Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using e9t - 1 lim t 0 sin(t)

Q: 00 Let S = an be an infinite series such that SN =5 6. N2 : %3D n=1 10 16 (a) What are the values of...

A: Given, SN=5-6N2

Q: From the top of a lighthouse 96 feet high, the angle of depression to a small boat is 37.1658°. How ...

A: Follow the procedure given below.

Q: Let flx)-4x H2 %3D

A: Topic = Function

Q: 3x5 – 20x3 f(x) = f'(x) = 15x2(x – 2)(x + 2) f"(x) = 60x(x² – 2) he relative maxinma relative mininm...

A: Given: - The function and its first and second derivative are given, f(x)=3x5-20x3f'(x)=15x2(x-2)(x+...

Q: 2. (x- ブメッテルーョ fx 3.

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: First of all we will find the type of the limit, and after this we will determine if we can use the ...

Q: 4 Suppose that f(x)dx = 7. Find f(x)dx for the following cases. -4 (a) f is odd (b) f is even (a) | ...

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Q: For f(x) = 3x2+ 8x + 3, find the equation of the tangent line at the following values of a. (a) x = ...

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Q: 3. lim f(x) = -2, 4. lim f(x) = +∞, %3D I-2- x-3- lim f(x) = 2 and f(2) = 0 lim f(x) = -0 I-3+ %3D I...

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Q: In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directio...

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Q: Given cost and price (demand) functions C(q) = 100q + 40,300 and p(g) = - 1.8q + 890, what is the ma...

A: Given query is to find the marginal cost at production level of 60.

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 2800 – 2p2

A: We are asked to find the elasticity of demand

Q: 5 -3 Example: Let a = -2 a2 -13 and b 8 |. Is b in Span {a,, az}? %3D 3 -3 1

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Q: 236 A 1-m spring requires 10 J to stretch the spring to 1.1 m. How much work would it take to stretc...

A: Given natural length of spring=1 mWork done to stretch it to 1.1 m is 10 JSo, W1=10 J, L0=1 m and L1...

Q: Using integrating factor, solve dy/dx - 2xy = x

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Q: 1. The function f(x) = 81 has a discontinuity at x = 9. 2. The function g(t) = |2x – 10| has a at r ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: solve ydx +(x-y)dy=0

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Q: Find the derivative of the function y = 7.7+ 6 -6*. dy dt %3D e Textbook and Media Save for Later

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Q: Calculus Question

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Q: Choose the type of the conic section. O hyperbola O parabola

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Q: 4x4 + 3 dx = 4x5 + 15x +2 1 + C 5(4x5+15x+2)² A) ++3x .5 + C 15 - x²+2x 2 (C In 4x + 15x+ 2+ C D) 5 ...

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Q: Ques Let R be the region bounded by the curves y = 4x-8, a = 0, y = 0, and y = 5. Let S be the solid...

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Q: Find an equation of the tangent line to the curve at the given point y = x³ – 3x + 1, (2,3)

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Q: (y+xy)dx-x2dy=0

A: Given query is to find the solution of the differential equation.

Q: Use the graph shown below and identify points from A through I that satisfy the given conditions. y ...

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Q: Carite tan 24t.10x= 14 equlin fer a lie pepanicubr to Hhe pait (10.6) and

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Q: 1 + X = 8 1sys 2 4y2'

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Q: 1 9 – x2 (A In(v9 – a?) + C - B 응sin-1(품) + C (C 3sin-1(x 3 + C D) sin-그(프) + C 3

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Q: A function and its graph are given. Use the second derivative to determine each of the following. Ch...

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Q: Use the Integral Test to determine whether the infinite series 15 is convergent. (Use symbolic notat...

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Q: 5. z - sin x cos y, x- Vi, y- 1/t

A: If z=f(x,y) and x=g(t) , y=h(t)  then dzdt =∂z∂xdxdt+∂z∂ydydt.

Q: 3x° - 5xe* + 2xcos(x) Evaluate: (A x3 - 5ex + 2sin(x) + C 3x4 B. - 5ex + 2sin(x) + C 4 C) None of th...

A: Given query is to eveluate the integral.

Q: Find 6z - 5/T + Type your answer without fractional or negative exponents. Use sqrt(x) forsqrt(x).

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Q: The radius of a spherical balloon is increasing at the rate of 0.6 cm/minute. How fast is the volume...

A: Given:- The radius of a spherical balloon is increasing at the rate of 0.6 cm /minute. To find:- How...

Q: Sketch the graph of the function g for which g(0) = g(2) = g(4) = 0 g'(1) = g'(3) = 0, gʻ(0) = g'(4)...

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Q: 25/quizzes/3828 Spot the mistake/s in the solution. Tick the box that applies. S sin x n (cos ) dx %...

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Q: Find DE 576 || x9 Type your answer without fractional or negative exponents. Use sqrt(x) for sqrt(x)...

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Q: The graph of f(x) = 2x + 6x2 – 90x + 21 has two horizontal tangents. What is the negative value of x...

A: Given that the graph of f(x)=2x3+6x2-90x+21-(i) has two horizontaltangents.Our Aim is to tell the po...

Q: e implicit differentiation to find an equation of the tangent line to the devil's curve,defined by y...

A: Follow the procedure given below.

Q: Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for ...

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Q: dQ where Q = V3x“ + dt + 3y² Use the Chain Rule to find +z", x= sin t, y= cos t, and z= sin t. dQ %3...

A: Given query is to find derivative using chain rule.

Q: If log „x= 0.32 and log „z= 0.83, evaluate the following expression. log b

A: topic - logarithmic operations logab=log a-log blog am=mlog a

Q: With the given find its value. Using first the IBP."uv –- S v du" and evaluate.

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Q: A solid wooden object tumed on a lathe has a length of 50 cm and diameters (measured in cm) shown in...

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Q: Find the length of the arc if f(x) = In(cos x) and 0 s x %3D 2. Find the length of the arc formed by...

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

Q: For each of the following, state whether the equation is ordinary or partial, linear or nonlinear, a...

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Q: Operations on Functions Using Tables of Values Use the tables for f(x) and g(x) to evaluate the expr...

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

Q: र्® 5x

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Q: ad b and e such that for all r and y, z = x² + bxy + cy² dz dr dy dz ad b such that for all r and y,...

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Q: 6. A homeowner has a yard that forms a triangle. He needs to buy seed and fertilizer for the yard. T...

A: topic - area of triangle