For the given function find an equation for the inverse function f-1(x).  f(x)=3x-1

Q: Find 뿐 for the ry – ln(xy) = 1 0 뽈 ㅇ-볼 O 래 ㅇ-픕 following:

A: The given expression is xy-lnxy=1 we have to find dydx use the derivative formulas, ddxx=1…

Q: What is the slope of the tangent line to the curve y=−2x^2+8x+2 at the point where x=5?

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Q: Find the first six partial sums S₁, S2, S3, S4, S5, S6 of the sequence whose nth term is given. 2,…

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Q: system, or show that it is inconsistent. (If the system has in = z(t), and w = t. If there is no…

A: Given system can be written as  101201-2012-10213-2xyzw=1130 Augmented Matrix…

Q: What object is sliced to get conic sections? A pyramid A cone A sphere A cube

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Q: Evaluate O O In O In In a:² In |-2|³ |x + 1/² x+2/8/3 |x-1/5/3 O 3 ln x²-x-2+C x-1/5/3 x+2/8/3 x+7…

A: We have to evaluate ∫x+7x2-x-2dx.

Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

A: Given,            fx=-x2+4x+2            gx=x+2To find : Calculate the area between the given…

Q: Consider the circle, x² - 8x + y² + 2y-8=0 i) ii) Write the equation of the circle in standard form.…

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

A: f(x)=-x4+16x3-16x+5 If a function is concave up then f"(x)>0 If a function is concave down then…

Q: Evaluate the definite integral 8 2x² + 7 √x -dx

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Q: Question 22 Find the polar equation for the Cartesian curve ² 0₁ = cos O p = O O sec @tan 0 1 T=…

A: Please see the below picture for detailed solution.

Q: y = In z I at x = 1: Oy=-x+1 Oy=-x-1 Oy=x-1 Oy=x+1

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Consider the integral fa³ In(a) dæ: Applying the integration by parts technique, let In(x) Ա dv = x3…

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Q: On Integration of Rational Fractions. Distinct linear factors Repeated linear factors 1² +2 x² +2…

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Q: A D 1. Determine an expression for the area of a rectangle inscribed in a circle of radius 1 cm, in…

A: Explained below

Q: Solve the equation (x+3x³ siny) dx + (x4 cosy) dy = 0

A: Here we have given a differential equation :(x+3x2siny)dx+(x4cosy)dy=0      ......eq(1)

Q: Consider the equation x^(2)e^(y) +3y=1. a.) Find dy/dx by implicit differentiation. b.) Find the…

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Q: 1. The Louvre museum in Paris features an inverted square pyramid with a height of 10 m. The side of…

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Q: Factor the following expression: x^2 +9x + 8 (x + 1) (x + 8) (x - 1) (x - 8) (x - 1)…

A: Solution

Q: Find the average value fave of f(x) = x³ between -1 and 1, then find a number c in [-1,1] where f(c)…

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Q: Doint approximation. time (sec) 0 1 2 3 4 5 6 velocity (ft/sec) 26 47 49 30 7 2 19 feet

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Q: a) 2+ 3i b) 2-3√2i Write in trigonometric form with 0 ≤ 0 ≤ 2π

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Q: tab caps lock hift ↑ esc →1 Find the first six partial sums S₁, S₂, S3, S4, S5, S6 of the sequence…

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Q: Use the graph of y = f(x) for problems 7 and 8. 1010 lim f(x) = 1; HI-4+ lim f(x) = 1; 41144 Use the…

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Q: (b) Consider the complex vector space C² (with complex scalars). Find the real number a, if it…

A: The objective of the question is determine the value of "a" for which given vectors are linear…

Q: Find the lengths of the functions of x over the given interval. Approximate if necessary. y=e^x on…

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Q: (d) y = πx+π³

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Q: 1.) e ax sin (mx) dx -1) (0+3)(

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Q: Answer the following statements true or false. 8.1 The sum of continuous functions is continuous.…

A: Here we have to state whether the statement is true or false.

Q: Find the directional derivative fü(9, 2) for the function 37 - 47 5 f(x, y) = xy + y³ with u = fű(9,…

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Q: Find the absolute maximum and the absolute minimum for the function f(x)=e−x−e−5x,…

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Q: Solve the system of equations below: y = 3x - 5 y = -2x + 10 (3, 4) (5, 0) (0, -5) (2, 1) (4,…

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Q: Find the area of the following region. The region inside the inner loop of the limaçon r = 2+4 cos 0…

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Q: Which equation represents a line that goes through the points (0, 1) and (1, 0)? y = -(x + 1) y = 1…

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Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

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Q: D) { (-)"} [Select] [Select] converges to 2.

A: Please see the below picture for detailed solution.

Q: Given f(x) = 2* cos x, 0 ≤ x ≤ í, find the critical point(s) on the given interval. If necessary,…

A: Answer :   Critical point : x = 0.193π and increasing in nature.

Q: Gr 5 0 -5 5

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Q: If what does the following integral equal? 1 d(v)dv= 8 - d(v)dv = 20 and 8 [*d(v)dv = 6.8 7

A: To evaluate the given definite integral.

Q: ) In the following exercises, use direct substitution to show that each limit leads to the…

A: Given, limx→ 3x2-2x-3x2-9LetL=limx→ 3x2-2x-3x2-9L=limx→ 3x2-3x+x-3x2-32L=limx→…

Q: 12 Sf x² ydxdy 01 In2 2 11₂ SS 2xe dxdy 0-1 3 1 2xy SS- -dxdy 10x+1 4√x 2 S S x²y dydx 00 11-y S S…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: An international organization must decide how to spend the $2,200,000 they have been allotted for…

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Q: Question 21 Consider the region in the third quadrant between the circles a² + y² = 4 and a² + y²…

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Q: X = 4t-1₁y = 4 - 16t²,-≤ts Find an equation in x and y. Grap the equation in x and y. Indicate the…

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Q: Find the nth term of the arithmetic sequence with given first term a and common difference d. What…

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Q: Find at x = 4 if y = 4x² - 2 and dt da dt Question Help: Video Submit Question dt = - 3.

A: We are asked to find the derivatives.

Q: Let R = {(0,1), (0,2), (1,1), (1,3), (2,2), (3,0)} Find R', the transitive closure of R

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Q: centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 8…

A: The volume of a pyramid isBh3 , where B is the area of the base and h is the height of full pyramid.…

Q: When trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the…

A: Let  B be the number of burritos, T be the number of tacos