Question 9 Let f(x) f-¹(x) = 1 2+8 < >

Q: a) Start by copying the graph of the inverse tangent curve onto your paper. Then label each plotted…

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Q: Compute the area bounded by the curve y=3x² and the lines y=0 and x = 3,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given f(x)= (b) 4x+3x² - 6x. Find All critical points of f(x) The interval on which f(x) is…

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Q: Given f(x)=√x-5;x#5 and g(x)=x+3. Find the domain of (gof)(x)?

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Q: 6. 15 4 3 5 1 23 24 -3 -6-5-43-2 2 3 4 5 6 -6 Write the domain of the function using interval…

A: Given query is to find the domain of the function.

Q: Applying the ratio test to the series ∞ 1 k you would compute ak+1 lim = lim k→∞ ak k→∞ Hence the…

A: After applying ratio test we have to tell about convergence of series.

Q: QUESTION 12 dz State the multi-variable chain rule for if ди z=z(t. s, w), t=t(u, v), s=s(u, v), w=w…

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Q: 13. Find the mass of a thin funnel in the shape of a cone z = √x² + y²,1 ≤ z ≤ 4, if its density…

A: answer is in next step

Q: 3. Let h = f(t) be your height (in meters) above the ground while riding a Ferris wheel. The Ferris…

A: Given that the wheel complete one revolution in 8 minutes.

Q: r(x, y) = ln(x + y) w = x sin(y) + y sin(x) + xy

A: In partial derivative, while taking the derivative with respect to one variable consider other…

Q: Consider the given graph below: A PA 0 B с G 1/4 11/2 31/4 5/4 31/2 717/4 D Let y = a sin[k(x −b)] +…

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Q: ƒ dx = f(+ g(x)) dx, then A + f g(x) dx is equal to x³+x A. -1 B. -1 + In(5/2) C. 1 D. -1 + In(7)

A: Given that,

Q: 5. Evaluate 4 1+√√/5x J -dx

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Q: If U, V,w are three vectors such that each is inclined at an angle of with the other two, and that…

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Q: i mylliplied to ma constraints. ng range, and x minimize the function of lagi zo constraigher y of…

A: Use Lagrange theorem

Q: Find a power series solution of the differential equation y' = 4y

A: We have to find power series solution .

Q: Evaluate lim X→∞ ९+2 1 - x³ ( if necessary, using L'Hôpital's rule)

A: limx→∞ex21-x3Apply L-Hospital rulelimx→∞2xex2-3x2limx→∞2ex2-3x

Q: 1. A. B. C. D. dx If f is solved by trigonometric substitution, the resulting x²-2x-4 integrand is?…

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Q: Calculate the derivative. x4 - 4 y = x² - 5 (Give an exact answer. Use symbolic notation and…

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Q: Given f(x)=3x¹-8x' +10, find critical points (b) interval increase and decrease

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Q: lim 3 24-8 LIMIT VALUE: H 11-2r

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Q: dx If z² = x³ + y², = -3, dy dt dt Please give an exact answer. Provide your answer below: - - 2,…

A: Answer is in step 2.

Q: Decide whether the statement is true or false. - 5 is a solution of log 325 = 2log 3x.

A: Formula

Q: [CLO-21 f(x) and g(x) are functions that are continuous on the interval -3 ≤x≤2 and satisfy 1…

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Q: 3. Evaluate lim x →∞ ९+2 -( if necessary, using L'Hôpital's rule) 1-x³

A: In this question we have to find limit.

Q: Question 2c.)

A: Here we have to find the period.

Q: Question 5 > The plot below represents the function f(x): 3 3-4-32 1 2 3 4 Evaluate f(-3): f(-3) -…

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Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. logg(98) (a) common…

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Q: sin(x)cos(2x)sin(3x) dx A B D sin(3x) cos(3x) sin(2x)cos(2x) sin(2x) + + 12 8 sin(3x)cos(3x) 12 +…

A: We have to find integration of given trigonometric term.

Q: Solve the optimization problem. F = Minimize F = 11x² + 11y² with xy² = 16.

A: Given problem:- Solve the optimization problem.   Minimize F = 11x2 + 11y2 with xy2 = 16

Q: Find the area of the shaded region. r = 4 + 3 sin 0

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Q: 9x Area bounded by the curves y=e*, y=e³x, x=0 and x = ln2

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Q: 3x^2+y^2=28 3(x-1)^2+y^2=19

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Q: Fill in each blank so that the resulting statement is true. The change-of-base property for…

A: Given problem:-

Q: o evaluate (In x)² +3 dx,

A: answer is in next step  option C is correct

Q: [sin³() cos(4) dx (A B C) D 32 32 3/² cos (4) + 3 cos (4) + C 5 32 3 cos (4)[-5cos² (4)+7] 35 32 35…

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Q: +3x²+7x+28 18. Using partial fraction in evaluating x³+x²+7x 1/2(2x + 1) - 17/7/2 6-2x -…

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Q: 3) f(x, y, z)=x² + y² -2=²+ = ln(x). (1,1,1) -1/2 4) ƒ(x, y, z)=(x² + y² + =²)¯¹¹² +ln(xyz),…

A: 3)    fx,y,z=x2+y2-2z2+zlnx We have,       grad∅=∇f=i∂f∂x+j∂f∂y+k∂f∂z ∂f∂x=2x+zx ∂f∂y=2y…

Q: icle generada a girar alred =et, y = 2et +1 0 <t≤ 1. dereje x por.

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Q: 12. 13. 14. √2+6-√√6 Т lim I-0 LIMIT VALUE: lim 2-1 LIMIT VALUE: Т lim 3 2-8 V 11-2z LIMIT VALUE:…

A: limx→a f(x) =L if and only if limx→a+ f(x) =limx→a- f(x) .

Q: The graph of f' (not f) is given below. At which of the marked values of is A. f(x) greatest? x = B.…

A: Given :  the graph of f '

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: Select the answers that best complete the given statement. The product rule for logarithms states…

A: Fill the blanks with the help of log rule

Q: NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for…

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Q: Write the equation of a sine or cosine function to describe the graph. 3- 3 1 π - 4 4 -2 -3 r k | 2

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Question 6 Consider the function in the graph to the right. The function has a maximum of at x = The…

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Q: 0 X State in words all the transformations necessary to obtain the graph of y=2f(x-2) from the given…

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Q: Round your answer to four decimal places, if necessary. Approximate the area under the curve on the…

A: We have to find the area by right endpoint rule.

Q: A plane flies at a speed 560 km/hr at a constant height of 11 km. How rapidly is the angle of…

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