Evaluate the limit using L'Hôpital's rule e + 2x - 1 4x lim x 0

Q: Find the requested value and identify each of the other values as the periodic rate, the number of…

A: The given question can be solved using the concept of compound interest.

Q: 2. Computea²ydA, where R is the region bounded by the parabola y = y = 2x. x² and the line

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Q: 2. Use the graph below to evaluate the following: y-2x-8 (a) Using geometry, compute the net area…

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Q: Part 1. Determine which trigonometric Function is equal to Cos X Cotx t sin X A) CScx B) Cotx C) cos…

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

A: Given query is to find series converges or diverges.

Q: 8. Let f and g be the functions f(x) = sin(arcsin(x)) g(r)= arcsin(sin(x)) For suitable values of x,…

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Q: Use the product-to-sum identities to rewrite the following expression as a sum or difference.…

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Q: Determine whether the following series converges. Justify your answer. 2 Σ √6k k=1 V 6k

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Q: Water flows into an empty reservoir at a rate of 3000 + 190t liters per hour (t in hours). What is…

A: Given :Rate : 3000+190ttime 0 to 7 hours

Q: At a certain distance from the base of a tree a student surveyor measures the angle of elevation to…

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Q: Find the 1000th derivative of F(x)=xe-*

A: The given function Fx=xe-x. We have to find the 1000th derivative of Fx.

Q: 15x - 2 3x²+12-1 dr

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Q: 1 cos(x) [sin r]³dx. 1) Use the Substitution Method to evaluate the integrat To be clear, the lower…

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Q: ƒ'(x) =

A: Topic:- application of derivatives

Q: 1. Find dy for the following by implicit differentiation: 302²-8 cot y = y² - 30a

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Q: A projectile is shot from the top of a building 96 ft high from a gun at an angle of 30° with the…

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Q: 3. 4. 5. 6. y(1.5, 5) fy = f(x) (2, 8) Ay = f(x) 6 y= g(x) 3- (-2, 8) 8F (-2, 0) (2, 0) -3 3 71, -3)…

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Q: Suppose that f(x, y) = 2x + 4y on the domain D= D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. Then the…

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Q: | 2/3 X 1+√x O a. 1|2 O C. dx - -x² + 2z2(x + 1) + C 1 1 x2 + x2-x+1+C 1 e. None of the above. 3 1…

A: Given: I=∫x1+xdx   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C And use the common integral.…

Q: for x. A. x = 11 √2 B x=22 √2 ८. x = 11 √√3 22 D. √2 е. 22 X= X= X A 45° 22

A: Solve for the x

Q: Question 3.3. Let R be the region under f(x) = 5xe, over the interval [-1,1]. Calculate the area of…

A: Let's find area under the given region.

Q: Consider the following curves in R³. State under what conditions they implicitly define y as a…

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Q: 3. The path of a golf ball after being hit by a club can be modelled by the function h(t) =…

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Q: A motorcyclist being monitored by radar accelerates at a constant rate from 0 mph (v(0) = 0) to 50…

A: Acceleration

Q: Question 2 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: Why is the interval of interest [0,17], how did they find that?

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Q: Find the derivatives of the following functions. 1. a) y = (2x) (e5x) c) f(x)=√ex b) f(x) = 2x³-x² +…

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Q: Evaluate the surface integral f(x,y,z) ds using a parametric description of the surface. S f(x,y,z)…

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Q: Evaluate yda + rydy along the given path C from (0,0) to (3, 1). C is the straight line path. a) b)…

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Q: u 8A (2)

A: 10. c) The given series ∑n=1∞4n4. We have to check the convergence of the series using p-series…

Q: ∫5x^5ln(3x) Intergration by parts

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Q: Use the sum and difference identities to determine the exact value of the following expression.…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 1-4 Find the linearization 4 1. f(x) = x² + 3x², L(x) of the function at a. a = — · 1 2. f(x) = ln…

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Q: A manufacturer produces a toy sold during the summer season at a unit production cost of $5. The…

A: The maker's normal benefit is $1,000.    $5 creation cost x 200 toy units = $1,000              $2…

Q: A laser pointer is placed on a platform that rotates at a rate of 18 revolutions per minute. The…

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Q: #1) Find the solution to the IVP of syste 3 */ = [ ²³ 5] *₁ × ( 0) = [2²] x

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Q: Sully is having a party and wants to fill his swimming pool. If he only uses his hose, it takes 4…

A: NOTE: Refresh your page if you can't see any equations. . x=time required to fill pool by Sully's…

Q: Particular solution by inspection Solve the following equation: y (7) Skip if u already did this or…

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Q: 4. Find the surface area of the part of the paraboloid z = x² + y² lying inside the cylinder x² + y²…

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Q: Evaluate the integral or state that it diverges. ∞0 2 X (x + 5)² -dx Select the correct choice and,…

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Q: Determine the exact value of the following expression. sin(11π / 12) or sin ( 11π *over* 12 )

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Q: Write the function in the form y = f(u) and u = g(x). Then find -2 9x x- (₁ - 2 - ² ² = 4 2 as a…

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Q: Σ n=0 n! 2.5.8 (3n+2)

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Q: Find the intercepts and the vertical asymptote of Enter the intercepts as points, (a, b). f(x)= The…

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Q: x² - 49 X m →7 8 ln(x − 6)

A: Given query is to find the limit of the expression.

Q: Find the function's absolute maximum and minimum values and say where they are assumed. f(x)=x 4…

A: We are required to find the absolute maximum and absolute minimum value of the function f(x)=x13 in…

Q: on At what point ds the curve y = √T+2x is the tangent line perpin dicular to the line 6x +2y=1

A: Given query is to find the point in the curve where tangent is perpendicular to the given line.

Q: 1. Find the volume of the solid that lies under the plane z = 2 - x - y and above the square [0, 1]…

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Q: Find the exact solution for e2-6e - 27 = 0. If there is no solution, enter NA. Enclose arguments of…

A: Given Equation:- e2x-6ex-27=0

Q: 3. $13. The demand function is D (p) this would be a good idea. A movie theater is planning to raise…

A: The demand function is D(p)=10015-p4 and current price of movie tickets is $13.