Calculate the following limit: lim( lim(3) e-5z+6 2-9 O 1/6 0 1 O does not exist

Q: 16. If r'(t) is the rate at which a water tank is filled, in liters per minute, what does the…

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Q: Find the constant a such that the function Is continuous on the entire real Iine. 7sin x If x <0…

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: The graph of a function f is given. Use the graph to find the value f1 (3). Q 6-

A: For inverse function value of x and y get interchanged   Given f-1(x)=f-1(3) x = 3 , y = ? as  value…

Q: Find dy If y=1-t and x2 dx

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Q: lim (1+)* X→00

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Q: 7 What is the exact value of sin if sin() = 5, where <v<n? 10 7/7 B 10 10 7/2 10

A: Given that,     sinv=725, where π2&lt;v&lt;π

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hoptal's Rule. 3(x-7) Iim x…

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Q: find p, when it converges

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Q: Find the flux of F(x, y, z) = 4а, 32 + 2?, across the positively oriented surface 2 S given by R(u,…

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin'x+ 3 cos?x=1+2…

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Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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Q: Which of the following angle measure is coterminal with an angle whose measure is 798°? -78° -278°…

A: Let the angle be theta.

Q: If = 27- 67 + 2k and y = i+3 - k, determine + 25.

A: Topic = Vector

Q: (27) Evaluate the integral: 1 IP: 5t + 4)2.7 dt

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Q: -2ln(cosx 03. lim,0 .2

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Q: Show that the vector a=(-1,13, – 5)can be written as a linear combination of b = (1, 4, – 2) and c=…

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Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use or-w, enter INFINIT x -…

A: we have to find the limit

Q: Supply the missing integrand and the limits of integration (dx dy _dy ху y e'dy -1 ® /' (e -1)dy -1…

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Q: (D² +4)y = 4cos x

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Q: (c) y"e* + ye* =x

A: option C is correct answer . explanation in next step   . please give a like

Q: 5. Find the quadrant where tan 405° lies, its reference angle, and also the exact value.

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Q: Graph the line that passes through the point (0,6) and has a slope of - 4. OA. О в. Oc. OD.

A: Topic = Geometry Correct option = B

Q: y = sin z

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Q: 1-Find the area of the region R under y=x² + 3x +2 Between x=-1 and x=2 2-the region bounded by…

A: Topic:- application of integration

Q: Solve the system. If the system has infinitely many solutions, write the solution set with x…

A: To find the solution set of the given system of equations.

Q: 5+ -6 -5 -3 -2 2 -2 -5t The curve above is the graph of a sinusoidal function. It goes through the…

A: Here, the required function is of the form: f(x)=Acos(B(x-D))+C

Q: The count in a bacteria culture was 600 after 20 minutes and 1500 after 35 minutes. Assuming the…

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

Q: Find each limit, If it exists. 6- 4x (a) lim 6x - 7 4x (b) lim * 6x-7 () lim 6x 6-4x2 %3D Submit…

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Q: wa?y+ xy² + tan (wx) Determine dyðwdx Your answer

A: solution

Q: Write an equation for the polynomial graphed below 5+ 4. 3. -2 -3 y(x) = %3D 2) -2

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Q: ( 19 ' Evaluating cot 3 will yield to A 3 B -V3 D

A: Here, cot19π3cot6π+π3

Q: +2D+2)y = e csc x

A: Solution: (D2 +2D +2)y = e-xcsc(x)

Q: 1. Determine whether the series En=1 2n4+1 is convergent and explain why.

A: We have to find the convergent As per guideline we have to solve one question Please repost other…

Q: rcos(x) d (32) Find the derivative: dx V1 – t2dt

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Q: Consider an angle in standard position with measure - 1615°, in which quadrant does its terminal…

A: given angle θ=-1615°

Q: Find the derivative of the function. 11) y = cos x4 A) dy -4 sin x 4 B) dY - sin x4 dx C) dy - -4x4…

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Q: 1+sin (n) 2. Determine whether the series is convergent explain why. Ln=1

A: We have to test the series

Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: B. Directions: Compute the definite integral of the following functions using the Substitution Rule.…

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Q: Learning Task 1. Do this indicated task individually. 1. Find the equation of the tangent line to…

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

Q: Consider a triangle ABC like the one below. Suppose that A=105°, C=34°, and b=29. (The figure is not…

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Q: dz Determine whether the integral converge (and evaluate to what it converged) or diverge: Jo 5-z A.…

A: The given integral is: I=∫05dx5-x If its value is finite then it converges to that value otherwise…

Q: find area between line y=-2+x and y=x^(1/2) and x-axis 26/4 O 23/6 O 36/2 O

A: Question- Find the area between the line y= -2+x and y=√x  and x axis.

Q: Which of the following is an identity? A sec(t) = cot(t)csc(t) B cos(t) = sin(t)cot(t) B sin(t)…

A: Find the identity

Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: 7) Assume that the temperature of a person during an illness is given by: 5t T(t) : + 98.6, t2 +1

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Q: Find the derivative of (2r+1)= (x) 8 For the toolbar. press ALT+F10 (PC) or ALT+FN+FT BIY S…

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Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

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