√²x² in x dx = {_-6 -00, (p+1)²¹ p>-1 PS-1

Q: Find the center and radius of the sphere with equation (x + 4)² + (y − 4)² + (z − 5)² = 25 Center:…

A: We know that general form of the equation of sphere(3-d) is given as -  (x-h)2 + (y-k)2 + (z-l)2 =…

Q: (b) fx d -2

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Q: A new car lists for $17,760 and depreciates by 45% per year. Find its value after the following…

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Q: ) if fcx) f (x) = = f 2 [ x² + x² +5 sin (+) dt

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

Q: a. Identify the function's local extreme values in the given domain, and say where they occur. b.…

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A: Given vector field F( x,y,z ) = 9xy2z2i + 6x2yz3j + 9x2y2z2k if the vector field is conservative…

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

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Q: 9) The Mean Value Theorem shows that for a differentiable function the average rate of change over…

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: A circular arc has measure 13 ft and is intercepted by a central angle of 2pi/3 radians. Find the…

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Q: nd the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: Given query is to apply mean value theorem.

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

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Q: A particle moves along the y-axis so that its position at time t is given by y(t) = t² tan() for t >…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 7 — 4t, where 0 ≤ t ≤ 1.5…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the distance in exact form between the point P(−4,1,0)(-4,1,0) and the point Q(−3,3,2)(-3,3,2).

A: concept Let two points   ( x1,y1,z1 )  and ( x2,y2,z2 ) then distance between them is denoted by = P…

Q: Let a 0, THEN f(b) > f(a).

A: Given f satisfies the hypotheses of the mean value theorm let f be a function defined on [ a,b ]

Q: 0.2x Find the average value of the function f(x) = e Express your answer in exact form. on the…

A: Topic = Function

Q: Use integration by parts to find the following: [(t + 7)e²t+3 dt = Hint: Use the substitution +C…

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Q: Find the difference quotient of​ f; that​ is, find (f(x+h)−f(x))/h​, h≠​0, for the following…

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Q: . If cos 0 = 0.8 and 270°<<360°, find the exact value of sin 20.

A: Remember the formulas: sin2θ=2sinθcosθ and sin2θ+cos2θ=1

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

A: Let center of circle (h, k) and radius r

Q: 2. Fully factorise 4x4 − 8x³ - 7x² + 11x + 6.

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Q: O Setup the Riemann sum 5 x³ dx = lim n→∞ n k=1 f(x) dx = lim Σ f(x) Ax for the given integral. n→∞…

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Q: Which of the following is an oblique asymptote of 0 يع | من O 3 O 814 x 3 4 - - I + Y = 1 4 13 Y 4…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Use one-sided limits to determine whether the following limit exists and its value. If the limit…

A: Given query is to find indicated limit.

Q: At what value(s) of x does cos x = 8x? X= (Use a comma to separate answers as needed. Type an…

A: Topic:- calculus

Q: (0.1) (2-3) 47

A: Graph of the function is given, we have to find equation.

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

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Q: (b) Use the fact that when t = 0, we have P = 10, to find C. NOTE: Enter the exact answer. C = (c)…

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Q: Consider the function f(x) = 3x² + 2x² - 6x4 - 6. An antiderivative of f(x) is F(x) = Ax + Bx™ +…

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Q: Find the following for the equation f (x) = x² + 9x - 8 Write infinity instead of symbol where…

A: According to bartleby guidelines we supposed to the first three subparts of multiple subparts kindly…

Q: If f(x) = 19x + 3, find the instantaneous rate of change of f(x) at x = -2

A: If fx=19x+3, then to find the instantaneous rate of change of fxat  x=-2.

Q: Find the integral of the following function by resolving into partial fractions, then select your…

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Q: A. An angle between 0 degrees and 360 degrees that is coterminal with -30 degrees _____degrees

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Current Attempt in Progress In 1774, Captain James Cook left 10 rabbits on a small Pacific island.…

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) +² + 6x + 9 g(x) = 6x + 25 -10 -5 y…

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Q: Covid pandemic caused a company annual revenues to drop from 530M in 2019 to 386M in 2021. If the…

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Q: luate the following integral: -2t sin(3t) dt

A: Topic:- application of integration

Q: Evaluate the following integral So axe¹x² Where a = 0.4 and b = 0.59 Give your answer to 1 decimal…

A: dxndx=nxn-1∫exdx=ex+c

Q: Answer the following questions about the function whose derivative is f'(x) = a. What are the…

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = -x + 9 8 g(x) X 10 00 4 2 = f

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Q: For each of the following decide whether the vector field could be a gradient vector field. Be sure…

A: According to bartleby guidelines we supposed to do the first one of multiple questionskindly repost…

Q: Estimate the area under the graph of f(x) = rectangles and right endpoints. Rn = Repeat the…

A: To estimate the area under the graph of fx=1x2+3 over the interval 3, 7 by using five approximating…

Q: This problem will lead you through the steps to answer this question: A spherical balloon is being…

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Q: 2ydx + x(2+x²y)dy = 0

A: Let's solve given diffential equation by using inspection.

Q: Find the solution to the differential equations sec³ xdy = csc² y dx πT y (n) == 4

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Q: 2. Calculator may be used to determine the final numeric value, but show all steps in solving…

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Q: Find the solution to the differential equations xdt = (t3 - 3t)ln2xdx

A: Need to find out the solution of the given differential equation.

Q: 28. Swimming speed of fish For a fish swimming at a speed v relative to the water, the energy…

A: We need to determine value of v and sketch graph.

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

A: Given adjacent side = x opposite side = y

Q: 13. The statement "p implies q" is true. O Always True O Sometimes True O Never True

A: To determine whether the statement "p implies q" is always true, sometimes trueor never true.