Trigonometric Groups 3. S sin³x cos xdx 4. S Vtan x sec*x dx

Q: Left on together, the cold and hot water faucets of a certain bathtub take 6 minutes to fill the…

A: Given problem:- Left on together, the cold and hot water faucets of a certain bathtub take 6 minutes…

Q: 2x2 Given the rational function f(x) x²+4x-12 a) Find the vertical asymptote(s) if any. b) Find the…

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Q: 2 4 dpx. (px)2 ACS = 1

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Q: Given f(t) = 374e 0.24t where 't' is in years, what is the continuous annual rate? Hint: Your answer…

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Q: Find the exact values of the remaining trigonometric functions of 0 satisfying the given conditions.…

A: Cos(theta)=4/5 , tan(theta)<0.

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Q: and write your answer in summation (sigma) notation. Then write down the first three non-zero terms…

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Q: V9 – 4x2 x2

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Q: a) Find the area of the triangle with vertices A(-2,5,1), B(3,-5,-2) and C(3,2,-4) using vector…

A: see below the answer and calculation

Q: If a ball is given a push so that it has an initial velocity of 3 m/s down a certain inclined plane,…

A: Given query is to find the velocity function ate time to reach the velocity 45 m/s.

Q: Use logarithmic differentiation to find the derivative of the function. y = (sin(6x))*

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Q: for what value of x does the function  f(x) = 1/3 x3 - 4x attain the absolute minimum in the…

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Q: 2х + 1 бх2 + 23х — 9 dx х3 + 2х2 — 3х Ja- 2)(x – 3)² dx

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Q: |2| ex dxdy = 2 y The integral 4 4 Select one: True O False

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

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Q: x 4 kx + 3, а. Let g(x) = 8, a) Find the value of k if g (x) is continuous at x 3. b) Determine…

A: Solving

Q: COMPUTATIONAL em No. 1 roblem: The concentration C of a certain chemical after t seconds of an…

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Q: x* – 6x3 Find Lim x-0 x3 – 4x

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Q: Differentiate the function y = -5e0.

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Q: Find an equation of the circle whose diameter has endpoints (-6, - 5) and (-6, 3). D=0

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Q: Evaluate the line integral F. dr, where C is given by the vector function r(t). F(x, y, z) = (x +…

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Q: sin(nx)dx |sin(nx)dx (xcos(nx)dx

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Q: The integral 5x – y dA =49 if R R={(x,y): 2<x< 4, 5< y < 6 } Select one: O True O False

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Q: (a) Use differentiation to find a power series representation for fx) = (3 + x)2" Σ 00 n = 0 What is…

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Q: Find the derivative. Simplify where possible. |(a) y = ln(coshx)

A: Find the derivatives

Q: Consider the equation below. f(x) = x7 In x (a) Find the interval on which f is increasing. (Enter…

A: We have to calculate first and second derivative to solve the problem

Q: a) lim f(x) b) lim f(x) c) lim f(x) d) f(0)

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Q: Find the next number in the sequence 4,16,64,256

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Q: Find the gradient of the function at the given point. In(x2 - y) - 2, Z = (2, 3) Vz(2, 3) Need Help?…

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Q: A rectangular lot has an area of 1600 sq.m. Find the least amount of fence that could be used to…

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Q: ( ) Find the Laplace transform F(s) = L {f (t)} of the function f(t) = 2 sinh(at) – 8emt defined for…

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Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. (a) lim…

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Q: „G+1)* 1. Σ(1+) =D1 2. E-o )" n3D0 2 3. ΣΡ-2 n=2 n2 -1

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Q: Find the gradient of the function at the given point. In(x2 - Y) - 9, (3, 8) Vz(3, 8) =

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A: Consider the expression  15lnx2+9-15lnx+9

Q: b. f(x) = xe-*, g(x) =; -1<x< 5. Show in a single space. 2x

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Q: y A y = f(1) 4. The graph of f(x) is shown in the figure. Let A(x) = Lf(t) dt and F(x) = S* f(t) dt…

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

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Q: x + 1 24. 2]

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Q: fam (Hint let u = Inx and du=xdx) x Inx dx

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Q: Problem 3 If the nth partial sum of a series E1 an is п— 1 Sn n+1 find an and E=1an.

A: The given data is: Sn=n-1n+1  To find the value of an and ∑n=1∞an.

Q: Find the exact values of the six trigonometric functions of each angle e. (a) (-V3, 1) sin(e) -…

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Q: consider a ctosed Kectangutar box with a Hew.y squar bare If base side ir measured with error at and…

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Q: (-1)"-1 (In n)" 00 23. E n=2

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 1/8…

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Q: 6z²y dy) dz О а. 48 ОБ. 42 Ос. 58 O d. 49

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Q: Current Attempt in Progress Find the solution of the given initial value problem y" + 9y' = 0, y(0)…

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Q: The integral x sin y dy dx is equal to: Select one: O -3 O 18 О 2 O None of them /2 7/2

A: Integration by parts is used

Q: Consider the following. 6. 13 In(x) dx Let u = In(x). Find du. %3D du = dx Indicate how the limits…

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Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

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