1.0⁰ 7 -2 dy 1+ y² 1 +x³ = π 2x + 3 da is an improper integral 1 - 1 (₂ ² ² ₁ + 2x + 1) dz dx + 1 (x² + Sy an appropriate trigonometric substitution, -dx * √10 - x² ·[³ X fö -da can be transformed into u³ - du 6u + 1

Q: The linear density of a rod 3m long at a point x meters from one end is ke-3x kilograms per meter.…

A: Solution is given below:

Q: For which of these line equations is the WRONG slope given? 3x + y = 15; m = 3 4y = 16x +…

A:

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A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: The infinite series Σ a. series liner 8 n¯4 is a

A: We know that the p-series is the following. Thus, for             p=4.

Q: The graph of a function is given. -4 -2 X I 4 2 -21 -4 2 4 (a) Determine the interval(s) on which…

A: We can find the answer as below.

Q: 5. Prove the identity: cot(A + B) cot(A − B) = - cot² B tan² A tan² A cot² B - 1

A:

Q: Find two positive numbers satisfying the given requirements. The product is 182 and the sum is a…

A: Topic- Quadratic equations

Q: 3. S (5x-12)dx x3-6x²+8x

A:

Q: 11) Find each of the two areas bounded by the curves y=x3-4x and y=x² + 2x Points of intersection:…

A:

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A: PLEASE LIKE .

Q: Find the volume of liquid needed to fill a sphere of radius R to height h = R.

A: answer is in next step. please give a like!!

Q: 3. S 4 dx x3-4x²+8x

A: The given integral is; 4/(x3-4x2+8x).

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A: Here we have to find the value of x.

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A:

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A:

Q: EQUATION OF A LINE -6= b=-7 Slope intercept form: y=mx+b Point-slope form: y-y-m(x-x₂) LEARN! We…

A:

Q: Write an exponential mathematical equation to justify the statement log, (54) = 2.87744. Answer:

A: given, log454≈2.87744

Q: Express the given quantity in terms of −sin x or cos x. sin(3ℼ/2 - x)

A: The given trigonometric function is f(x)=sin3π2-x

Q: Given f''(x) = 3x + 3 and f'(-3) = 1 and f(-3) = 6. Find f'(x) = and find f(4) =

A: We want to find f'(x) and f(x) values first.

Q: Show that lim (x,y) →(0,0) 16x4 +9y¹2 4x² + 3y6 does not exist.

A:

Q: Write 0.12 as a fraction. Use the concepts in section 10.3

A:

Q: Find the volume of a solid obtained by rotating the region enclosed by the graphs y = 19 - 2x, y =…

A: To find the volume of a solid obtained by rotating the region enclosed by the graphs y=19-2x, y=5,…

Q: Which of the following polynomials has an odd degree and a positive leading coefficient? W O -10-947…

A:

Q: PRACTICE ANOTHER The graph shows the depth of water W in a reservoir over a one-year period as a…

A: Topic- Average rate of change of function over interval

Q: IV. Fill in the blank to make each statement true. Use correct notations. ¹(si 1. sin-1 sin 12πT 5…

A:

Q: Find the volume of a solid obtained by rotating the region under the graph of the function x = √y…

A:

Q: 1 ∞ Inxdr

A:

Q: Assuming the pattern continues, what is S₁2 for the series -8-15-22-29 -...? -565 -85 -510 O-558

A: Option d is correct.

Q: Sample space S is partitioned into E₁, E₂, E3, and E4 such that P(E₁) = 0.17, P(E₂) = 0.05, and…

A: We have to find the value of P(E4), the odds in favor of and the odds against E4 occurring.

Q: 6. If a = 2, b = 2√√3, y = 30°, solve for c and 3.

A: In a triangle, the given measures are a=2, b=23, γ=30°

Q: What is the domain of the rational function(x)=-3x²-16x +48 Oxe 31x*-4,-2.3.4) Oxe 31x*-4, 3, 4) O…

A:

Q: 12 The function f is defined by (a) Write down the value of x that must be excluded from any domain…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: dt 1²+8t+20

A: We can find the answer as below.

Q: Find the volume of the solid obtained by rotating the region A in the figure about x = −3. b y 0 A…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

A:

Q: 5. Given that f(t) = sint, t=0, t≥π/2 0≤t<π/2 find L{f(t)}.

A:

Q: Use a graphing utility to graph the curve defined by the parametric equations x(t)=3t sint, y(t)=3t…

A:

Q: If the odds in favor of E occurring are 2: 7, then find P(E) and P(E'). P(E)= (Type an integer or a…

A: If the odds in favor of E occurring are 2:7, then to find PE and PE'.

Q: The average value, f, of a function, f, at points of the space region is defined as f=¹ f dv, Ω…

A:

Q: (4x-1)dx (2x+1)Z 3

A: ∫(4x-1)dx2x+13/2 Let  2x+1=y ⇒ 2x=y-1⇒4x=2y-2⇒4x-1=2y-3

Q: [x=t+1 B- Find an equation plane pass through point (1,0,0). If the line L₁ y=-2t Z -3t…

A: Given: 1,0,0 x=t+! y=-2t z=-3t

Q: This exercise uses the radioactive decay model.. The half-life of radium-226 is 1600 years. Suppose…

A:

Q: Find the average value fave of f(x) = x5 between -1 and 1, then find a number c in [-1,1] where f(c)…

A: We have to find the average value of function and value of c.

Q: H.w: Find the Fourier series for the following functions: 1- f(x) = 1+ 1- - 2x x 2x x -π < x < 0 0 <…

A: Fourier series of f(x) in the interval [a, b] is  f(x)=a02+∑n=1∞anCos2nπxb-a+∑n=1∞bnsin2nπxb-a where…

Q: 5.5x³(a²-x²) ²/dx

A: The given problem is solved below in detail.

Q: By changing to polar coordinates, evaluate the integral where D is the disk x² + y² ≤ 25. [][₂₁x² +…

A:

Q: estimate the area under the graph f(x)=2x2+1   from x=0 to x=2 use four rectangle and the right…

A:

Q: Let = [1, -1, 1], [-2, -1, 3] and = [-1, 2, 2]. Find (u ×7)•w: O-14 07 O 10 Does not exist

A:

Q: 3. Find the domain of f(x) = = 1 - 1- x X

A:

Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: Topic = Derivative