of discontinuity does f h of discontinuity does f h

Q: If the radius r of a circle is decreasing at the rate of 5 cm per minute, find the rate of change of…

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Q: At what point on the curve y = √-3 + 2x is the tangent line perpendicular to the line 12x + 4y = 1?…

A: Use  differentiation  for finding the intersection points.

Q: If the tangent line to y = f(x) at (7, 3) passes through the point (0, 2), find f(7) and f'(7).…

A: Topic =Application of Derivative

Q: Find the surface area of revolution about the x-axis of y = 5x + over the interval 0 ≤ x ≤ 3.

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Q: Let  ?(?)=3?+5 ??? ?(?)=x2 a. Find  (f∘g)(x) b. Find  (g∘f)(x)

A: Given :   f(x)=3x+5 g(x)=x2

Q: Draw a dependency diagram, and write a chain rule formula for dt where z=f(p.q). p=g(t), q=h(t).

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Q: QUESTION 1 If F(S) is the Laplace transform of f(t) = cos² (3t+ O 0.56543333333333334…

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Q: Solve the equation. dy dx = 5x³ (2+ y²) = 3 ² An implicit solution in the form F(x,y) = C is =C,…

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Q: The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons.…

A: Work done(W)=∫abF.ds  where F is the forceds is the change in displacementa and b are the two limits…

Q: In the question they said without determine the numerical values of the coefficients

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Q: хожуу (2, я Я y 2 = 4 х sin х

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Q: At a price of $12 per ticket, a musical theater group can fill every seat in the theater, which has…

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Q: Express the integrand as a sum of partial fractions and evaluate the integrals. S x+3 2x3-8x -dx…

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Q: At what point on the curve x = 3t² + 5, y = t³ -3 does the tangent line have slope ? (x, y) =

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Q: Find two unit vectors orthogonal to a = (4, 3, -1) and b = (-4,-1,5) Enter your answer so that the…

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Q: K Convert to a logarithmic equation. 25

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Q: Air Purification During testing of a certain brand of air purifier, the amount of smoke remaining…

A: During testing of a certain brand of air purifier, the amount of smoke remaining  (as a percent of…

Q: Make a sign diagram for the derivative of the function. f(x) = x3 − 3x2 − 24x + 7 f '(x)      0…

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Q: 4. L{4cos 2t - 5sin 2t} 5. L-¹ { 3/(s² - 7) } 8 2 3s² + 12 5 6. L-¹ { - C-LC + 3 S49 - } 7s

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Q: Show that f is continuous on (-∞, ∞). if x ≤ 1 if x > 1 On the interval (-∞, 1), f is a polynomial…

A: f(x)=1-x2   if x≤1lnx    if x>1condition for continuty is limx→1+f(x)=limx→1-f(x)=f(1)

Q: The curves r₁(t) = (4t, tº, -3t4) and r₂(t) = (sin(t), sin(-t), t - ) intersect at the origin. to at…

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Q: Find the vector and parametric equations for the line through the point P = (-2, 2, 3) and parallel…

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Q: Evaluate / xdA where R is the rectangle: −1≤ x ≤ 3, 2≤y≤5. -1 A. 3 B. 6 C. 10 D. 12 E. 15

A: Given that ∬RxdA , where R is the rectangle: -1≤x≤3,2≤y≤5

Q: Question 1 f(x) = x³ - 4x² + 3x +1 find the maximum point (0.45, 1.63) (0.45, -1.63) O (-0.45,…

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Q: The displacement (in centimeters) of a particle s moving back and forth along a straight line is…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: An implicit equation for the plane passing through the points (–4, 0, –4), (–6, 1, –4), and (−3, 5,…

A: Please see the below picture for detailed solution.

Q: Find f'(x) = = 4-5 sin(x) cos²(x) f(x) = -4 sin(x) + 5 cos(x)

A: Given : f(x)=-4sin(x)+5cos(x)   To Find : f'(x)

Q: Find the equation of the tangent line to the graph of the function at the indicated point f(x)=x^2-1…

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Q: You are given the graph of a function f. يجا concave upward x Determine the intervals where the…

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Q: Find the Taylor series generated by fat x = a. f(x) = 8*, a=3 Choose the correct answer below. Ο Α.…

A: According to question,Given Function,fx = 8xat x = a

Q: Let ƒ (x) = tan(x) defined on the interval (-3,7) and let ƒ¯¹(x) = tan−¹(x). From the 2 following…

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Q: 4. y(4) + 17y" + 72 = 0.

A: To solve the following differential equation. y4+17y''+72=0

Q: ·S. -14 x²√x² +9 Evaluate the integral: -da (A) Which trig substitution is correct for this…

A: To evaluate the integral: ∫-14x2x2+9 dx (A) To determine the correct trigonometric substitution for…

Q: The total cost (in hundreds of dollars) of producing a slide rules per day is C(x): = 8+ √2x + 25.…

A: Given: C(x)=8+2x+25

Q: Which of the following iterated integrals computes the volume of the solid under the graph of the…

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Q: 7. Compute the volume of the solid obtained by rotating the region enclosed by y = x, y = 2, and x =…

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Q: 1 So √² (1²+ √2) de is (1+√) A B C In 3 In 5 2 In 3 divergent

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Q: Let f (x) = 4x5/4 + 2x³/2 + x. Find ƒ' (16). That is, find ƒ' (x) evaluated at x = 16. Answer:…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Check whether the function y= Find xy' for the function y = xy' = cos 5x X cos 5x X is a solution of…

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Q: (a) Use the Chain Rule to find y' if y = (3x+4)3, then check your solution using another method. (b)…

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Q: It is estimated that t years from now the population of a city will be P(t) = 10(70+ 3t)² - 1700t.…

A: We need to find rate of change in population.

Q: If sin 0 - and is in Quadrant IV, find cos (20). = 7 25

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Q: 5. x + x√x 2 1 51 2 |4* - 5*| dx

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Q: Find f. f ''(t) = 9/ squareroot t,    f(4) = 31,    f '(4) = 12

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Q: Question 3 find dervative of f(x) = 5(2x+3) O 5(2x+3). In5 O 5(2x+3) O 5(2x+3).2. In5 none of the…

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Q: If you know that: f(3) = 17 and So then: foo 0. f'(0) do = f(x) dx = −4

A: We will find the required.

Q: An antiderivative ofis Inle* - 11. Which of the following statements about the integral A B The…

A: given  antiderivative of exex-1 is lnex-1A=∫-22exex-1dx

Q: Find f. f ''(x) = 20x3 + 12x2 + 4,    f(0) = 6,    f(1) = 1 f(x) =

A: According to question,Given Derivative,f''x = 20x3 + 12x2 + 4,f0 =6,f1 = 1

Q: Find the equation of the tangent line to the graph of y = 8 at x = 1. NOTE: Round the slope to one…

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Q: Discontinuous, but continuous from the right, at 4

A: We need to choose correct option.