Homework: de 1-cos 0 1. S-

Q: Consider the function f(x) = x 52+4 x + 1 a. Find the first derivative. f'(x) = b. List any critical…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: Determine the type of function shown in the graph below.

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Q: 4) Differentiate each of the following: a) y = - cos²x c) f(0) = sin(20 — π) e) y = (52)²x g) y =…

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy dx 3 +…

A: We have given differential equation  dydx=3+18xxy2 y2dy=3+18xxdx Integrating both sides…

Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: The given sum is ∑i=164i+5

Q: 21) Differentiate implicitly x² = x²y+2y²

A: Given: x2=x2y+2y2

Q: 8. Use the Chain Rule to find az/as and az/at. z = (y-2x)³, x = s³t², y=s+t²

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: 7-x, x4. Complete parts a through d below. Let f(x) = a. Find lim f(x) and lim f(x). Select the…

A: Given that a limit problem and we solve by  using limit method of right-hand  and lefthand  limit…

Q: Find f(x) such that • ff(x) dx = 1/√ √ x² + 4 + C

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Q: solve xy' - y = xkyn, 1) y¹ – O a. (k+n O b. (k+n O c. (k+n O d. (k+n - - n 1) x¹ - n - 1) x¹ − n 1)…

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Q: intervals

A: A function is increasing if when y is increasing with respect to x ot vice versa. Hence, Given…

Q: find the complex Fourier expansion of the periodic function shown below COS X Cn = -1<x< 2 TL .na…

A: I have stated the used formulas in the solution.

Q: y' + y = y²

A: Given: Now,           y' +y=y2⇒dyy2-y=dtIntegrating both sides we get,⇒y=11-et+c1

Q: Consider the following function and answer the sections: f(x)= -- 25x+1 3 d) Locate the intervals of…

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: 6) Evaluate 0.8 1 0 dx 4x² +4

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Q: Find the solution to the differential equation that passes through the origin. z(t) = dz dt = 6te42

A: dzdt=6te4z⇒e-4zdz=6tdtIntegrating both sides we get,⇒zt=-ln-12t2-c14

Q: Jeu with the top of the building.) Two sides of a right triangle ABC (C is angle. Give an exact…

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Q: Find the derivative of x 1 f(x) = = 1₁² 1₁ ²² 16 dt S 1+t6 4 f'(x) =

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Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) -3 lim x-4-(x-4)²

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Q: 5) Evaluate the ff (3x - 2y)DA. R is the region enclosed by the circle x² + y² = 1.

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Solve the differential equation (1 + y² + xy²) dx + (x²y + y + 2xy) dy = 0 ɑ. 2y+x²(1+x)² = C b. 2x…

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Q: 7. Simplify the radical expression √7 a) 26 b) √35 c) 14 d) 196

A: The given radical expression is 7×28 use the algebraic properties, am×bm=abm

Q: Evaluate the integral (2x + 4) (2² + 4x + 2) dz by making the substitution = x² + 4x + 2. Submit…

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Q: Write the complex number in polar form with argument between 0 and 2x. 1-/ Need Help? Read It

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Q: Differentiate the following. Do Not Simplify. y=(sin x)(lnx) b) y = (e² + √√cos x) c) y = = a)…

A: To differentiate the following.a y=sin xln xb y=ex+cos x37c y=1-tan x3x3

Q: dv/du = (u - v)² -2(u - v) - 2.

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Q: ΣΠ n=1 a. 1+4+1 6n 61 5 b. 41 5 is equal to c. The series diverges. d. 66 5

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Q: [1/3 Points] f(x) = DETAILS PREVIOUS ANSWERS Find an expression for the function whose graph is the…

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Q: y 200 150- (-3.75,93.75) 1000

A: increasing interval where slope increading

Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

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Q: dy 44. -2,(-1,0) x-2

A: Given problem:- dydx=x-2x

Q: Calculate each of the following given that: a. b. a-b a x (2b - 3c) |b x 3c| C. d. projac a = 2i -…

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 4 cos…

A: We  have given polar equation  r=-4cosθ-6sinθ Using cartesian equations x=rcosθ y=rsinθ x2+y2=r2 Put…

Q: the differential equation 3(3x^2 + y^2)dx - 2xydy = 0 is homogeneous of what degree? A 1 (B) 2 Ⓒ 3

A: To find out the degree of the given differential equation.

Q: √= - 4x + 43 x² 11x + 18 dx = +C

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Q: 1₂ O 2² x² + x2° In | co - 3 2 O O None of the choices O +∞ dx In 2

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Q: Use the law of sines to solve the triangle, if possible. B = 40°, C = 29°, b = 30 a = O A = (Do not…

A: The triangle has the measures B=40°, C=29°, b=30 Law of sines: sinAa=sinBb=sinCc

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: c) an = d) an = 1 1 2² 2.1 2 1² + 1 + + 33 44 3.2.1 4.3.2.1 1 2 1 ਜਿਜ + 2² + 1 3² +1 4² +1 + ... + +…

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Q: 4.y=log10 (x4 + 3x² + 1) 5.y = log5 √x² +1 1-x² 6.y-log10 |2–5x3

A: Given 4. y=log10x4+3x2+1 5. y=log5x2+1 6. y=log101-x22-5x3         Derivative of the log functions…

Q: 11) Find the point(s) of inflection for as an y=8x-x³ (point(s) of inflection should be given…

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Q: If √x + √y = 12 and y(1) = 121, find y'(1) by implicit differentiation.

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Q: When the moon is exactly half full, the earth, moon, and sun form a right angle (see the figure). At…

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Q: A point is graphed in rectangular form. Find polar coordinates for the point, with r> 0 and 0 ≤ 0 <…

A: Given , The point P is located at (4,4) according to the graph (x,y)= (4,4) Formula for polar…

Q: 17) Find the first derivative of f(x) = (cos4x)6 6 or f(x) = cos 4x

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Q: -10 -5 у 10- 5 -5 -10- 5 E . 10 X

A: We need to write down the type of the function, x and y intercepts and also the vertical and…

Q: Determine the type of function shown in the graph below. a) Polynomial function Ob) Rational…

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