2. Use the substitution technique to find [*5'sin(5¹) dt exactly (not an approximation).

Q: F. dr as a line integral and as a double integral. JC F(x, y, z) = (-y+z)i + (x − z)j + (x - y)k S:…

A: Concept: Stokes’ Theorem: Let S be a piecewise smooth oriented surface with positive orientation,…

Q: S 3 Lnx+1 XLn x-2x .dx

A:

Q: Let u = (-7, 1, 5) and 7 = (5, 3, 4). —

A:

Q: Write z₁ and 2₂ in polar form. Z₁ = Z2 = Find the product 2₁2₂ and the quotients and (Express your…

A:

Q: Given f(x)=3x+2 and g(x)=-2x- Write an equation for (f+g)(x) Determine (f+g)(6) Determine (fg)(x)…

A: f(x)=3x+2 and  g(x)=-2x+1

Q: (a) Evaluate the limit 9n²-n+9 lim n o 13n2+8n+15 Enter the exact value for your answer. 数字 (b)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: the graph of f(x) to evaluate the following: f(x) 1 2 3 4 LA 5 6

A: Topic:- function

Q: 6) Evaluate 0.8 1 0 dx 4x² +4

A:

Q: Find the length of the vectors (a) i +3j+ k: length = (b) i — 2.6 j + 2.6 k. length = -

A:

Q: function is increasing, decreasing, or constant. C 5. g(x)= x +21+|x-1|-2, 10 8 10 -8 -6 -4…

A: Given gx=x+2+x-1-2

Q: At 1:00 P.M., a thermometer reading 70°F is taken outside where the air temperature is -10°F (ten…

A:

Q: an equation for the translation

A: Topic:- geometry

Q: 4 Jo - xp (x), us (A) TWEN 6 2 (8) 7 (8) 46 9 3 (C) 0 (C) 0 (D) 1 (a)

A:

Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: Topic = Differential equation

Q: Find the average rate of change of the function over the given intervals h(t) = cott a. b. π 3π 4' 4…

A: Given function f(t)= cot twe know that Average rate of change of function y=f(x) over the interval…

Q: Calculate r' (t), T(t), and T(3) where r' (t) = ( T(t) = ( T(3) = ( ). r(t) = (2t², 2t).

A:

Q: 9. Which is a transformation applied to the base function of f(x) = (4x a) A vertical translation of…

A:

Q: 3. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A:

Q: The graphs of y = f(x), y = g(x), y = h(x),and y = m(x) are shown. -12 h(x) -8 m(x) -4 g(x) 8 f(x)…

A: The graphs of y=fx, y=gx, y=hx, and y=mx are shown. By using the information in the graph to…

Q: Q3. Evaluate the circulation around the closed path shown in the Figure for, which represents a…

A: The given closed path is shown: It is a part of the sphere with radius r=4. The curves enclose the…

Q: Q1: lim Q2: lim (x-1)(x-2) x+1 x-001+stnx Q3: f(x) = x²-16 đêm 5244 A) 3 (A) B) 00 (B) 00 18 (C)-8…

A: We need to find limit.

Q: Solve the following ODE. y' = 2y + x x

A: Here, the given DE is: y'=2y+xx⇒y'=2xy+1⇒y'-2xy=1 Comparing it with y'+Py=Q where P & Q are…

Q: Find (a) the slope of the curve at the given point P. and (b) an equation of the tangent line at P y…

A: (a) Given that, the function is y=x and the point is 4,2. Differentiate the function y=x with…

Q: 1. A radioactive substance with an initial mass of 5kg has a half-life of 30 months. a) Write an…

A: Answer is in next step!

Q: Q2: lim +01+stnx x²-16 đêm 5 t (B) 00 (C)-8 is discontinuous at: (A) x 1 (B) x = 4 (C) x-1 and x=4…

A: The objective of the question is determine the discontinuity and choose the correct option.

Q: Find each model WITHOUT a Calculator (without regression) BY HAND. Then, use a calculator to…

A:

Q: Consider the function f(x)=x²- 5x. Compute the derivative using the definition f(x+h)-f(x) h by…

A: To find the derivative f'(x)

Q: An unknown radioactive element decays into non- radioactive substances. In 240 days the…

A:

Q: Plot the point(s) where tan = Clear All Draw: √3 3

A:

Q: 1. a) b) -16807 32 10 √√–128 -3

A:

Q: Determine the average rate of change for the function f(x)=2" on the interval 1≤x≤5. 1024 255 4 512

A:

Q: Demonstrate that the function f(x)= e^-x sin (x) is a solution for the differential equation f(x) +…

A:

Q: A basketball team has 11 members. In how many ways can 5 players be chosen under each of the…

A:

Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: We have to determine the time necessary for the number of bacteria to triple.

Q: 21. lim xcsc x is 110 (A) (B) - 1 (C) 0 (D) 1 (E) 80

A:

Q: b) What is a cubic number? Provide a 'real world' example to illustrate your explanation.

A:

Q: Find the angle between the vectors a 0 = and b = 2i+j - 4k. 10i - j - 5k

A:

Q: Use inversion order to the ff integral, the limits of the innermost integral must be a. √x to x b. X…

A: ∫01∫y2y1-x2dxdylimit of y is from y=0 to y=1limit of x is from x=y to x=y2draw region bounded by…

Q: Find the limit of the function (2x ^ 2 - 4x)/(x + 1) as x increases without bound

A: find limit as 'x' increases without boundlimx→∞ 2x2-4xx+1

Q: 12 10 8 A 0 B 6 C 8 D 10 12 16 H G 20 22 24 26 28 30 The graph attached to this question has 7…

A: The solution is given below

Q: Question 5 b)

A: Please see the below picture for detailed solution.

Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

Q: Find the limit. (If an answer does not exist, enter DNE.) x+ 5-6 X - 31 lim x→ 31

A: We need to solve limit.

Q: If f(x) = 2x²-x+ 3, find the following. f(1) = f(-1) = f(a) = f(-a) = f(a + 1) = 2f(a) = f(2a) -…

A:

Q: Q1: _lim, Q2: lim (x-1)(x-2) x+1 x+01+stnx Q8: lim h-o = (C)-8 x²-16 Q3: f(x)=x²-5x+4 is…

A:

Q: stimate the instantaneous rate of change of f(x)=logx at x= a) 0.000087 b) 0.0043 c) 2 d) 0.00043

A: Topic:- calculus

Q: A cost function is given by C(x) = 200e-0.5. Calculate the marginal cost when x = 3. Give your…

A: Topic- derivative of a function

Q: Let →u=⟨6,−4,−6⟩ and →v=⟨−5,−3,−6⟩. Compute the following:

A:

Q: base salary $60 week. and commission $1.25 for all units sold in excess of 50. The bonus is $25 if…

A: Base salary per week=$60If sales exceeds 50 units, thenCommission for per unit=$1.25and bonus for…

Q: 1.4 1.5 1.6 Will the Anderson family make a surplus or deficit for the month of June? Show…

A: Given: Total income and total expenditure.