Evaluate: lim 1+ O 1 a 00 none of the choices In aª (A)

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x)= 2x…

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Q: lim h→0 f(1+h)-f(1) B)-f(1) h 5/14 Correct where f(x) = 9x² + x - 4

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Q: Find the following rates of change using a graphical method using the graph shown. a) The average…

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Q: 1) de³ +3- dx2 22 Differential Equation dy = 0 da

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Q: 2. Determine the centroid of the area bounded by the curves y = 4x + 16, x = -2x = 5 and x-axis.

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Q: V.P. [ -8 COS X (a²-x²) -dx, (a> 0).

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Q: 19. Find x from the following equations: 27x = 9y 81*3-* = 243 A. 2.5 B. 2 C. 1 D. 1.5

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

Q: For the function A whose graph is shown, state the following. (If the limit is infinite, enter 'o'…

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Q: 8 The angle between 0 and 27 in radians that is coterminal with the angle -π in radians is 3

A: The answer is given below:

Q: 2. Evaluate the double integrals by iteration. whre B is the region 0≤x≤ 1, ² ≤ y ≤I VPR

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Q: Given f(x) = 3√x, find f'(x) using the limit definition of the derivative, f(x +h)-f(x) f'(x) = lim…

A: Given the expression for the derivative of the function is: f'x=limh→0fx+h-fxh And fx=3x

Q: 5. fe²x sin x dx

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Q: (3²+ 3a)dA, where D is the region in the 3rd quadrant between the circles 2² + y² = 1 and x² + y² =…

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Q: Prove that if i and k are relatively prime positive integers, for every positive integer l the…

A: Concept: Number theory: Number theory is an area of mathematics that aids in the study of the set of…

Q: Evaluate [™ªx x cos(x) dx

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Q: dx dx

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Q: 17. If a vector function v(t) = (t, ln t, t-²) is given for a scalar function Ø = x Inz + √y-cos(x +…

A: We have to determine the line integral.

Q: B) Find the area between the parabolas x = y² - 1 and x = 2y² - 2

A: Topic = Area

Q: 1. f(x) = x² − 16x, [3, 10] 2. f(x) = 15 – 2x − 2x², [1, 2] 3. f(x) = 2x³ + 3x² − 12x + 24, [−4, 0]

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Q: Find the interval of convergence of (x - 2)" In (5n) n=2 (Use symbolic notation and fractions where…

A: To find interval of convergence of ∑n=2∞ (x−2)nln⁡(5n) Let an = ∑n=2∞ (x−2)nln⁡(5n) Therefore, an+1…

Q: = Find the equation of the tangent line to the curve (a lemniscate) 2(x² + y²)² = 25 (x² - y²) at…

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Q: f(x) g(x) XX 2 5 6 7 The graphs of the functions f and g are shown below. If h(x) = Y A Provide your…

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Q: 5. Verify the three conditions of the hypothesis of Rolle's theorem are satisfied by the given…

A: 5)  As per our norms we have to write one question at a time kindly repost remaining questions

Q: J 6x x +3 dx

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Q: Determine whether the differential equation . (8x² − 2xy + 7) dx + (4y² − x² + 8) dy = 0 is exact.…

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Q: 201 Q1: Locate the zeroes of the following functions and determine their order. 2) z³ sin(z - 1). 1)…

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Q: 15. Solve for x: 37x+1=6561. A. 1 B. 2 C. 3 D. 4 16. If 3a = 7b, then 3a²/7b² = A. 1 B. 3/7 C. 7/3…

A: 15. The value of x such that 37x+1 = 6561 16. The value of 3a27b2 such that 3a = 7b

Q: 17R(1,1,3), S(3,-3,6) and U(-2,4,7) are three vertices of parallelogram RSTU. a) Find the…

A: Given that the three vertices of a parallelogram RSTU are R1,1,3, S3,-3,6 and U-2,4,7 Now, let the…

Q: 2x+5 x-3' to y = = ( 2. For the rational function y = transformations compared write the equation in…

A: We have to solve given Questions.

Q: Find F(s). ℒ{e−8t cos(6t)}

A: To find the laplace transform of the given function.

Q: Rewrite cos(x−π6)cos(x-π6) in terms of sin(x)sin(x) and cos(x)cos(x)

A: This is trignometry problem

Q: Write the first five terms of the sequence: {√n² + 2n = n}=1 Determine whether the sequence…

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Q: 4. A triangle has sides of length 13 cm and 22 cm and has an area of 100 cm² a) Use Heron's formula…

A: We have to solve the side and angle of given triangle.

Q: Find a positive and a negative coterminal angle for each given angle. T 5) 29t 18 6) 2

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Q: Let h(x) = tan(3x + 4). Then h' (2) is and h'' (2) is

A: The function is given by hx = tan3x+4 To evaluate: The values of h'2 and h''(2)

Q: Find all solutions to 2 sin(0) 0 = = - 1 on the interval 0 ≤ 0 < 2π

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Q: Given f(x): 5x² 6x +13, find f'(x) using the limit definition of the derivative. f'(x)=

A: Given problem:- Given f(x)= = 5x²-6x+13, find f'(x) using the limit definition of the derivative.

Q: Aw 2.f(x) 4 3. f (x) = x 9 =

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q.9) A series E1 ((-1)*+¹) a) Converge by alternating series test c) Converge by integral test b)…

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Q: If f(x) = x³ + 1.5x290x+16, find analytically all values of a for which f'(x) = 0. (Enter your…

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Q: Find the total number of permutations of the word 'ASSASSINATION', where all vowels are ALWAYS…

A: We have to find the number of ways

Q: ©√ √16- Evaluate 1 √/16 - 16x2 -doc

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Q: Find the values of a that satisfy the inequality a. (x-1)(3x) > 0 b.2< 3x+1 2x+4

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Q: 7- (a) If a is a constant and cannot be equal to 0, find the critical points of f(x) = 3a + 6x (b)…

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Q: C

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Q: 19 18. sin x cos x dx 1-3cos 2x dt 1+ e-t

A: The given integrals are;  19) sinxcosx/(1-3cos2x)  18)1/(1+e-t).

Q: Find the regions where sinx sx.1

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Q: Find the regions where sinx sx.1

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Q: 10- There is a rectangular playing field in Alaska Denali Park for a grizzly Bear with an area of…

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Q: Using implicit differentiation, find Provide your answer below: dy dx Content attribution dy dx √xy…

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