let f(x)= 3x² -1, find [ (f(x+h)-f(x) ) /h] O 6x+3h O 6x² +6x-2 +3h O none of these answers O6x-3h

Q: 2 Let A = [3 and B matrices A and B commute? None a -4 For what values of a (if any) do

A:

Q: Х 9-x dx

A: Given query is to find integral converging or diverging.

Q: Evaluate the indefinite integral Scos (x) √9+25 sin* (x) dx

A:

Q: Find the antiderivative for the given function. (Hint: Use inverse hyperbolic functions.) IT dx 16x2…

A: ∫dtt2-a2=lnt+t2-a2+C          Equation 1

Q: he system of linear equations 2x + y + y + 2y + he following are equivalent to this system? 2x -I I…

A: Given query is to find equivalent system.

Q: Consider the scalar field (x, y, z) = x²y³ z4.. Calculate the rate of change of oat (1, 1, 1) in the…

A:

Q: If the price of bananas as a function of time is given by f(t) where the time t is in days  f(t) =…

A: Given that rate of bananas is modeled by the function f(t)=0.001t2+29

Q: 4 -2 a) State the values of f(0) and g(2). f(0) = 3 g(2) = 2 b) Which is larger, f(-1) or g(-1)?…

A: According to graph we can answer these questions

Q: 6. On a late winter day in Avon, Indiana, the temperature in °F, t hours after 9 A.M. can be . Find…

A:

Q: Given f(x, y) = 6x² + 3x²y³ + 4y5, find fz(x, y) = fy(x, y) = frz(x, y) = fxy(x, y) =

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the marginal cost for a…

A: Note:- Since you asked multiple question ,according to our policy we can solve first question for…

Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

A:

Q: A. S B -x²+x-4 (1-3x)²(9x²+1) dx. x4+5x³-6x² +18 x³ + 3x² dx.

A: Since you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: Reindex the series to start at k = 0 y = Σ% (k + 1)xk+3 = Σ

A:

Q: Let's pretend I made a massive ice cube for an art project (a literal cube of ice). My perfectly…

A:

Q: Find the measure (if possible) of the complement and the supplement of the angle. (If not possible,…

A: Given: Let x= 2π5

Q: (Σχ.) (Σκ) - η ΣΧΥΚ Use the equations m= that would correspond to x = 6. (0.1), (1.0), (4,-6) and b:…

A: By using theequations m=∑xk∑yk-n∑xkyk∑xk2-n∑xk2 and b=1n∑yk-m∑xkwith all sums running from k=1 to…

Q: Suppose the position of a particle in motion at time   is given by the vector parametric equation…

A:

Q: Find the tangent line to f(x) = 2x² + 3x + 4 at x=5 in the form y = mx + b m = b =

A: We have to find the equation of tangent at point x=5.

Q: B. Find all the rational zeros of each 28. 2x³ + 9x² +7x-6=0 29. 2x³ + 16x² + 14x = 0 30. 6x³ +…

A:

Q: Learning Target DA5: I can determine the intervals of concavity of a function and find all of its…

A:

Q: Find all the local maxima, local minima, and saddle points of the function. 3 3 f(x,y)=x² - 6xy + y

A: To find the local maxima, local minima, and saddle points of the given function, we need to find its…

Q: etermine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Given : The given differential is exact

Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: Given f( x, y ) = 3x2 + xy2 -4x + 1

Q: Use the matrix below. Find a 23 A = 00-3 5 6 3 -1 0 44 in matrix A. 2-5

A:

Q: A large tank is filled to capacity with 600 gallons of pure water. Brine containing 2 pounds of salt…

A:

Q: Consider the following formulas. a sin(88) + b cos(89) = √² + b² sin(B+C), where C= arctan(b/a) and…

A:

Q: Calculate IL ₁ where D is the triangle with vertices (0, 0), (2, 1) and (0, 1). x dA

A:

Q: Find the point on f(x) 1 4 = )` √ that has a slope of

A: As we know the slope of the tangent line to the given curve is equal to the derivative of the given…

Q: 27. 1 S² =—= dx Jox xp-

A: The given integral is 1/x, limit from 0 to 1.

Q: Suppose that ABCD is a parallelogram, and A = (–1,1), B = (0, b), C = (1,4), What are the values of…

A:

Q: d) g(s, t) = 10s-e³st-7t² gt (s, t) =

A:

Q: Consider the following. f(x, y) = x + y ya 0 (1, 1) D (a) Express the double integral 2 x JS f(x, y)…

A: Consider the following. fx, y=x+y (a) To express the double integral ∫∫D fx, y dA as an iterated…

Q: Find slope of secant line from points [2,-10] and [5,-8]

A:

Q: a) Find f'(0) if f(x) = 2x Give three digits past the decimal point. b) What is the slope of the…

A: To find the derivative of given function at the mentioned point.

Q: Use the relevant information to compute the derivative of h(x) = f(g(x)) at x =1, where f(1) = -3,…

A: Given that, h(x)=fgx

Q: Question 5.(10 marks) (a) Find the equation of the line tangent to the curve y³ + 4y arctanz-ry=n at…

A:

Q: 1. For the following differential equations, specify the independent and dependent variables, state…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the differential of the function w=x^2sin⁡(y^2z^5) dw=dx+ dy+ dz

A:

Q: Evaluate the indefinite integral X-5x²+6x²-18 x²-3x² JX

A:

Q: 0 -00 3 3 1 - 4x dx

A: Given query is to find the value of the integral.

Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A:

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. x2 dy dx - 2xy = 6yª, y(1) =…

A: Use substitution  z = 1/y3  Then it is converted into exact differetial  equation.

Q: Find the linear approximation L(x, y) of the function f(x, y) = 3x² – 2y² at (1,1). A. L(x, y) = 6x…

A:

Q: y = 4x + 10x². Determine the equation of the tangent to the function at [2, 2]

A:

Q: he sum of the first three terms of a geometric series is 27.10, and the common ratio is 0.9. What is…

A: given that , sum of first three terms of a geometric series is = 27.10means   s3=27.10and common…

Q: Calculate the iterated integral. [² JO (x + ex) dx dy

A:

Q: A 75-lb weight hangs from a string as shown in the figure. Find the tensions T₁ and T₂ in the…

A:

Q: sin 2π 2+ 2 sin 211 2 = √3 Why ? 4 = Sin 21 ÷ 2 = Sin 211 x 1/2 10 Sin 1 = √3/20

A: To prove:- sin2π32=34