Prove using the definition of a limit. lim x→2^− (1/((x^2) − 4)= +∞)

Q: Find the solution of 2y-y² sec²(xy²) + (2x − 2xysec² (xy²))y' = 0 given y(1) = 2.

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Q: Evaluate the trigonometric function below from x = 1 up to x = 5. S(sin√T sin √x) dx √x

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Q: eets 1 X STBunn Truck Sheet - Goo X Shelton State X LG myShelton Compute the derivative of the…

A: Given;  Sqrt(9+4x+sinx).

Q: The graph below is the function f(x) 4 -5 -4 -3 -2 -1 1 2 Determine which one of the following rules…

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Q: Country A has an exponential growth rate of 4.3% per year. The population is currently 5,541,000,…

A: An exponential growth rate of 4.3% per yearThe population is currently 5,541,000 and the area of the…

Q: 1. f4x-³ dx -3

A: Find the integral

Q: [x(4x²+6)√2x² +3dx = is

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Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: 24. Determine the period and amplitude of the function y = 3cos x. A. 2x3 B. D. 1,3 C. 312 KIN

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Q: Q3: Evaluate the following integrate: (chose three only) 1. dx 1+x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: s (²) + y Using homogeneous method, find the solution of xy' = xcos given y(1) = 2.

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Q: 2. A 20-foot chain with density 4 lb/ft hangs off the roof of a building. How much work is required…

A: We are asked to find the workdone of the chain

Q: Relevant Relationship: There is a functional relationship between Price of an IPod Touch,p and…

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Q: 16 Let x= 3 Part A: Determine the reference angle of x.. Part B: Find the exact values of sin x, tan…

A: Use Trigonometric properties

Q: Express e in the form a + ib. (Simplify your answer completely.) z = -0.26-7

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Q: Question 10 Find the partial derivative of z with respect to x (8) f ах (22−y) = Əz C dz 2(x-y) 2²…

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Q: the base of the Cooling towers are used to remove or expel heat from a process. A cooling tower's…

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Q: Evaluate the function & (x) = x+8 for the given values of x. Write exact answers in simplified form.…

A: Given that, k(x) = √(x+8) Find values, k(-8), k(7), k(8), k(-10), k(6).

Q: Find the value (1) lim (x,y)-(2-3) (3) lim (xy)-(11) √x-√√y of the following limits: x²-2xy + y²…

A: As per the instruction, post the question again for question (5). For (1),    limx, y→2,…

Q: 55. The region in the first quadrant, which is bounded by the curve y² = 4x, and the line x = 4, is…

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Q: A table lamp emits light in the shape of a hyperbola. If the hyperbola is modeled by the equation…

A: 25x2 -144y2 + 3600 =0 here hyperbola is given divide equation by 3600 x2/144 - y2/25 = -1 y2/25 -…

Q: x²+x-2 x+1 8. Determine lim x→1 A. 0 B. -1 9. Determine lim ¹. X→1 x A. 0 B. -1 10. Determine lim…

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Q: What is not true about the curve y = Intersect the x-axis at (2,0). None of the Choices as x ∞, y →…

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Q: 5. Find the surface area of the figure. ************ 20m 5 20m

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Q: Problem 2 The region bounded by y-y-o.x-1.x=2 a) Sketch the graph and solve the area b) Solve the…

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Q: Use the Chain rule to find ().(). For the following functions: (1) u=xy-¹ where: x = e-2r cos-¹ and…

A: 1. According to question,Given Function,u = xy-1where,x = e-2r cos-1r   and   y = 2rcsc-12r

Q: Express In(z) in the form a + ib. (Simplify your answer completely.) z = -7 In(z) = n = 0, ±1, ±2,…

A: This question is related to complex functions, we will solve it using given information.

Q: 9. The volume of inflated beach ball is about 2423 cm³. What is the diameter of the ball?

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Q: √x-2 X-4 Evaluate lim X-4 using the following table of values. X f(x) 3.9 0.251582341868501 3.99…

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

Q: Question 12 Which of the following sections cannot be obtained from a cone? Select one: O A.…

A: if we cut the cone horizontally we get circle

Q: Which of the following graphs represents the equation (V+ 2)²(x+3)²_ (X + 3² - 17 (X 9 5 3 4 - 0 4 -…

A: (y+2)2/9 +(x+3)2/4 = 1 compare this equation with  (x-h)2/a2 + (y-k)2/b2 = c where a = horizontal…

Q: Find the area between the inner and outer ovals of the curve r²=1+sin(theta). Please make a graph…

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Q: Given x= what is the exact value of sin(2T-x)? 1 2 NI O 2 05/50 2

A: Use trigonometric coordinate

Q: Evaluate the integral I. integral range of 0 to 1. ((9/1+t^2)j + (6t^5/1+t^6) k ) dt Using  u = 1 +…

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Q: 5 4 3- 2- 1 -5 -4 2 3 -1 -2 -3- -4 -5+ In the above graph of y = f( x ), find the slope of the…

A: In the given graph of y=fx, to find the slope of the secant line through the points -4, f-4 and 1,…

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: See the answer below

Q: You plan to invest in an account which pays 5.5​% compounded continuously. If the investment period…

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Q: Timber Inc. invested profits of $215,000.00 in a GIC at 4.51% compounded monthly. How long would it…

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Q: Question 8 The team installing the conveyor belts has a measuring tape in imperial units. Determine…

A: To convert the given length in feet.

Q: 7. What is the area bounded by the curve y=x and the line x-4=0? A. 10 32 B. 3 C. 32 D. 11

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Q: 7. ₁²5(5x - 3)² dx

A: Here we have to find the definite integral.

Q: Prove that for all positive integers n, we have 6″ Σ (1) * _ "(-¹)" 2 k=1 k odd IG

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Q: 5X 100 e 2x 구 + x)dx 3 e3x

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Q: 4) Determine the derivative. Do not simplify your answer. a) f(x)=2x³-√x+x³ c) ƒ(x)=-4 b)…

A: I am attaching image so that you understand each and every step.

Q: Which conic section is formed in the image shown? Circle O Parabola

A: Solution  Given that figure                 It is clear that

Q: #15) Determine y' a.y=sin 2x b. y = x² sinx co y = sin(-x) Determine #16.> d.) y = cos x sin x e-> y…

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Q: In general, the sketching of the trace of any function can be facilitated by dividing the plot area…

A: For given statement

Q: Q2: Find the for the following functions: dy dx 1. y = 1- and t = 1/ 2. y [In(x² + 2)²1³ 3. y = xsex

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Q: Establish the identity. sec ² (-0)-1 = tan ²0 Which of the following four statements establishes the…

A: See the answer below

Q: late the followin integrals: a) ²² - i)² dx z³+4 b) § 22 +4 dz when the contour C is the circle |z -…

A: We use here Residue theorem to find the complex integral