y = cx + c2 + 1 y2 = 4ax 4ах %3D y = C1e* + C2e¬* -x %3D

Q: In the interval 0< x < 27 how many values of a satisfy the equation sin x = -? 01 0 4 O 3 0 2

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Q: =(x) ,, } %3D

A: Given; f(x)=3+√x.

Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y =...

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Q: Write a full solution  Let consider the following function: ?(?) = 2(? + 1)^2  −8.  A) Find the x-...

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Q: Find 18. | cot°0 sin*e de

A: Since we are given with the multiple number of questions and our guideline is solve the problem.

Q: Use integration by parts to evaluate the integral: $ds %3D

A: According to integration by parts:

Q: Let f(x, y) = sin(x – y). Calculate the directional derivative of f in the direction of v = (1, 1) a...

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Q: 1. Evaluate the limit of as x approaches 3. В. 3/5 x2-4x+3 A. 3/2 C. O D. 5/2 4x-x 2. Evaluate the l...

A: Note: According to our expert guidelines only first three subparts are to be answered.kindly repost ...

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x² + 2 and y...

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Q: 2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant ra...

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Q: Find the vertical shift of the sinusoidal function. fx 7- 5- 4 720 540 360° 180 081 360 540 72에 -2 -...

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Q: Find the radius of convergence for: Σ (- 1)"2" n=1 Vn+4

A: use the formula for radius of convergence for the  

Q: Let f(x) = V-14 – r and g(x) = z - 9x. fog= The domain of fogis:

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Q: ft along a straight, level road decelerates at a constant rate of 22 ft when the brakes are app A bu...

A: Given query is to find the the displacement function.

Q: dx so that the resulting integral is integrable? What should be the rewrite of 1- cos x sec²x + sec ...

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Q: Write a full soultion Let consider the following function: f (x) = 2(x + 1)^2 −8. a) Find the doma...

A: We have to find domain and range 

Q: Write a full solution Let consider the following function: f (x) = 2(x + 1)^2 −8. A) Find the x...

A: topic - x and y intercept of a function

Q: ∫pi/6pi/2 cot2x dx

A: ∫pi/6pi/2 cot2x dx

Q: For the following equation, show solution for determining the coordinates of the point of intersecti...

A: The given problem can be evaluated as follows:

Q: b) Evaluate each of the following integrals: 2 i) | cos(2x)dx, 4x3 -dx. 1+ x* ii)

A: Explained below 

Q: Find all the values of x such that the given series would converge. * (– 1)"(x")(n + 2) (3)" n=1 The...

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Q: Find an equation of the normal line to the parabola y = x – 9x + 5 that is parallel to the line x - ...

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Q: Geometry What is the length of the edge of a cube if, after a slice 1-inch thick is cut from one sid...

A: We have to find the length of one side.

Q: At every point of a certain curve, y′′ = 12x3 − 4x. Find the equation of the curve if it is normal t...

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Q: 5. Find the linear approximation (i.e. the tangent plane) of f(x, y) = Vx/y at the point (9, 4) and ...

A: The Local Linear approximation of f at (x,y) using the partial derivative f at (x0,y0) is given by  ...

Q: a). Solve the linear congruence of 231x = 147 mod 598 .

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Q: (x – 1)2 (y + 1)2 1? Which of the following lines is an asymptote of the hyperbola 9. O 3x + 2y - 1 ...

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Q: 3. The disk and cylindrical shell methods for calculating the volume of a solid of revolution always...

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Q: differentiate the following function: 1. f(x)=3-2x+4x^2 2.  3.

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Q: dy (x2 — 9) + ху %3D0 + ху — 0 dx

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Q: Find II| y dV, where E is the solid bounded by the parabolic cylinder z = x² and the planes y = 0 E ...

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Q: Calculate the area of one petal of r = sin 40

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Q: - 5x + 7, find f(2). Use this to find the equation of the tangent line to the parabola y = 4x2 5x +7...

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Q: d 4z3+7z+8, 2. dz 3. dx (x)(3x² – 9)

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Q: 4. Find the general solution of this DE using INSPECTION. dadx + aydy +(X² + y?)dx = 0

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Q: Locate the centroid (x coordinate only) of the parabolic area.

A: To Find: Locate the centroid (x coordinate only) of the parabolic area. 

Q: a) Given a proposition: 1+ 3+5+ ..+ (2n – 1) = n² +1. Demonstrate whether the proposition is a fact ...

A: We have to show given proposition is fact or faulty proof (proposition is the basic building block o...

Q: 4. Find the exact arc length over the interval. from x = 2 to x = 3 16x2 a. x = b.x =y* from y = 1 t...

A: As per the bartleby guidelines when student post multiple question we have to solve first one.so, i ...

Q: 5. (D² – 4D + 4)y = 12x + 2e3*

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Q: ст A particle moves along a straight line and has acceleration given by s'"(t) = 5t. Its initial vel...

A: To find the position function s(t) , integrate the given differential equation two times and apply t...

Q: 4. Find the exact arc length over the interval. b. x =y* from y = 1 to y = 4

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Q: The center and radius of 4x2 +24x + 36 + 4y?-8y 100 is O Center: (3,-1); radius = 26 %3D O Center: (...

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Q: 1. Find the area of the shaded region. 3 y = Vx X 4 y = -x а.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...

Q: Identify the level curve of the graph of the function 14x + 14y - 10 14x? + 14y? - f(x,y) = correspo...

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Q: 5æ? about the y axis for 3 < x < 8 Find the area of the surface obtained by rotating the curve y No ...

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Q: 1) The slope of the tangent line to the curve y=2/x at the point (4,1/2) is:   2) The equation of ...

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Q: 9. Let f(x, y, z) = xyz=1 and r(t) = (e', t, t²). Find f(r(t)) at t = 1.

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Q: (a) sec e = 2 e = degrees e = radians (b) cot e = 1 degrees radians

A: SOLUTION-

Q: 1. Show that c(t) = (e¬t cos t, e-t sin t), 0 <t <∞ has finite length and calculate its valu

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Q: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.