y = x - 3x 3x√√x √x-1

Q: K Find the area between f(x)=x²-7 and the x-axis from x = 0 and x = 10.

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Q: 3. Evaluate the double integral. 2-1 (coey) dA where D is the regiou bounded by y-0. y -a², and

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: 9. Find the area of the lateral surface of the cone of radius 4, height 9, obtained by reloving the…

A: To find the lateral surface area of the cone of radius 4, height 9, obtained by revolving the curve…

Q: Compute the definite integral (Hint: You will need to use integration by parts twice). fe 0 -X е cos…

A: ∫u.vdx=u∫vdx-∫dudx∫vdxdx∫cosxdx=sinx+c∫sinxdx=-cosx+c

Q: -1: Determine all values of x where the following function is concave down. f(x) = 1/2x² + 1²x³ = x²…

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Q: 2. (6399 #4 p. 298) Setup, but do not evaluate, the integral which when evaluated will equal the…

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Q: (a) Solve for v(t) if the raindrop falls from rest. (2) v(t) = (b) This model assumes that the rate…

A: Basic information:  ddxaxn=anxn-1∫axndx=axn+1n+1 + Cρ is a density of the rain drop.…

Q: N18 The Ratio Test was applied to a power series and simplified to lim (3x - 1). convergence? 1 R =…

A:

Q: 1. Evaluate the double integral (2² IMO (2²+2y) dA where D is the region bounded by y = z, y = r³,…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: y = = e(2x³+5) ²

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Q: Determine the slope of the line through the points (8, 13) and (-2, 3).

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Q: 25. Show whether the following function is continuous et x = 0. 4x-9if x>-3 3x+6 if xs-3 f(x)=

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Q: Differentiate implicitly to find d2y/dx2.   x3−y3= 10

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Q: A circle is​ growing, its radius increasing by 2 mm per second. Find the rate at which the area is…

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Q: a B 2 α b Description of image (in case it has trouble loading): A right triangle has acute angles a…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: 4 Given the graph to the right, find f(x)dx. St(x)dx. 0 10- 8- 6- 4- 2- Ay X O

A: Given Graph:-

Q: Does the infinite series O It converges. O We don't know. 10++ + 10 53/2 + converge or diverge?

A: Please see the below picture for detailed solution.

Q: For the demand function q=D(p)=100/(p+8)3​, find the following. ​a) The elasticity ​b) The…

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Q: Determine whether Rolle's theorem applies to the function shown below on the given interval. If so,…

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Q: Find the equation of the ellipse with foci at (0, ±10) and vertices (0,± 8)?

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Q: A particle is moving with v(t) = t²-3√t. Find the position of the particle (i.e. distance function)…

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Q: Answer the following and show the step-by-step solution of each: rẻ -5x+2 4x²+3 a.] limx→ 1x→+00…

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Q: Compute the average value of f(x) Average value = = 1 4x + 3 on the interval [5,9].

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Q: 35. The magnitude of m is 29.2 meters, and the magnitude of n is 35.2 meters. If m and are…

A: We have to calculate the magnitude of sum m and n

Q: ing or decreasing.

A: We have to find the following conditions according to the given information

Q: Plot the complex number 3-6i

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Q: 11 .Does the value of a function at a point have to exist in order for the limit to exist at that…

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Q: Find all the values of x such that the given series would converge. Answer: Note: Give your answer…

A: We have to find the interval for convergence.   According to our guidelines we can solve only one…

Q: Hey, isn't a hyperbola supposed to be the to minus each other instead of plus?

A: yes you are write there is minus sign instead of plus please find below step wise solution

Q: Evaluate the integral (2x + 5) (x² + 5x + 9) ³dx 3 by making the substitution u = x+5x+9. + C NOTE:…

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Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 196 in². The smallest…

A: let width of rectangle = b length of rectangle = l given Area of rectangle = 196

Q: ). Find the Taylor polynomial of degree two approximating the given function centered at the given…

A: Given function:- fx=x Taylor series is given by fx=∑k=0∞fkak!x-ak

Q: What interest is accumulated on an investment of $10,000 left in a bank for  5 years with an…

A: use the simple interest formula for calculating the interest.

Q: Given the graph of f(x) and the labeled areas, 5 find f(x)dx S₁ 0 5 [ f(x)dx= 0 A=13 B=5 C-6 +15

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or…

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Q: Find the nth Maclaurin polynomial for the function. 4x - 3 x + 1 n = 4 P4(x) = eBook f(x) = X

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Q: ifferentiate. 12) y = (x2 - 2x + 8) ex A) (x² + 4x + 6) ex C) (x²+6) ex 1 [ 2 ² + x + 1] x B) ex 3…

A: Given query is to find the derivative.

Q: Find the equation of the tangent line to the curve y = at the point (1, −3).

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

Q: Suppose a boat leaves port, travels 7 kilometers, turns 21°, and then travels another 12 kilometers.…

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Q: Find a formula for the inverse of the function. g(x) = x² - 4x, x ≥ 2 g-¹(x) = 2+√√-1(-4-x),x≥-4 ×

A: Given that , gx=x2-4x   ,    x≥2 find the inverse of the function.

Q: Find the area under the graph of the function over the interval given. 26) y = ex; [-2, 8] A) e8__1…

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Q: Suppose that the price​ p, in​ dollars, and the number of​ sales, x, of a certain item are related…

A: Given query is to find rate of change of x.

Q: 4. Use the Fundamental Theorem of Line Integrals to calculate f Vf T ds, where C is an oriented…

A: We have to calculate the line integral.

Q: 3y2-12x-6y-9=0 1. Write in standard parabola form 2. Find the center, vertices, foci, and…

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Q: Expand the expression using the binomial theorem (2+4)*

A: As we know from the binomial theorem: x+yn=C0nxn+C1nxn-1y+C2nxn-2y2+....+Cn-1nxyn-1+Cnnyn   To…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: (b) Let I be an interval and f: IR be increasing. Show that fn(x) = f(x) +, defined on I, is…

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Q: 5. y = 3sin (2x²)

A: Solution: Given data, y=3sin(2x^2)  dy/dx = d/dx [3sin(2x^2)]

Q: y = x², y = x

A: Here is the solution: