Q8. The equation of Q (y) in Q6 i.e. 2ydx + x(x² Iny - 1)dy = 0 is a) Option 1 c) Option 3 Other: In y y In y y b) O Option 2 d) - O Option 4 In y 2y In y 2y

Q: Given the vectors v and u​, answer the following: v=2i+3j−6k     u=3i+4j Find the dot product of v…

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Q: 2. Consider the function g(x) = x cot (3x). A. Function g can be rewritten as · cos(3x) · 3x sin…

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Q: The alternating series En=o(-1)" +2 1 en+2 a) Converges b) Diverges c) None of the above

A: Given series: ∑n=0∞-1n1en+2

Q: Below is the graph of a function Use the graph to determine lim 1 lim (@) 3 lim f(x) = 1 lim /(x)=0…

A: Condition for exitence of limit at x=alimx→a-fx=limx→a+fx=limx→afx

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A: For this ODE, to determine its most general function Nx, y so that this  equation is exact. sec2…

Q: 8) The polar equation for the circle (x - 1)² + y² = 1 is: a) r=2sine b) r = cose c) r = 2cose d)…

A: In polar coordinates we have    x= r cosθ    and   y = r sin θ

Q: Q6: Suppose that a one-to-one function f(x) has tangent line y = 5x + 3 at the point (1,8), then…

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Q: Find the radius of convergence for: 3nxn Ï n! n=1

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Q: 8) A farmer with 4000 feet of fencing wants to enclose a rectangular plot of land that borders on a…

A: Given that total fencing is 4000feet. And the river side is not fence.

Q: Q21: √8 ***** - (A)4) G (B) 40 (C) 4G) (D) 4) *****

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Q: Sketch and find the volume of the solid when the area enclosed by x = √y and y = x is rotated......…

A: Given that , x=y and y=x find the volume of solid.

Q: Q13: The infinite series E-o (-1)**1 Q14: The range of the function y =)* is: (A) (-00,00) Q15: Q16:…

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Q: Q8: For-1<x< 1, Q9: To evaluate f sin*x cos³x dx, we substitute u = (A)sin x 3x² 4 010: If lxl <2,…

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Q: 35) f(x) = ²x²+x+3 -

A: We have given function fx=-12x2+x+3 fx=-12x2-2x+3 fx=-12(x2-2x+1-1)+3 fx=-12x2-2x+1+12+3…

Q: What is the average rate of change (slope) on the interval [1, 2] for the function f(x) = 2x³ - 6x…

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Q: Find two unit vectors orthogonal to both u decimals). Separate the vectors with a comma. unit…

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Q: given these laws, evaluate the limits of the following equation, and justify each step by indicating…

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Q: (b) Find the domain of the function √ (2x – 5)(x+3) (x − 7)(x − 1)

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Q: With your pencil, make a dot on the position of your best visual estimate of the centroid of the…

A: Given,            The triangular area diagram is shown below :

Q: Choose the best estimate for 280° in radians. A. 3 B. 4 5 D. 6

A: To estimate 280° in radians.

Q: Open-box Problem. An open-box (top open) is made from a rectangular material of dimensions a = 12…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: I = So q arc EIN length is (3 Cons² t sint 12+ (3 sin²+ cost) 2 dt

A: Given Curves:- xt=acos3t,yt=asin3t

Q: Use lim f(x) = -2 and lim g(x) = 5 to find the limit. x→C Answer lim [3f(x) 4g(x)] x-c

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Q: Free Response The table below represents values of differentiable functions, f and g, and their…

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Q: 7 17.) Find a limit expression equal to f(x²-8) dx. You do not have to find the area. 3

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Q: The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to…

A: Given we can conclude the graph is as follows

Q: 6- If a,b,c,d>0, use the properties of logarithms to simplify and then find the exact numerical…

A: NOTE: Refresh your page if you can't see any equations. . we will use the below properties of…

Q: Question Simplify the following series of additions and sub -5-8+9-10

A: We have to Solve : -5-8+9-10

Q: sider the function g: (0, π) → R defined by g(x) = sin² (x) -√3 sin(x). Compute g'(x) and g" (x).…

A: We will find the required.

Q: The expression 256g³y³√√/256g³y³ = kg"y³ where: T = , 8= and k =

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Q: If lim f(x) = 5, must f be defined at x = 1? If it is, must f(1) = 5? Can anything be concluded abo…

A: NOTE: Refresh your page if you can't see any equations. . it is given that,  then f may be not…

Q: Solve equation on the interval 0 ≤ 0 < 2π. 5 sin2 0 - 12 sin 0 + 7 = 0 0 =

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Q: [2x dx

A: Given: ∫2xdx

Q: Show that f(x) = √æ³ + 1 is a one-to-one function. Then find its inverse.

A: We have given function fx=x3+15 fx1=x13+15 fx2=x23+15 Put fx1=fx2 x13+15=x23+15 x13+1=x23+1 x13=x23…

Q: . Check whether the following equation is linear or not? dx a. x + sinx + x = 5+t_b.xx+3y² dx = 3 dy…

A: NOTE: Refresh your page if you can't see any equations. . the first order linear differential…

Q: Use the graph to find the following limits and function value. a. lim f(x) x+0 b. lim f(x) x→0* c.…

A: We have to find the limit of function f(x) using the given graph of f(x) at point x = 0.

Q: Find the limit. Answer X- 16 lim x→ 16 √x-4

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Q: given that  lim x > 2     f(x)= 4 lim x > 2    g(x)= -2  lim x > 2    h(x) = 0  find the limits…

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Q: 9) The cartesian equation for the line ratne-2rcos - 1 is a) 2y-x-1 c) y=2x-1 d) None of the above

A: we need to write down the Cartesian equation for the given polar equation.

Q: 4 16.) Write a limit expression equal to f(x² +1) dx. You do not have to find the area. 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: [2². x² - e² dr ford dx I see sec²(x) dx

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Q: A point charge +2Q is at the origin and a point charge -Q is located along the x axis at x = d as in…

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Q: The expression 256g³y³ √✓/256g³y³ = kg"y³ where: T = , 8= . and k =

A: Given query is to find the valuea of r,s,k.

Q: Find the product. Simplity your answer. 2z^(2)(-3z^(2)+5) ..

A: This is question of calculus  Here multiplication of z numbers given  Further calculation is given…

Q: Q20:4 Q21: √8- (A)4G) (B) 4) (A) 0 (B) 1 (C) 4) (C) I (D) (D)

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Q: Francesca and Ava's rocket follows a flight pattern approximately modeled by the equation h(t) = -12…

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Q: lim In 2x x→2

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Q: Use the distributive property to rewrite the expression. 45. -3(k-4) A) -3k +12 46. 47. 48. 49. 50.…

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Q: Find the slope of the tangent line to the curve y=1+1x at x =2. Do not use the derivative but rather…

A: Please see the below picture for detailed solution.

Q: Determine if the following pair of planes are parallel, perpendicular, or neither. Explain your…

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