O- - 1 2x (In x)2

Q: Use the derivative of a function definition to find f ′(a) at the given number a. f(x) = (5x+6)1/2…

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Q: At which value of x is the function whose graph is shown below differentiable? 8 -8 -6 8 0=7 O=14…

A: To determine the value of x at which the function whose graph is shown below is differentiable.

Q: Find the interval of convergence of the power series: ∞ n [²(+1²] (x + 1)n 1)"] 2n n=0

A: To find the interval of convergence.

Q: Solve the following: √ ( sin 3x e3x 0 + 2) dx + 2x³ sin 2x) dx 2. 3. f sec x (secx + tanx) dx 7.…

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Q: Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x² + y²…

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Q: 24\x² dy_ (xy + y ² ) d x = 0

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Q: Find an equation of the tangent line to the graph of y = x³ 3x - 1 at the point (2, 1). - 09x+y+17 =…

A: We can solve this as follows:

Q: Determine the Cartesian equation of a plane that passes through a point (2,1,-5) and perpendicular…

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Q: A company determines that the cost of making units of commodity is C(x) = 480000 + 2.4x - 0.0008x²…

A: Given C(x)=480000+2.5x-0.0008x^2

Q: 1 Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

A: We have to find the required plane

Q: 1. Given a. b. C. [(5x + + + + 1) dx Evaluate the indefinite integral above Evaluate the integral…

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Q: f(x) is continuous on (-∞0,00) and has critical numbers at x = a, b, c, and d. Use the sign chart…

A: As per the company guidelines We can first three parts only. Please understand. Kindly repost the…

Q: (t² + 2t) dx = 2x + 8, x(1) = 1 dt

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Q: Determine whether the statement is true or false. True O False 00 [IF If ["f(x) dx and " g(x) dx are…

A: Convergence and Divergence. If the limit exists and is a finite number, we say the improper integral…

Q: Evaluate lim x - 4 3 O O 3 1. 4 3 2 3 (2x + 1)² 3x² + 8x - 3

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Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…

Q: Find the derivative: g(x) = 6x² e- X O g'(x) = 6xe (2-x) Og'(x) = -12xe** O g'(x) = 6xe (2-x) O…

A: We have to find derivative of given function.

Q: e The median weight of a boy whose age is between 0 and 36 months can be approximated by the…

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Q: B)Solve differential equation dx = -(x²+y) x+siny

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Q: 2)If z=(2√3-2i)2 then the angle 8 in polar 7n 117 6 6 form: خیار 1 117 اس 3 خبار 2 خبار 3 C

A: z = (23 -2i)2 z= (23 )2- 2*23 *2i  + 4i2 z = 12 - 83i -4 z = 8 - 83i

Q: What is the area of the region bounded by the curves y = sinx, y = cosx, x=0, and x=π/4. Round the…

A: What is the area of the region bounded by the curves y = sinx, y = cosx, x=0, and x=π/4. Round the…

Q: 1 Evaluate the integral: S√72+6 dx O 2√7x+6+C O 7 2√7x+6 +C ○ // √√7x + 6 + C 1 0- + C 3 7(7x+6) 2

A: use substitution method for solving the integral.

Q: If the demand for a pair of shoes is given by 2p+ 5q = 200 and the supply function for it is p-2q =…

A: In this question, we want to compare the quantity demanded and the quantity supplied for a pair of…

Q: 11. What point on the curve y = x4, does the normal have a slope of 16

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Q: Determine dy/dx given that y = 1+sin x COS C 1 O (1+sin x)² -1 O 1+sin x 1 O 1+sin x -1 O (1+sin x)²

A: The objective of the question is determine the derivative of the given function and choose the…

Q: which f(x) is negative. Determine the intervals on which f(x) is positive and on…

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: Q4A) Find area bounded by y = 0, y = √x-x² using double integration.

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Q: Əw 1. If w=x" f() show that x ax +y Əw ду = nw where n = integer.

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Q: Integrate the following: 1. fxsinxdx 2. fæcos2xdx 3. fe sinxdx

A: The given integrals are' 1) xsinx 2)xcos2x 3)exsinx.  Repost the next parts.

Q: Evaluate the definite integral. 2 X dx 1 + 4x 0

A: Take (1+4x)1/2 = t

Q: Use the Inverse Function Theorem to find (p-¹) (2) given that p(x) = √√x - 7. Note that p(−11) = 2.…

A: The solution is given below

Q: Write the inequality in interval notation and graph the interval. -5<x<5 The interval is 0

A: Use interval notation

Q: Find y': O 2(x + 1)(x + 2) ○ (x + 2) (3x + 4) O (x + 2) (3x + 2) (3x + 4)(x + 1) y = (x + 1)(x + 2)²

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: cel You are driving away from home. At noon, you are 212 miles away. Your velocity (miles per hour)…

A: This question is related to distance and speed, we will solve it using given information.

Q: Find , given y = log(ev+x²). dy dx

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Q: How many paths spell MANAGE? A N A A E a) 15 b) 100 c) 10 d) 20 M ΣΖ A E N G A

A: Use: Pascal's method

Q: 5) The function A(x) = A₂e-0.0077x models the amount in pounds of a particular radioactive material…

A: Both 5 and 6 has been solved as per the request of the student.

Q: dy Find by implicit differentiation. Then find the slope of the graph at the given point. dx 3x³y =…

A: " According to the guidelines issued by the company we are supposed to answer only one question.…

Q: Select all of the following tables which represent y as a function of x. X Y Y X y X Y -3 -2 -3 -4…

A: Explained below

Q: dw 3. If w = f(x, y, z), g(x, y) = C₁, h(x, z) = C₂ find: dx constants. c1& c2 are

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Q: Give the domain and the range of the function whose graph is shown to the right. When arrows are…

A: Graph of the function is given, we have to find its domain and range

Q: 1. If f(x) dx = 3, evaluate [[1 + 21(x)] dx using the properties of interga 2. If f(x) dx = -2 and…

A: As asked we can answer question no 1 and 4 as below.

Q: QUESTION 17 convex quadrilaterals can form a tilling of the plane. A. All B. Some C. No

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Q: Use Newton's Law of Cooling, T = C+ (To - C)ekt, to solve the problem (bonus) 11) A lasagna removed…

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Q: 3) Cindy will require $18,000 in 7 years to return to college to get an MBA degree. How much money…

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Q: Evaluate 3+x lim,¬4¹ (x-4)(x+2) 01 0 0 8-8 O +∞

A: The given limit is: limx→4+3+xx-4x+2

Q: A graph consisting only of a vertex is a complete graph. True False

A: Recall:  The complete graph on zero/one nodes is a trivial graph also known as the null…

Q: 1(3). If f(x) = 2 cos x + x³, find 06 2 4 8

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