9. f(x³ - 4x)dx -3 (x²-1) dx 10. ₂

Q: da potential function f for the field F. F = (4y + 2z)i + (4x+z)j + (2x+y)k eneral expression for…

A: Topic:- application of integration

Q: Q4:Evaluate 1) lim (1-²) x-0 \sin x

A:

Q: If A = 2₁ 2 2 and B = -1 Find det(AB) 3

A:

Q: B. Find the general solution of the following 2nd order differential equation: y*+2y+2y=0

A: The given second order homogeneous differential equation is: y''+2y'+2y=0 Therefore, the auxiliary…

Q: 1. Set up the integral (but do not evaluate) to find the volume of the solid obtained by rotating…

A:

Q: Find the area bounded by the curve r = 2 - cos Upload Choose a File

A: area

Q: Write an equation of the tangent line to the curve f(x) = answer in the form Ar+By+C =0. 3x at the…

A:

Q: Find the general solution of the differential equation: y' - 5y = te-2t Use lower case c for the…

A:

Q: Find the exponential function f(x) = Cbx whose graph is given. y (3,500) f(x) = (1, 20) X i

A:

Q: A = 15-6 14 53 2, b= 22 12 9 -6

A:

Q: 45. 2 (2-x)² √2+x I = (A) 2 √2=x dx = ²√ √/²³ (x) + (B) 1 +c, then f '(1) is equal to - c (C) 4

A: If, I=∫22-x22-x2+x3 dx=34f2x3+c, then to determine the value of f'1.

Q: Consider the following. Function Line f(x) = x³ 3x-y + 8 = 0 Find the slope of the given line. slope…

A:

Q: A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft…

A: Let's find total work(W).

Q: f' (æ) =Vx+, f(0)=2 f"(x) = 3x² 16x + 16, f'(0) = 1, ƒ(0)

A: Topic:- application of integration

Q: Find the determinant of the matrix, O2²-12-13 O22-12+13 O²+12+13 Oλ-13 2-11 4 6 2-1

A: Determinant , λ-11λ-1-24 λ2-11λ-λ+11-24 λ2-12λ-13

Q: The graph below is the function f(x) 5+ 4 -5 -4 -3 -2 -1 1 2 3 4 Find lim Find lim Find lim Find…

A:

Q: Find a + b + c. The Maclaurin Series for f(x) = ln |3 + 4x is: f(x) = lnb + 26 + Σ'()"

A:

Q: In the expression n (7) x²3² +3 z" •n is a real number • x, y and z are real numbers greater than 0…

A:

Q: 2. Find the area of the region between the curve, x = y² + y −6, y- axis and y=0; y = 3.

A: we need to find the area bounded by the given curves.

Q: C Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that…

A:

Q: - First Order Linear Differential Equation Direction: Solve the general solution of the following…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Q4: If f(x,y) = x²y + exy Siny Find 1) 2) (D = f), at po(1,0) in the direction of 0 = Po

A: Given problem:-

Q: Convert 2.00 caws to screeches 8.00 caw = 5.00 chirps 0.82 chirps = 1.0 song 3.00 song 2.0 screech =…

A: 8.00 caw=5.00 chrips0.82 chrips=1.0 song3.00 song=2.0 screech

Q: A. Determine if p = ï - 3k and q = 61 - 3j - 4k are parallel, orthogonal or neither. 3. Find the…

A:

Q: test if (AB) =B¹A¹ A = 4 0 L3 1 2, B = 5. 4 -3 14 02

A: We  can check the matrix as below

Q: Assume that y is a differentiable function of r such that y² = x² + 4x sec y. Find y' by implicit…

A: implicit differentiation

Q: Q9- Find the turning points of the function f(x,y)=x^2+ 2xy and state whether the points are max,…

A:

Q: s Given : 1 value of AB 3 A 72 40 8x + 1 20 3 280 3 4x - 3 dx. If we let the substitution" = 4x-5 ,…

A: To find out the required answer.

Q: culate √2-4i. Give your answer in a + bi form. In polar form, use the angle 0 < 2TT.

A: Topic:- complex number algebra

Q: Q5: Derive the formula for trapezoidal Rule to evaluate f f(x) dx

A:

Q: 2. (y - x + xycot x) dx + xdy = 0

A: We have to solve the given differential equation.

Q: the complex number z = 18 + 18j in trigonometric form Group of answer choices   19.7(cos23.96°+ ?…

A:

Q: Differentiate f(x) = tan¯¹(3x). Use exact values. f'(x) =

A:

Q: 4. Find the exact length of the curve. π x = 5 cos³ 0, y = 5 sin³ 0, 0≤0≤- 2 Write Answer In…

A:

Q: Given: ·S- takes the form 20 A 3 8x+1 dx. If we let the substitution =√√4x-5, the final answer 4x-3…

A: Integration

Q: Problem x√x+1 dr

A:

Q: (a) √738(t - 4)dt (b) 738(t + 2)dt (c) √²38(t+4)dt (d) f²3x²8(t-4)dt (e) ¹3x²8 (t+2)dt -3 (f) ²3x²8…

A:

Q: Q2: Evaluate the following integrate: 2- S(2 + 5x) es dx

A:

Q: Evaluate r5/6 -π/6 2 cos 0 fo² 0 r sin Ødr de.

A: We have to evaluate ∫-π65π6∫02 cos θr sin θ dr dθ.

Q: TICILNIC B. Find the general solution of the following 2nd order differential equation: y* +2y + 2y…

A: Topic:- differential equations

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

A:

Q: (D² + 3D + 2)y= sin ex

A: The given differential equation is  (D2+3D+2)y=sinex

Q: What integration technique can be used to integrate: 5√3+x² dx X

A: Follow the procedure given below.

Q: Find the consumer's surplus for the following demand function at the given point. 4) D(x) = (x -…

A: Finding consumers surplus

Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

A:

Q: 2. fizə] ycos (xy)] dx + [2xe2y - xcos (xy) + 2y] dy = 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: ind A or each of the following intervals, tell whether f(x) is increasing or decreasing. -∞o, A):…

A: Topic:- calculus

Q: Problem 7 Ső S xvx² + 1 dx

A:

Q: 10. 2z + 3 2+2 11. 2z - i iz + 2

A:

Q: Rewrite the Cartesian equation r(0) = Enter theta for if needed. = 3 as a polar equation.

A: Topic = Geometry