Given f(x) 2x + 5 x + 8 > verify f'(x) = a) State the domain of f(x): b) State the domain of f'(x): 11 (x+8)² using the definition of the derivative.

Q: xy dx - (x + 2y)² dy = 0.

A:

Q: Given P(x) = x³ + 5x² + 4x + 20. Write Pin factored form (as a product of linear factors). Be sure…

A: Please see the below picture for detailed solution.

Q: Subject: Differential Equation Use HOMOGENEOUS DE. Please have a clear and detailed solution. Thank…

A: The given equation is; 3(3x2+y2)dx-2xydy=0 Repost the next questions.

Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C₁…

A:

Q: [x) = √x. (a) Simplify f(22 + h) − f(22) - h Algebraically simplify your answer until you have…

A: Given query is to find derivative using definition and then equation of the tangent.

Q: x² + 8x x³64x Determine the number of discontinuities of f(x). Consider the function f(x)= Determine…

A:

Q: 3. A semi-sphere tank of radius 7 m is full of water. How much work is needed to pump all of the…

A: Water tank radius= 7m  Water density = 1000km/m3  Find the work required to pump out the water .

Q: etermine the particular solution of the following differential equation: dy xy+2y-x-2 - dx xy-3y+x-3…

A:

Q: 7. (x - y)(4x + y) dx + x(5x - y) dy = 0.

A:

Q: 1. Evaluate the following and give the exact value: -π/2 сosy π-y π/6 sin(y+z) dz dx dy

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Problem 3: Determine the two-variable function F(x, y) if Fy (x, y) = y sin(πxy) — x given that x^2…

A:

Q: 5 (x-2)(x²-16) You must show all your algebra. 1) Let_f(x)= A) Identify all intercepts. B) Identify…

A: The given function is: f(x)=5(x-2)x2-16

Q: 2. Consider the function f(x) -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 I- == X (ii) x ¤ [−2, −1] y -0.5 -1…

A: Given function:- fx=2x Graph:-

Q: 16. Let / be a differentiable function such that 6x³in (4x) dx = 2x'in (4x)-[2x'g(x) dx What could…

A: given; Integration of 6x2ln(4x)dx=2x3ln(4x)- integration of 2x3g(x)dx.

Q: 2 9. The graph below represents the heart rate, in beats per minute (bpm) of a runner t minutes…

A: Solution

Q: Integrate: dx/(K+bx)=dy/-by

A:

Q: Use the given conditions to write an equation for the line in point-slope form and in…

A:

Q: A. II B. \mbox{II & III) C. III 18 The graph of f' is shown above. Which of the following statements…

A: We have given graph of the function f' From given graph  f'x=0 at x=2 (i) Function has a inflection…

Q: Using differentials, approximate the change, in terms of pi, in the total surface area of a closed…

A:

Q: Eliminate

A:

Q: Determine whether the given relation is an implicit solution to the given differential equation.…

A:

Q: x³y - yº lim (x,y)→(0,0) x² + y²

A:

Q: Methods by substitution (2x+1) dx - (x+3y+2)dy =0

A:

Q: 8) Is f(x) = 6x² - odd, even or neither? You must show all of your algebra. x

A: To verify that function is odd, even or neither.

Q: limx→2 f (x) = limx→2 g(x) = infinity Find limx→2 (f(x)+g(x)) Find limx→2 (f(x)-g(x))

A:

Q: 20. If you use the ratio test on the divergent series $ Σ2-1 =1 inequalities will result? n+4 A.…

A:

Q: Use the Vertical Line Test to determine whether the graph represents y as a function of x.   Yes,…

A: NOTE: Refresh your page if you can't see any equations. . if a vertical line intersects the graph…

Q: Let A be a matrix, and let x and y be vectors such that neither is a scalar multiple of the other…

A: Given: Ax=y and Ay=x+2y.We need to find the value of a and b such that A5x=ax+by.

Q: Find the average rate of change of the function f(x) = 3x from x₁ = 0 to X₂ = 7. The average rate of…

A: Topic = Function

Q: 4. Determine the particular solution of the following differential equation: y'=5xy-2x Where: x=0;…

A: Topic = Differential equation

Q: 1. Suppose that g(x) - 2 ≤ 3(x-1)² for all x. Find lim g(x). Justify every step.

A:

Q: Consider three arbitrary vectors u, v, w E R³. Using the definitions of the cross and dot products,…

A: We need to prove  u.(v x w) = w.(u x v) = v.(w x u)

Q: 5 If f(x) = 3 + + X Find f'(5). 5 x2, find f'(x).

A: If f(x)= 3+5/x +5/x2  Find f'(x) and f'(5).

Q: y' + y² sint = 0

A:

Q: * </x²(xp & − kpx)x= &p_k

A:

Q: Check all of the following statements that are true. Review terminology here. 0-9 N O-1.2 € R □ 121…

A:

Q: 1. lim tan x *→→ 2 +

A: Given query is to find the limit of the expression.

Q: Use the limit definition of the derivate to find the slope of the tangent line to the curve.…

A:

Q: Find the general solution of 3 y" = 6x³ y' (6) = 2 y (0) = 1 TUNISINI + *292/

A:

Q: Test the function defined by f(x, y) = exp homogeneous, give its degree. x-y for its homogeneity. If…

A: Concept: Homogeneous Functions: The value of a homogeneous function scales multiplicatively by a…

Q: Set up the definite integral required to find the area of the region between the graph of y = 12 -…

A: Given:     The region bounded between the curves y=12-x2 and y=-29x+220 over the interval -3≤x≤3 We…

Q: 30. Determine the particular solution of the following differential equation: 6y'=(2x+1)(y2-2y-8)…

A:

Q: Find the Taylor polynomials of orders n = 0. 1, 2, 3. and 4 about o and then find the nth Taylor…

A: Please see the below picture for detailed solution.

Q: da (cos x tan z) =

A:

Q: - y" - 3y'- 4y = 5 ex ANS. y = (c₁ + x)e²x + c₂e¯x.

A:

Q: 5) Use the fact that 6i is a zero of f(x)=x³-2x²+36x-72 to find the remaining zeros.

A:

Q: 3. Which vector is not equal to zero? a) ix (j×k) b) (ix j) × k c) (i × i) × j d) ix (ix j)

A:

Q: Find the derivative of f’(x)= 6 √X - 1/X^3 And f’(x)= -6 √X - 1/X^3 •One has a negative 6 and one…

A: The given function are  f'(x)= 6√x -1/x3  and f'(x)= -6√x -1/x3  We have to find the derivatives of…

Q: 6) Find all the zeros of f(x)=x³ –3x²+4x-2 and write f(x) in factored form

A: To find all the zeros of fx=x3-3x2+4x-2, and to write fx in factored form.

Q: Using differentials, approximate the change, in terms of , in the total surface area of a closed…

A: