Rewrite e 5.7 h as an equivalent logarithmic equation. Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c* log (h).

Q: 4.82. Show that f/2 sin² z dz= f/² cos² z dz = π/4.

A: To show that, ∫0π2 sin2 z dz=∫0π2 cos2 z dz=π4.

Q: can you show A + 2B = 5 and 4A + b = 6 to get A = 1 and B = 2 in case 2,

A: Let's solve.

Q: Question 20 (D² + 1) y = 12cos²x

A: Differential equation

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A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

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A: Matrix for male drivers is obtained by writing corresponding elements

Q: Determine the radius and interval of convergence of the following power series. x2k+1 13k-1 Σ

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

Q: by change of variable with u = e, evaluate [√ere da

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Q: 4. Use a middlesum with n = 4 to estimate 1 La dx. Show your work, and circle your final answer. x4…

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Q: flt)=lt-3)²21lt-2)

A: f(t) = (t -3)2 21(t -2) f(t) = 0 t = 2, 3  These are the roots of the function. At these values f(t)…

Q: Let r(t) = (a) Find 7 (t). (b) Find Ñ (t). (c) Find K (t)

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Q: Question 15 (D² - 8D + 15 ) y = 9xe²x

A: Ode

Q: solve each inequality.   x2+x>0

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Q: In the derivative, transform into linear equation y = mx + b (the form)

A: Given :  y = mx + b (the form)   To find : In the derivative, transform into linear equation

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

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Q: Compute d (x+2) dxx-2,

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Q: Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of…

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Q: Determine the type of DE: x²y¹ = 4x²+7xy + 2y² O Homogeneous O Bernoulli's equation Both Homogeneous…

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Q: what factor and direction the graphs of the given functions are to be stretched or compressed. Give…

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Q: World consumption of a certain metal is running at the rate of 322e0.02t thousand metric tons per…

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Q: √IIn(1) di

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Q: = and f" (1) = which one of the statements is true? f(x) must have a relative maximum at î= 1. f(x)…

A: we will find the required.

Q: differential equations d^2y/dt^2-2dy/dt-15y=3e^2t Y(0)=0 Y’(0)=3/5

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Q: (D² + 6D+5) y = 2ex + 10e5x

A: We have to solve the differential equation  D2+6D+5 y = 2ex + 10e5x.

Q: Obtain the equation of f(t) or y(t) taking into account the following differential equations:…

A:

Q: 1) Given that csc A each of the following: a) sec B b) cos (A + B) c) sin 2A and cot B = where - <A…

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Q: Find the midpoint of the line segment joining the points P1 and P2;P1 = ( - 2, 0); P2 = (2, 4)

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Q: For f(x) = 2x and g(x) = x, find the following. (a) (f+g)(x) (b) (f- g)(x) (c) (f.g)(x) (d) (f/g)(x)…

A: For fx=2x and gx=x6, to find the following.a f+gxb f-gxc f·gxd fgx, x≠0

Q: All of the statements are true about the standard equation of a parabola given by (x - h)² = −4a(y -…

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Q: n=1 (a) n³ 11. Use the Integral Test to determine whether the series is convergent or di- vergent.…

A: NOTE: Refresh your page if you can't see any equations. . the series integral test is given by

Q: A real estate investment, originally worth $7000, grows continuously at the rate of 600e0.04t…

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Q: ∞ Does the series Σ n=1 5 14n-11 converge or diverge? Give a reason for your answer. Choose the…

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Q: Let r(t) = ·( 20 ²21 ²2² ² ) =

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Q: Find an antiderivative of q(t) = (t +9)³

A: We have to find the antiderivative of the given function.

Q: Determine the type of DE: 2xydx + (y²+x2) dy=0 Homogeneous Bernoulli's equation Both Homogeneous and…

A: The given differential equation is; 2xydx+(y2+x2)dy=0.

Q: 53° x 22

A:

Q: Calculate the height after t years. Determine how tall the trees would be when they are sold?

A: Given data, dhdt=3.5t+15 Time t= 4 years Height at t=0 is H=14cm

Q: 6x + y² = 16, x = y

A:

Q: Nov 16, 5:52:16 PM A particle moves along the x-axis with velocity given by v(t) = cos (t) for…

A: Given query is to find partical moving away of toward the origin.

Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: Consider the shaded rectangles under the graph

Q: The tables give the death rates (per million person-trips) for male and female drivers for various…

A: Table gives the death rates

Q: U.S. Internet advertising revenue grew at the rate of R(t) = 0.82t + 1.14    (0 ≤ t ≤ 4) billion…

A: NOTE: Refresh your page if you can't see any equations. . U.S. Internet advertising revenue grew at…

Q: 2. Detremine if the limit is in indeterminate form. If so, state which indeterminate form it has. DO…

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Q: dx . Use the the given that x = c₁ cost + c₂ sint is a two-parameter family of solutions of x" + x =…

A: Note: - According to the company guidelines we can attempt only one question so please upload the…

Q: Finn borrows $3200 from his parents and decides to pay them back $c in the first month and then $m…

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Q: Determine the radius and interval of convergence of the following power series. Σ(-1)*** 8k

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Q: Consider a cost function of the form C(x) = { 20,000+ 980x - x² 0 for 0 ≤ x ≤ 1,000 for x ≥ 1,000.…

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Q: Suppose f(x) is some function, and you determine the second derivative is f''(x) = 3(x+3)(x - 2).…

A: Given query is to find the interval where function is concave up and down.

Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: Find all values of t in the interval [0, 2π] that satisfy the given equation. (Enter your answers as…

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