Evaluate the function at the given value of the input r6) = -9 p³ – 2 7 + 2, tmd r (-). O1.375-

Q: 4 For which values of a e R is the function f(x + iy) = (a²x – axy)+ i ax? + ay an entire function?

A:

Q: Let T: RP → R be defined by T() = Aã where -2 3 11 A = 1 -2 1 -1 -3 4 and let 6 %3D What is the…

A:

Q: Calculate M6 for f(x) = v6x over [3, 6]. (Use decimal notation. Give your answer to two decimal…

A: The function isf(x)=6x over [3,6].The number of sub-intervals is n=6.

Q: ind the critical numbers of the function. h(t) = t3/4 − 6t1/4

A:

Q: The range of the function f(x, y) = 6 – V9 – x2 - y? is O (-∞, 6] O (-0, 3] O [3, 00) O [6, 00) O…

A: Given:     f(x,y)=6-9-x2-y2    Range of the function is         9-x2-y2≥0          9≥x2+y2…

Q: Let f : Z4 →N be the floor function f(x) = [(x – 1)/2]. | (a) Compute f(2) and f(21). (b) Is ƒ…

A: As per company guidelines we are supposed to answer only first three subparts of one question. for…

Q: The domain of the function g(t) = vt – 2 is O R-{2} O [2, 00) O R о (-о, — 2) n (? m)

A:

Q: Let f(t) = (t-6)4 e3(t-6) u6(t). Find F(s)

A:

Q: Consider the function f(x, y) = r²y+ y° - 12y f has ? v at (0,-2). f has ? at (2/3,0). f has ? v at…

A: We can find the answers as below

Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: Q/ Consider the following four points to interpolate for y = f(3.2) using: %3D 1.0 0.1111 2.0 0.0625…

A: We will answer one question. Please resubmit the other question separately to be answered.

Q: b) Find c within the interval [0,4] such that fave = f(c). Round your answer to three decimal…

A: The average value of a function fx on an interval a, b is given byfavg=1b-a∫abfxdx

Q: Calculate M6 for f(x) = v3x over [4,7]. %3D (Use decimal notation. Give your answer to two decimal…

A:

Q: Q1: If f(s,t) = s²t + In(t2-s) find the value of (fsst) a-

A:

Q: -25 -3e c) s+2

A:

Q: Describe the long run behavior of f(t) = As too, f(t) → ? v As t→→∞o, f(t)→→ ? - 4tº + 2t6-3t5+1

A:

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y =

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: 2. Use the graph below to answer the following questions: p4 f(x) f(x)dax а. 8 6 4 7 .f(2r)dr 2 b. 4…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7. For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y =…

A: We have to find the values of m.

Q: 13. Which is the dependent variable in the function d= f(k)= 3k+4? %3D Af Bd Ck D 3 14. Which is the…

A: Dependent variable is the variable which depends upon the input of the function and for each input…

Q: The r.m.s. value of f(t) V2x – 1 across [-2,1] is Answer:

A:

Q: If u = x^2– y^2 where x = 3r – s and y = r + 2s, what is du/dr ?

A: To find du/dr we using chain rule.

Q: Given the function: f(z) = { 4z +1 z<0 14z +2 z20 Calculate the following values: f(- 1) = f(0) =…

A:

Q: Find the values of a, b and c such that the function s(t) = t + at² + bt + c satisfies s" (t) = 6t +…

A:

Q: Evaluate f (t) given t = 1 for 12s-13 F (s) = s(8–1)(s+2) 13 2 11+ e2 O 13 37 2 6e2 O 39e2 –2e3 –37…

A: To solve this question we will use the concept of partial fraction and inverse Laplace transform.

Q: (d) Show that the function T : R² →R² defined by T(Vi,v2) = (Vi – 2, vì + 2v2)

A:

Q: Q2.Let The deswative f ù f CaJ= %3D

A: The objective is to find the derivative of the function.

Q: d²r dz +7- dt + 3x = 0 m dt2 s overdamped, the range of values for m is? Your answer will be an…

A:

Q: Q4: Find fa, fry fx and fy for f(x,y) = e*/y

A:

Q: Consider the function h : Nx N → Z given by h(n, m) = 2n² . m. What is the image of h? Prove your…

A: Introduction: A function has a domain and a range. The domain is the set of all input values of the…

Q: Let T : P2 –→ P2 be defined by T(p(x)) = p(3x + 6) and let B = {1, x, x²}. {1, æ, b c a If [T]B = d…

A:

Q: Describe the long run behavior of f(t) = - (t + 3)°(t + 1)(t + 2) As t → - 0, f(t) –→ ? As t → 0,…

A:

Q: Use the formula to express w as a function of t if w= s/s+6 and s=t2+7 w=?

A: given :ω = ss+6   .... *s = t2+7

Q: Q2: * Q2: y" + ay' + by = f(t) Find a,b and f(t) so that Ypı = et +t? – 1, Yp2 = e2t + t? – 1 %3!

A: Giventhat:¯y+ay'+by=ftand yp1=et+t2-1 and yp2=e2t+t2-1To find:¯a,b and ft

Q: 3. Consider the following function: z = f(x, y) = e²+24 (3x – y)

A:

Q: Let G(r) = (2 - 3t2 + 5t) dt.What is G(4) ? O 35 O 31/2 O 3/2 O 35/2

A: Explanation: G(x)=∫1x(2-3t2+5t4)dt   Integrate this function…

Q: Describe the end behavior (long run behavior) of f(x) = 28 As → →→ ∞, f(x)→ ? As I→ ∞, f(x) → ? v

A: This question can be solved using the concept of limits.

Q: Find the critical X-value to test the claim of <3.2 if n 20 and a=0.01. O A. 32.852 O B. 27.204 OC.…

A: Given information Population standard deviation, σ2 ≤ 3.2 Sample size, n = 20 Significance level α =…

Q: Differentiate the function D = 3 – In p. D' =

A: Here we will differentiate the given function,

Q: Find the convolution of f(t) = e (24) and g(t) S 4, 0 5 (f * g)(t) = %3D

A: we have f(t)=e-2t and g(t)=4,0≤t&lt;50 ,t≥5by the defination of convulation…

Q: Describe the long run behavior of f(x) AS I→ ∞, f(x) → ? v As → ∞o, f(x) → ? ✓ || H 2³

A:

Q: Suppose f(x, y) = xy² + 4. Compute the following values:

A:

Q: What are the critical numbers of the function? f(t)=8(t^2/3)+t^5/3

A: We have to find critical numbers.

Q: Q1: If f(s, t) = s2t + In(t2- s) find the value of (f sst) a-

A:

Q: The range of the finction f (x, y) = In(-x²-+1) is 4 O None of these O [0;1] O (*;0] O [0; +**)

A: Note : the range of a real values logarithmic function is the set of all real numbers. i.e. (-…

Q: a) Find the domain and range of the function f(r, y) = Vy – 4+ SUTM 1 UTM x2.

A:

Q: Given f(x, y) = - 5a* + 4x?y? – 3y', find | f-(x, y) = fy(x, y) = faz (x, y) = fry (x, y) =

A: Please refer the attached image for complete solution.

Q: The Cobb-Douglas production function f(x, y) = 35x0.30y0.70 gives the number of face masks…

A: Given  f(x,y) = 35 x0.3y0.7 Where x is invested labour and y is the invested capital.

Q: Find the value of x given that s // t 10. m24 = 77°, mZ8 = 4x + 57 (メン5 11. m23 = 5x + 13, m25 = 53°…

A: Given  s//t