3- Find the length of the curves in Exercises 1-4. X = (y3/2/3) - y¹/2 from y = 1 to y = 9

Q: 5. Solve the equation = 170. 6. Solve the following logarithmic equations. (a) log, (+5) = log, 3…

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Q: Solve: 123 1 224 + 1 315 - 4x6 +...? +

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Q: Find an equation of the sphere concentric with the sphere x^2 + y^2 + z^2 + 4x + 2y − 6z + 10 = 0…

A: Topic = Geometry

Q: 5. y³ = 4(y + x²)

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Q: Find two polar coordinate representations for the rectangular coordinate point (-√2, √6), one with…

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Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

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Q: (D³ + 2D² - 5D - 8)y = 0, when x = 0, y = 0, y = 0, y" = 2

A: Given

Q: .. Consider the quadratic function y = 4-x². Using the limit definition, ind the derivative of the…

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Q: The figure is the graph of the derivative, f', of a function f on [-4,4]. A Determine the intervals…

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Q: dx Q3/ Evaluate four of the following integral. c. S TI dx sec²x d. S- e. f(3x + 2)5 dx

A: Topic = Integration

Q: 3. Let there be some a, b ER such that f(a)f'(a) = f(b) f'(b) + 1. Show that f f(x)f"(x)dx ≤ 1.

A: This is a problem related to integration. Based on the general formula and concept we will prove the…

Q: why it is 7rad over 4??

A: why it is 7rad over 4??

Q: Which of the following is not true? C 4dx 4dx A So √X(X+6) = lim So c+∞ ¹0 √x(x+6) 5 dx dx B S = lim…

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Q: Evaluate the following integrals: 4x 6. ²x3x²y²dy dx -TT/3 7. p² sin 0 de dp Jπ/6 S3

A: The integration of the integral is  6) 3x2y2 7) (row) 2sin(theta).

Q: Find the derivative of y with respect to x. y= (x8 Inx) 5

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Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

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Q: Find all critical points of f(x) = 3 + 12x - x² and use the First Derivative Test to determine…

A: Given function f(x)=3+12x-x2 To find critical points we need to differentiate the function f'(x)=0…

Q: Find the transition points. y = 3x³ - 45x³ (Use symbolic notation and fractions where needed. Give…

A: We have to solve given Questions.

Q: In2 fin² coshx dx

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Q: what is the basic concept of a limit? How is a limit calculated? What techniques / rules can be used…

A: We have to answer given Questions.

Q: Question 1 A triangular trough is 10 ft long, 6 ft across the top, and 3 ft deep. If water flows in…

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Q: S 10dz 4z3-4z2+ 5z 2.

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Q: R 쫘 = 0.138 & R" . R₁ " 0.126

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Q: The area between the curve y = 1/x, the y-axis and the lines y=1 and y=2 is rotated about the…

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Q: use the graph of the function √²³ (x³²-6x) dx to explain the geometric meaning of the value of the…

A: Given function ∫03 (x3-6x) dx This below image is the graph of the function

Q: A sort of "decay" Suppose that newly-baked cupcakes are taken out of the oven which is set at 100…

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Q: Consider the function. 700----14 Identify the domain off. (Give your answer as an interval in the…

A: We need to fill answers.

Q: Find the derivatives of the given functions using the rules of differentiation. 1. Supposed that you…

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Q: If the currency-deposit ratio is 14% and the reserve ratio is 15%, what is the size of the money…

A: Money multiplier

Q: 2. What details are used in order to analyze the polynomial function and analyze to sketch the…

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Q: J 2+2 cot (2²+42 - 3) -dz

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Q: 2. (5 pts.) If f(x) = xºex, find f'(x) and f'(1).

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Q: 2 Let f(x) = 5x4 -/+8√x-3. a) Find f'(x). (b) Find an equation for the tangent line to the graph of…

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Q: Using Simpson's method off, no spaces) Blank 1 0.66 √√x dx for n= 4 is equal to 0.66 (use 2 decimal…

A: As we know from the Simpson's Rule: ∫abfxdx=∆x3fx0+4x1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-1+4fxn-1+fxn…

Q: S 10dz 4z³-4z² + 5z

A: We have to find value of given Integral using partial fraction.

Q: Is it possible to Solve all the points with Finding Domain and Range y= sin x 2) y = cos x 3) tan y…

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Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

A: Explanation of the answer is as follows

Q: Compute the directional derivative and gradient of at (2,-1,0) in the direction of the unit vector…

A: Dot product of A.B is ad+be+cf where A=<a,b,c> and B=<d,e,f>.

Q: n°xf(x) dx = x₁ If f is continuous on [a,b], then A) True B) False <f(x) dx

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Q: 3 3. √√26.91

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Q: Q3/Evaluate four of the following integrais dx dx c. fd. sex C. sec²x e. f(3x + 2)5 dx

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Q: dx ylnx dy || y + 1 X 2

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Q: Suppose that the marginal cost function of a handbag manufacturer is C'(x) = 0.046875x² - x+275…

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Q: consider the function y=−3sin(4x−π/2)+1  A) Graph the function over exactly two cycles. (Describe)…

A: We have to graph the given function.

Q: If u = x² tan equal to (a) (c) x - y x + y - 2 + V² 2 X X -, y x + y x - y x² + y² 2 X - y - y² tan…

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Q: Determine the derivative of the function y 318

A: Topic = Derivative

Q: Determine the intervals on which the given function is concave up or concave down and find the…

A: The graph of  y =f(x) is concave up on those interval where f"(x)&gt;0 . The graph of  y =f(x) is…

Q: Assume y = f(x) is a function that is continuous on the real line. Which of the following statement…

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Q: Which of the following is equal to lim h→0 Old + 1/1/12 2 dx +=h { (20²2 +20)] - [2²] + d [1 dx da 2…

A: This is a problem related to differentiation. Based on the definition of differentiation we will…

Q: SUBJECT

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