, and t=u sin w.To compute for ∂z∂w and ∂y∂u.

Q: If x + y = 2 , x” + y” = 3 , . Find the value of x(4) + y(4) a. 6.65 c. 8.5 b. 6.55 d. 8.75

A:

Q: Consider the matrices shown below: 1 27 D=-1 01 3 24 Compute tr(DET) 6 E = -1 4 13] 1 2 1 3

A:

Q: For the F(x) function shown in the figure, find P(0≤x≤0.5) F(x) 1 1 2 1 2 1 X

A:

Q: 19. Find potential function for = (3xy, æ³)

A:

Q: X1 (-1, 2) & (-3,0) Y₁ ; X₂ = m m 11 -C Y2 =

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

Q: If A = 3ai +4j-k and B = 4i+j-3k, find the value of a if A normal to B.

A:

Q: This question is designed to be answered without a calculator. Use this graph of function f. y 5+ in…

A: Here, from the given graph the function is continuous at x=0,2,4 but not continuous at x=-2 because…

Q: SCcos2x + 2sin x)² dx

A:

Q: he point  P(8, −3)  lies on the curve  y = 3/(7 − x). (a) If Q is the point  (x, 3/(7 − x)),  use…

A:

Q: solve the differential equation 2) 2x² dy dx csc (X)

A: