Limits 8. Find the indicated limit using the graph of f(x) below. , V lim f (x) x-2 =

Q: 10z Sketch the region enclosed by y = 5, y = el, and a = 1. Find the area of the region.

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Q: Direction: Fill in the blanks with the next step in solving the solutions of the differential…

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Q: (a) (i) Calculate (4 + 6i)². (ii) Hence, and without using a calculator, determine all solutions of…

A: the complex number ..

Q: 3πt -? What is the value of Sin 4 2. What is the value of Tan 3

A: Given sin3π4            ⇒sin3π4=22=0.707

Q: Q1/ The volume generated by rotating the region bounded by the given curves y = √x + 1 + 2, y = 2x,…

A: Concept: The disk method: The volume of the solid created by rotating the region enclosed by the…

Q: Solve the following homogenous linear differential equation: (D^6+6D^4+9D^2)y=0

A: To solve the given differential equation

Q: Using double integral, the area of the region bounded by the lines y=x y=x/2 and y=2 equal :

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Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

A: Solution is here

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: Suppose N=N(t)=The number of bacteria at time t Where t is time in hours since 12:00 noon

Q: Which property of vectors is incorrect? a. â× b = -b ×â xã C. a. (b + c) = a + (b + c) b. (a + b) +…

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

Q: If Arnold earns a salary of $18,564 a year and is paid biweekly, how much is his gross pay per…

A: Here is the solution

Q: Q4: Let y = √t and t= x² then y(") = 0 if n= a) 2 b) 3 c) 4 d)5 e) others

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Q: Find the average value of f(x) = 3 sin (x) + 5 cos (x) over the interval 0, [0]. 3

A: The function f(x)=3 sin(x)+5 cos(x) over the interval 0,π3

Q: = -21n|1-√√x-2√√x+C - dx = Statement 1: 1 Statement 2: S √ √ 171- -√x (A) Both statements are true.…

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Q: Consider the following integral. dx Given the substitution u = x4 - 4, find du. du = ])dx dx Rewrite…

A: The given integral is: I=∫x3x4-4dx   ...1   As we know that; ∫1ax+bdx=1alnax+b+C And…

Q: In economics, the most economical quantity Q of goods (TVs, dresses, gallons of paint, etc.) for a…

A: Given Q=f(K,M,h)=2KM/hTo find f(240,750,1)=?

Q: Find the average value of f(x) = 2x3 2x² 3 3 Submit an exact answer using fractions if needed. + x -…

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Q: possible formula for the trigonometric function whose values are in the follo 0 1 2 3 4 5 6 -2 -5 1…

A: Topic:- function

Q: Q5: If y= tant and x = cost then at t= is (not that these functions in N) dx a) -1 b)0 c) d) I e)…

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Q: Let A, B, C be arbitrary finite sets from the same universal set U. - (a) Is it true that A - B C (A…

A: SOLUTION-

Q: Q1: If y=sint and t= sin x, then at x = a) 0 b) c) cosl dx² d) -cosl e) others

A: I have stated the used properties in the solution

Q: Solve 7 cos(5x) = 2 for the smallest positive solution. Give your answer accurate to at least two…

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Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around x=5. 2 A 128/15…

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Q: Biologists have proposed a cubic polynomial to model the length L of Alaskan rockfish at age A: L =…

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Q: -1 L 1 s2 + 2s

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Q: passes through the point P(3,7,2) and is perpendicular to the plane 3x − 5z – 7 = 0. -

A: The given point is P3,7,2 and the given plane is 3x-5z-7=0.We need to find the vector equation of a…

Q: Q1. Construct the reduction evaluate Ssind in ndx and use it to Qala) Use the inverse function…

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Q: 60. خدا x4 - 1 x5 − 5x + 1 dx

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Q: 48. If L = lim (cosec x)/(x, then the value of nL is - X->0* (A)1 (BY-1 (C) 0 (D) none of these

A: To evaluate: L=limx→0+ (cosec⁡x)1/ln⁡x Taking ln both sides, we will get ln L=lnlimx→0+…

Q: Sv x² - 36 dx

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Q: Use the second fundamental theorem of calculus to evaluate the following: x, x 20 10. [* f(x) dx if…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: Given that     F(x,y,z) = x2i+y2j+z2k ,  We have to evaluate ∫∫sF.dS , where S is the boundary of…

Q: f(t) = In Itsinx 1-sin x g(x) = x sin ¹3x + √1-9x² G(x) = x In (9 + x²) + 6 tan-¹ (-)-2x

A: Note: Since, in the first function there is a typing error "f(t)", it should be "f(x)" because it is…

Q: Question Given the function f(x) = 4x² + 6, find the value of c such that f(c) equals the average…

A: Given function is f(x) = 4x2 + 6

Q: Find the integral of each of the following: (a) S(-6x³ +9x² + 4x − 3) dx (b) f(12x²9x) dx

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Q: Problem Let y = f(x) denote the function defined as x² + x - 2, if x 2. -

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Q: A particle moves along a line with a velocity v(t) = -21 +5, measured in meters per second. Find the…

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Q: 1. Find the interest paid on a loan of $2000 for 1 year at a simple interest rate of 7% per year…

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

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: At 12.00 noon, there were 200 bacteria present.By 1:00 pm, there were 379 bacteria.

Q: a) The law of Cosines Given: a = 55 b=25 c = 72 Find: A-? B-? C-?

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Q: 5. Find the Taylor expansion of f(x)=x² - 2x + 4 at x = 2.

A: To find the Taylor expansion of fx=x2-2x+4 at x=2.

Q: At 12:00 noon, there were 225 bacteria present. By 4:00 pm, there were 427 bacteria. If the bacteria…

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Q: P1: Calculate the area bounded by the curves: C. y = e²x and x - 2y + 5 = 0..

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Q: 9/Find Parametric equations for the Line that is tangent to the curve r(t) = eti + (Sint)j + In…

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Q: John Jones just paid $3,202.50 for a lawn mower/tractor. If the percent markup based on cost is 83%,…

A: topic - percentage

Q: IV. Application: Newton's Law of Cooling 1. A thermometer reading 75°F is taken out where the…

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Q: 3. Find the distance between points P₁ and P2. (a) P₁(-1,1,5), P₂ (2, 5,0) (b) P₁(3,4,5), P₂(2, 3,…

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Q: a Find the general flow pattern of the network shown in the figure. b. Assuming that the flow must…

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Q: Using 1/3 or 3/8 simpson rule, find the area or volume bounded by the given curves,axes and/or…

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Q: 1 Sa dy secy tany S sin ²x cos²x dx 2. S

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