Assuming that b is positive, solve the following equation for b. b √ (4x-6)dx=20 1 be Round your final answer to 4 decimal places. (Give the positive answer only.)

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Q: Let r(t)=. Find the point where r(t) intersects the xy-plane on the interval pi/6<t<3pi/12.

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Q: Solve the differential equation. 2x dy + y dx = 9x5 dx 9 A y 2x11/2+cFx By = 9x5 + c)y= X4+ D)y= 9…

A: Here is the solution:

Q: X x50] xt) vis OLY wll

A: Evaluate it :     limx→0sin(7x) cos(x)x

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A: The given differential equation is 3y''+5y'-12y=0. The auxillary equation is given by 3D2+5D-12=0.…

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A: Recall: Partial fraction decomposition   Given, (10x + 24) / (x^2 + 6x + 8)

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A: Here is the solution:

Q: Use logarithm properties to expand the expression log5 O a.) log5 (25x³-y²) O b.) 2+3log5x+7log5y O…

A: Given , log525x3y7

Q: Evaluate the integral. 2 X Jo x² + 4x + 20 dx

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A: Given differential equation dTdt=kT-40 Lets solve it using separation of variables.

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Q: The amplitude of a sound source that modulates in time is given by 2²√ A(x, y, t) - x - t where x…

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Q: 82t An epidemic is growing in a region according to the rate N' (t) = +3 I where N(t) is the number…

A: Topic- Differential equations We are given,   N'(t)=82tt2+3where N(t) is the number of people…

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A: Given that       x = 2 - cost , y=1+2sint

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Q: Precalculus Find Ꮎ for 0° < Ꮎ < 360° sin (O) = -0.8431

A: NOTE: Refresh your page if you can't see any equations. . the sine function is negative in the…

Q: 10. Show that the limit of the function f(2)= (-³)* asz tends to 0 does not exist.

A: To show that the limit of the function fz=zz2 as z tends to 0 does not exist.

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Q: Solve the given differential equation 5x4cos 2 ydx - dy = 0 (A) y = tan-¹ (x5 + C) B) y=x5+ C C y =…

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Q: 9 dx x² + x√x MA

A: ∫1u du = lnu+C ∫un du =un+1n+1+C

Q: Consider the following. √49x² + 4 dx Use the substitution u = 7x to rewrite the given integral. SCC…

A: The formula for Integration of UV∫ uv.dx = u ∫ v.dx – ∫ (u' ∫ v.dx)dx.

Q: Question Using Desmos, plot the point (-1,7) in the polar plane. Provide your answer below: 6 TT 4…

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Q: (A) h(x)=2f(x) h′(2)=     (B)  h(x)=−5g(x) h′(2)=   (C)  h(x)=6f(x)+3g(x) h′(2)=   (D)

A: Let's solve. function given as a relation of other Function.

Q: 1. Plot a graph of the function 1+x-1 x on the interval 0≤x≤ 10e, where e denotes your machine…

A: Aim: To draw, fx = 1+x3-1x with 0≤x≤10ε, where ε is the machine precision.…

Q: Suppose that f(25) = 10 and ƒ'(25) = −2. Estimate each of the following. 1. f(27) = 2. f(23.5) =

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Q: Sketch 9x2 + 25y2 = 5625 and the line segments connecting (20, 0) and (-20, 0) to (15, 12)

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Q: A pretzel factory has daily fixed costs of $1600. In addition, it costs 30 cents to produce each bag…

A: To find the cost function, revenue function and profit.

Q: Interpret the following limit statements without using the word limit. (a) lim √1- x² = 0 x-1- 2x²…

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A: Your monthly profit in dollars from selling magazines is given by p=2x+xwhere x is the number of…

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Q: Match each function name with its equation. I I ≈ f(x) = ✰ f(x) = ✨ ƒ(x) = x² ≈ ✨ 1 X ✨ f(x) = ³√x…

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Q: How is the inverse of 4sin(x)+7 = f(x)-74x=sin-1f(x)-74 ?

A: The given function is; f(x)=4sinx+7.

Q: P(0,2,0), Q(1, 1, 1), R(4, 3, 2)

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Q: Perform the indicated operations on the given vectors: 3 = ( ₁ ) ₁ №₂ = ( ₂ )₁ 0³₁ = ( ³₁ ) ₁ 0 ₁ =…

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Q: d 2) Find da −ln(sin æ — cot x) Show all steps.

A: Given :- ddxln(sinx - cotx) Concept :- ddxsinx = cosx, ddxcotx = - cosec²x Now, ddxln(sinx - cotx)…

Q: Find the following limits: 1. lim -2x/sqrt(9x2 - 3) as x approaches to positive infinity

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Q: - 2x +18 if x≤ -7 For the function, f(x) = 2 (a) f(4) x + 3 (b) f(-8) (a) f(4) = ♫ (Type an integer…

A: This question can be solved by using the concept of value of a function y=f(x) at a given vlue of x

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

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Q: (a) The unit circle is the circle centered at 0,0 (b) The equation of the unit circle is x² + y² = 1…

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Q: dy For exercises 1, 2, and 3, find using implicit differentiation: dx 1. Prove (arccosx) = V d dx -1…

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Q: A person deposits $25,000 in a bank that pays 5% per year interest, compounded continuously. The…

A: Given The principal amount P0 = $25,000 Interest rate r=5100=0.05 Compounding is continuous.  The…

Q: +3+3²+...+ 3ª = 3+1-1 2 Hint: First write down what P(1) says and then prove it. Then write down…

A: we will  prove it by principle of mathematical induction.

Q: 1. Due to economic and political implications, the value of the purchasing power of a thousand peso…

A: Given , A=20, P=100, r=8%

Q: Write the equation of the line tangent to f(x)=x4 when x = -2. O a.) y = -32x-48 O b.) y = 32x+80…

A: Note: As   per our guidelines we are supposed to answer only one question if there are multiple…

Q: a) Assume that the function is linear. I. II. III. Complete the rest of the table x 1 2 3 4 f(x) 3 6…

A: We can solve this as follows:

Q: Discuss the continuity of the function g(x) = 1/(x2 - 4) on the interval [-1, 2]

A: Given data÷ gx=1x2-4 Now we need to check for the continuity