Find the derivative of f (t) = (6t3³ - 8t² + 7) 46 f' (t) = BA

Q: Find the differential df of the function f given the gradient. Vf= (2x + 2e") i + 2xej.

A:

Q: The demand for a commodity generally decreases as the price is raised. Suppose that the demand for…

A: Demand: Demand is the willingness and ability of a consumer to pay for a product at a particular…

Q: A curling iron is plugged into an outlet at time t = 0. Its temperature T in degrees Fahrenheit,…

A: I have appended the formula used in the solution part of the question

Q: Given a2 = 7 and a5 = -56 of a geometric sequence, what is the recursive equation for the nth term?…

A:

Q: Maximizing RevenueThe marketing department at Texas Instruments has found that when…

A:

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t…

A:

Q: 3. The function gis defined on the closed interval [-4, 8]. The graph of g consists of two linear…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Evaluate the integral - dz 2./or using trigonometric substitution.

A:

Q: Evaluate the integral ntegral = * √(-10 + t) dt

A:

Q: 9 A company's marginal cost function is where x is the number of units. Find the total cost of the…

A: We have to find the Total cost of first 49 units.   According to our guidelines we can solve only…

Q: Question 4 Solve the differential equation. 6y¹ = ex/6 + y A) y = B) y = E xex/6 + cex/6 6 Ⓒy=xex/6…

A:

Q: c) O 28T d) 112T e) ○ 56T f) O None of these. I

A:

Q: Logarithms as anti-derivatives. -5 x (In x)² Hint: Use the natural log function and substitution.…

A:

Q: Evaluate the indefinite integral Note: Any arbitrary constants used must be an upper-case "C". 8x…

A: ∫xndx=xn+1n+1+cdxndx=nxn-1

Q: Evaluate the integral: S (2-1)(2+1)2 dx : +C

A:

Q: BOTTOM LINE What is the average velocity of a particle with velocity v(t)=4-t² ft/s from t = 1 to t…

A: NOTE: Refresh your page if you can't see any equations. . the velocity function is the given…

Q: Solve f8x cos(7x) dx using Integration by Parts.

A:

Q: Let f(x) = - 4 ln(6x) f'(x) = f'(2) =

A: Let, fx=-4 ln6xTo find f'x and f'2.

Q: Solve the differential equation. dy xax A) y = 1 + + 2y = 5-², x> B y = C) y = D E y = 0 5x2+2x+c…

A:

Q: 1) dy dx || 1 te 2x e tany + x² e²x sing егх Sec²y + cosy

A: dydx=-x4e2xtany+x4e2xsinysec2y+cosy

Q: Use the chain rule to find First the pieces: dw dr მu მყ θω Əz dz dt dy dt dz dt Now all together:…

A:

Q: Use part I of the fundamental Theorem of Calcuts. to find the derivative of a) F(x)= b) f(x)= 4…

A: NOTE: Refresh your page if you can't see any equations. . the fundamental theorem of calculus is…

Q: A flat screen television is advertised as being 44 inches on its diagonal. If the TV is 20 inches…

A:

Q: Use the substitution x = 5 sint to evaluate the integral f√25 – x² dx.

A: ∫ cos(at) dt = 1asin(at) +C.

Q: What is the Mean Value Theorem (of Derivatives)? See section 4.3. Be sure to include the conditions…

A:

Q: a. Write the series using sigma notation: 1 1 1 1 3 27 81 1 + 1 9 + -= n=0 b. The sum of a series is…

A:

Q: Find the equation of the cosecant graph given below. Note: Enter your answer in cosecant form. 6 U U…

A: We need to find function of graph.

Q: Let f(x)=√4x² + 4x + 6 f'(x) = f'(5) =

A: To find f'(x)

Q: Find the distance between the points (-1.4,0.5) and (-3.1,1.7) Distance = Give the approximate…

A:

Q: Let (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths…

A:

Q: X Co MS Page 5 of 10 Question 5 Solve the differential equation. y' + 2xy = 23x B y = Ⓒy= 23 2 There…

A:

Q: Suppose you are standing such that a 36-foot tree is directly between you and the sun. If you are…

A: Since two triangle are  symmetrical h36=180-160180h36=20180h36=19h=369h=4

Q: If f(x,y,z) = 2x² − yz + xz², where x = 2 sint, y = t² − t + 1, and z = e−³t, find f't)

A: from chain rule of derivaties…

Q: Find the differential equation characterizing the family of curves described. Sketch at least three…

A:

Q: Split into partial fractions: 16 4x² +

A: Given :164-x2=1622-x2

Q: f(sin³xcosx + sin²xcos³x) dx hint: find gcf (-3 2-

A: sin2x+cos2x=1dsinx dx=cosx∫sinxdx=-cosx+c∫xndx=xn+1n+1+c

Q: The marginal cost for a company to produce q items is given by MC(g) = 0.004q^2- 0.6q+ 615. The…

A:

Q: (b) -2 x dx

A:

Q: 1. For each problem, find f(x): A. f"(x)=20x³-12x² +6x

A:

Q: Find the distance between the points (1,0) and (-5,5). Round to at least the nearest hundreth.…

A: NOTE: Refresh your page if you can't see any equations. . two points are

Q: The amount of​ carbon-14 present in animal bones t years after the​ animal's death is given by…

A:

Q: Find the value of tan (a - B) if cos a = 90° a 180°, and 90° <B<180° 3 5 = -³/³, sin ß = 13

A: Given  cos α = -35,  sin β = 513,  90°&lt;α&lt;180°, and  90°&lt;β&lt;180°.

Q: What does fary Mean? Clues (bay of ² (0 (24)-7 e find

A: We have to find the value of fxy.

Q: 40. *3 dx o 5x + 1

A: We will use substitution method to solve the definite integral

Q: Answer using Differential Equations  A thermometer is brought outside from the inside of a house…

A: According to the Newton's Law : T(t) = Ts + (To – Ts) e-kt Where, t = time, T(t) = temperature of…

Q: Use exact area calculations (no Riemann sums or a definite integral) to evaluate each of the…

A:

Q: Evaluate the integral using an appropriate substitution. [x√5 - x da = + C

A: using u substitution, let u=5-x⇒x=5-u dudx=ddx(5-x)using ddx(a-x)=-1dudx=-1dx=(-1)du

Q: Determine which limit is of an indeterminate form. sin x lim X→∞0 X X-3 lim x+3x²-9 lim x→0 X lim…

A:

Q: 3. y = C₁ + C₂ e-4x

A:

Q: The midpoint of AB is at (-4,-2). If A = (4, 6), find B. B is:(

A: