Find the length of the curve -0 Arc length= x = -√(y – 3), √y(y-3), 1

Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied.…

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Q: Given that f(x) = x³h(x) h(-1) = 4 h'(-1) = 7 Calculate ƒ'(−1). Hint: Use the product rule and the…

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Q: Find an expression for the slope of the se- cant line through the points P(3, g(3)) and Q(x, g(x))…

A: We know slope of secant line passing through the points x1,y1 and x2,y1⇒m=y2-y1x2-x1

Q: 2=7 ry=2 FRE y=0 z=0 •x=√√/4-y² x=0 1 z+1 dx dy dz

A: To find the following integral. ∫z=0z=7∫y=0y=2∫x=0x=4-y2 1z+1 dx dy dz

Q: 1. DETAILS Suppose you drive your car on a cold day and the engine overheats. When you park your…

A: The answer is in step 2.

Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

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Q: e an equation that is a necessary constraint so that the matrix equation Ax = 6 has a solution. 1 -4…

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Q: 如果出 x--x+2 im

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Q: what are the three points of the circle with the given info?  center is (3, -7/8) and radius is…

A: Solution: Given a circle with center (3, -7/8) and radius 4/3, the three points on the circle can be…

Q: If we use the quadratic formula to solve x²-5=6x what do we get? 5±√ 25+24 2 −6+√36+20 2 -6+√36-20 2…

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Q: Decide whether the integral is improper. Lin In(x³) dx O proper O improper Explain your reasoning.…

A: NOTE: Refresh your page if you can't see any equations. . if the upper and lower limits are finite…

Q: 3. Sketch a graph of y = 2 sin(2x - π) + 3. √√√ List below 5 points of 1 cycle.

A: Solution: The graph of y = 2sin(2x - π) + 3 would look like a wave that oscillates between y = 1 and…

Q: For what function f and number a is the limit lim the value of f'(a)? 5t² - 8t+3 t-1 1. f(t) = 5t² -…

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Q: It is known that g(x) dx = e5, ſ² g (x) dx = 4, and ſ² g (x) dx = 12. Find ſ2 g (x) dx. +16 e5 - 16…

A: Given :

Q: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate…

A: Given differential equation:- 2y2+6xdx+2xydy=0

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A: here  we have graph of a function f over interval ( -7 ,7 ) then we have to find the graph of…

Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: Suppose strontium-90 decays at a rate of 2 percent per year. (a) Write the fraction P of strontium…

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Q: Your cell phone plan charges a base charge each month plus a charge per daytime minute of usage. In…

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Q: The population of the Northgoat neighborhood has been growing steadily since 1986. In 1989, the…

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Q: f(a+h) Construct a right triangle whose hypotenuse is the line segment (a, f(a)) and (a + h,…

A: NOTE: Refresh your page if you can't see any equations. . point J and K are

Q: 3. Let f(x)=x²-1. (a) (b) f(1+h)-f(1) h Simplify the expression Use part (a) to calculate the slope…

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Q: Use technology to complete the table and investigate the limit. (A graphing calculator is…

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Q: Find T, N, and K for the plane curve r(t) =(8cost+8t sin t)i + (8sin t-8t cos t)j, t> 0.

A: ''Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Assume that a population was 796 when t=0, and 6 years later it became 2117. Assuming the population…

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Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) interval [0, 2]. In other…

A: Givenf(x)=12x+1   We are required to find Values of c guaranteed by the Mean Value Theorem for f(x)…

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Let A = 3 -1 -31 4 Av = 3x - 3y ‚ B = OT B(A) =( 6x-6y x 12²2 and 7 = (x, y). [24] 1 - 1x + 4y ✔ or

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Q: x²+3x Compute the limit limx→∞ x³+2· -

A: Given limx→∞x2+ 3x-x3 + 2

Q: A quadratic function f(x) = ax² +bx+c passes through the points: (2,-29), (1, -9) and (5, -161).…

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Q: For the function, find the domain. e5/y In(z) X {(x, y, z) | x = 0, y > 0, z # 0} {(x, y, z) | x >…

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Q: If lim f(x) = 2.5 and lim f(x) exists, then what is the value of the limit where it exists? T→3 2-3…

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Q: A function f is even if f(-x) = f(x) for all x in the domain of f. If f is even, with lim f(x) = 2…

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Q: Find the exact value. tan 0 = — where 90 ≤ 0 < 180 Find: sin 01/201 /5 2 O 2√5 5 √5 5

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Q: f(x) = 0 f(x) = 0 0 1. lim f(x) = x-2- 2. lim f(x) = x-2+ 3. lim f(x) = x-2 4. lim f(x) = = x-0 5.…

A: see below the answer and explanation

Q: Suppose that a particle moves along a straight line with velocity v(t) = 8-3t, where 0 ≤ t ≤ 1 (in…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Given differential equation ( 5x4y + ey )dx + ( x5 + xey -2y )dy = 0

Q: For the sequence An = its first term is its second term is its third term is its fourth term is its…

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Q: In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: Find an equation of the plane. The plane that passes through the point (-3, 2, 3) and contains the…

A: To find an equation of the plane that passes through the point -3, 2, 3 and contains the line of…

Q: intercepts and asymptotes to decide which of the following functions has as its graph. 1. f(x) 2.…

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Q: 4. Using the definition of the derivative, find f'(x) for each function f(x). State the domain of…

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

Q: 10) The radius of convergence of the power series E-o n² (z - i) ²n is (a) 1 (b) co (d) None of…

A: 10. The given data is: ∑n=0∞n2z-i2n Find the radius of convergence of the power series.

Q: 4. DETAILS - Let p(x) = a (x − b)5(x + c)³, where a, b, and c are constants and a is negative. Which…

A: end befavior is based on degree and leading coefficientleadinf coefficient(LC) is coefficient of…

Q: 6. Let f(x) = x³ + 3x +1. a. Find a simplified expression for f(x + h) and f(x + h) − ƒ(x). b. Find…

A: (6)  f(x)=x3+3x+1(a+b)3=a3+b3+3ab2+3a2b

Q: Find B and t for the space curve r(t) = (6 sin t) i + (6 cos t)j + (8t) k. T - (cost) i+ [-sin t) ;+…

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Q: g. f(x)=(1-3x)²(x² −2)³

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Q: Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether…

A: Given:  Aim:  To spot extrema (local or absolute) .    Question: