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Q: Suppose y = (x² + 5)³. (a) Find the differential: dy dx. (b) Compute the differential when x dx 2 an...

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Q: Determine the derivative of y (x) = ( 3 x² + 11 x + 4 )³ e-6 x with respect to x. y '(x) =

A: topic - derivative of a function

Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.

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Q: Let a2 az A = | b1 b2 b3 C1 C2 C3 Suppose that det(A) = 3. Find the determinant of the following mat...

A: On changing determinant of row to corresponding column, there will be no any change on determinant.s...

Q: dP 16. dt 11-18 Find the solution of the differential equation that satisfies |Pt, P(1) = 2 7.3: 16 ...

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Q: Calculating Mass from Radial Density. Mass-Density Formula of a Two-Dimensional Circular Object. Giv...

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Q: Determine the general solution for the given higher order differential equation. dz (D² + 16)³(D² + ...

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Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

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Q: Find the focus of the parabola 4x +24 =8y-y².

A: Given: - The parabola is, 4x+24=8y-y2 To find: - The focus of the given parabola.

Q: and horizontal lines), without performing the integration. (c) Write down the integrals with their l...

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Q: 17. Find the volume of the solid generated by revolving about the x-axis the region bounded by the u...

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Q: Find the area under the graph of the function f(x)= 7sin(x) bounded by the x-axis and the lines x=0 ...

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Q: "Jung Kook PROBLEM SOLVING" Jung Kook stayed at McDonald's and ordered a cup of hot coffee. When the...

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Q: Vh+ 256 – 16 Find the limit, if it exists: (Do not use L'Hospital's rule) lim h

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Q: 3sin4t di 5(1– 3cos21)

A: To solve the integration. 

Q: Зx+2 2. Perform the indicated function evaluations for f (x) = 2x+3 a) f(-4) b) fE) c) o) f(-) e) f ...

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Q: 1 dy rVx²-9/ -3 dx exVe2x_9,

A: ∫1xx2-9dx  

Q: Are the rational numbers closed under addition? Choose the correct answer below. Yes O No

A: Given question :-  Are the rational numbers closed under addition ?  

Q: Find the volume generated by rotating the region bounded by the curves about the specified axis. Use...

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Q: A glacier in Republica was observed to advance (h)2.5______ inches in a (i)____71_______ minute peri...

A: This is a basic problem of calculus

Q: Show that for every point on the curve r(t) = ⟨etcost, etsint, et⟩, the angle between the unit tange...

A: First we find unit tangent vector any arbitrary point on given curve

Q: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many antide...

Q: Suppose that for each i such that 1 <i<N one has / f(1)dt = i Ji-1 What is / f(t)dt if N = 87?

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Q: 1 The function is equivalent to the series: 1-2t Select the correct response: 3 5 -1 -t--t2 2 t3 + ....

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Q: For the following exercises, use shells to find the volumes of the given solids. Note that the rotat...

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Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

Q: nsider the graph of J belov y = f(x) (a) Analyzing the graph, if g(x) = f(x), then is decreasing for...

A: Given query is to find the indicated interval.

Q: t 1. Perform the indicated function evaluations for g(t) = 2t+6' a.) g(0) b.) g(-3) c.) g(10)

A: topic - functions note : As per bartleby guidelines, we are supposed to answer only first three subp...

Q: 1. Using tables of values, determine the limits of the following. (a) lim (a) (b) lim)2x) (c) lim (-...

A: This question is based on Limits .

Q: 2. Examine the given graph of f(x) and evaluate the following. 44 а) lim f(x) = d) lim f(x) = 2 lim ...

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

Q: Consider the function f(x) = -6x2 + 4x – 6. (a) Find all critical numbers c of f. c= (b) The local m...

A: topic - application of derivatives

Q: Pescribe how the graph of the function g(x) = - x can be obtained from the basic graph. Then graph t...

A: f(x) = xmultiply  by 1414f(x) =14 x      ( Vertical Shrink by 14)now multiply by (-) sign -14f(x) =-...

Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2). ...

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Q: 4. Find and completely simplify the 6th term in the binomial expansion of: (2x - "

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Q: ese()2 TT csc 6 ? What is the exact value of

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Q: Which of the following is not in the domain of tan(x)? Select all correct answers.

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Q: INSTRUCTION: Solve the given differential equation below by undetermined coefficients. y" + 6y + 9y ...

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Q: (s+1 if s 1 (a) Find lim f (s) (b) Find lim f(s) S-1 s--1 2t +3 if t 1 2. g(t) = Find lim g(t) %3D ...

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Q: On the graph of f(x) = csc x and the interval (0, 27), for what value of x does f(x) = –1? Choose al...

A: Topic:- trigonometry  

Q: Write an equation of the tangent line to the curve f (x) = 10//7 + 6x at the point (4, ƒ (4)). Uploa...

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Q: Find the equation of the line through the points (,-2) and (-4,-1). Write your answer in the form y ...

A: We need to find equation of line.

Q: S cos3 x sin* x dx

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Q: Find the component form of v given its magnitud and the angle ir makes with the positive x-axis. Mag...

A: Given that: Magnitude of v, ||v||=43 and angle, ∅=90°.

Q: regions between the given curve and y= 1 ,y=1, and y=4 1+y 134 X= 2

A: Given: - The curve is, x=11+y2, y=1 and y=4 and y=0 around the x-axis. To find: -The volume generate...

Q: f (x, y) = 4xy² + 5a°y fzy (1, 1) = hx

A: Given: - The function is, f(x,y)=4xy2+5x3y To find: - The value of fxy(1,1)=

Q: All parts of this problem refer to the function below. y = (9+ 6x)²/¤ dy a) Use logarithmic differen...

A: We have to find derivative

Q: Find the derivative of f (x) = (4x + 1)(5x² + x/x ). Upload your work in the next question. The deri...

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Q: 1. (2xy-tany)dx + (x² – xsec?y)dy = 0; y(1) = r 2. [4x°cos(xy)-x*ysin(xy)- ye" +3x²]dx -[x°sin(xy)+x...

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Q: 1 2e*dx where e = 2.7183 0.

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Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5 ...

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