Question# 4 f(x)=x² for 0

Q: 13. The range of the arcsin or sin(x) is: a) (0, 2.7) b)(0, 7 ) ) 0. d) 4 '4 e) 2'2 4

A: 13) Given

Q: Which of the following is true for the graph of Ax) on the interval (0, 2)? (Circle ALL that are…

A: The graph of the function fx

Q: В 6. Sketch a continuous graph that satisfies each set of conditions. a) f'(x) 0 when x >-2, A-2) =…

A:

Q: 6- Determine the domain of the function f(x, y) = In(x² + 2y² + 1) + arcsin Vx - 1 a) D = {(x, y)| 1…

A:

Q: f(1,-2,リミ

A: using substitution

Q: 4.5 Estimate |7 - a dz using 5 divisions and Loft =O00000)-0 Right =O(00000)=C Midpoint = OO000)=0…

A: To estimate  ∫-7-4.5|7-x| dx using 5 divisions and left, right, midpoint, Trapezoid, and Simpson's…

Q: What is the are bounded by the curve y = 6 cos x and the x -axis from x pi/6 to x = pi/2?…

A: Given curve,                    y = 6 cosx bounded by the x -axis from x =π6 to x = π2 The area is…

Q: 3 а) J(x2 + 2х + 3) dx

A:

Q: Evaluate the definite integral So [(sect tant) i + (tant) j + (2 sin t cost) k] dt

A:

Q: (а) (5х* - 4x? +5)dk (b) S(2x+1)(3x – 7)dx

A:

Q: 82. If $y=\arcsin x$, then$$\frac{d y}{d x}=\frac{1}{d x / d y}$$for all $x$ in [-1,1] .

A: Given that, y=sin-1x .......................... (1) Then we get, x=sin y…

Q: The area of the surface obtained by rotating the curve y = 1<xse about the line x = 32 is ** 12 (32…

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Q: Find the arclength of y = 2a + 4 on 0 < a < 4

A:

Q: Which of the following is an expression for the arc length of the curve r(t) = over the interval 0…

A: Given equation of curve is r(t)=2t2+1,2t2-1,t3 and interval is 0≤t≤3.

Q: Find Hhe are length of the graph from A to B 3/2 a) - (V37 - 54 B -80V10 (4,17) b) (5 - 80 1o) f(x)…

A: To find the arc length of the graph from A to B

Q: 3. Answer two of the following three questions: (a) Let f: R→ R be a function defined by f(x) = Is f…

A:

Q: Find the arc length of the graph of (v-1)³ = x² 1 <y<5.

A: Given that y−13=x2 and 1≤y≤5. We have to find the arc length of the graph of y−13=x2 and 1≤y≤5.…

Q: Sketch the level curves of the function f(x, y) = = I x+y for c= -6.

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: 1 = (x + ¹)² + ²2(x + 1)² (2) Calculate the arc length of y = over the interval [1, 4].

A:

Q: Use simpsons rule  with n=4 to approximate the arclength of the graph y=x2+x+3 from A(-2,5) to…

A:

Q: 3. Find the work done by F over the curve in the direction of increasing t. = (2,x, y) = (sin t, cos…

A: Write the vector field F=zi+xj+yk The equation of the curve. rt=sinti+costj+tk Differentiate…

Q: 31) Find the shaded Area A between two curves ftop(x) = 6 – x2 and gbot(x) = 2, over [0, 2] as shown…

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

Q: Find the arclength of y = 2x - 1 on 0 ≤ x ≤ 4

A:

Q: Comlex Analysis, only need part d.

A: The function is

Q: Q3/ If f(x)= x=2x+1 X71, a=2 Find the followings; a) f(x) = x b) show that f(f(x)) = f (f(x)) c)…

A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…

Q: Find the arclength of y = 4x + 3 on 0 < x < 2

A:

Q: 1 Q #8 Using implicit differentiation, prove (arctan x)' = - Similar to proofs of (arcsin x)' and…

A: The given data is: Using implicit differentiation, prove arctanx'=11+x2

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.