Spot the mistake/s in the solution. Tick the box that applies. CSC csc" da -2 dx 3 S cccx cot x dx * Csc dx %3D - cot A + tan x + C %3D O 4 O 3 O 2 O 5

Q: Question 10 1+ cost = | cor*rdt cot'rdt I- rost

A: integration

Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: 2. The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does...

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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 2(1-z) 3(1--z) dydxdz = 1 0 0

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Q: onsider the ellipse E in the xy-plane defined by the equation ax2 + y2 = 1 where a is positive. (1)...

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Q: 9. y(x) = V + ti dt

A: Fundamental theorem of calculus 

Q: The temperature of a metal ingot is 60°C above room temperature right now. Ten minutes ago, it was 6...

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Q: Consider the following curve. y = 3x2 13x + 1 Find the slope m of the tangent line at the point (5, ...

A: We have to find tangent line

Q: Find an equation of the plane perpendicular to the line through (2, 2, –4) and (7, –1,3) and contain...

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Q: Find the sum of the infinite series, if it exists. 1 1 6-1+ 36 6-1+-- t... Enter the sum as a fracti...

A: The general form of an infinite geometric series is: a + ar + ar2 + ar3 + ..... Here, a is the first...

Q: Variable Separable (6) (xy -3y +x – 3)y' = xy + 2y - x- 2

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: If the domain of the function f(x) is {r E R| – 2 < x < 4}, the the domain of the function g(x) = f(...

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Q: Variable Separable (8) dx dy e 3x+2y; Provide the explicit solution (9) secx dy = sec 2ydx

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Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

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Q: ++dy=e' dy A True B False

A: topic - exponents and integration

Q: Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of i...

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Q: Question Evaluate the following limit using L'Hospital's rule. lim (e + 2a)() 6x Provide your answer...

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Q: 4

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Q: Circles and parabola are functions A. True B. False

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Q: Find the Taylor series expansion of f(x) = x – x³ at a = -2 Select the correct response: 6 – 11(x + ...

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Q: Find the derivative of the vector function r(t)=ln⁡(7−t^2)i+sqrt(8+t)j−5e^(2t)k r′(t)=⟨  ,  ,  ⟩

A: The given vector function is r(t)=ln(7-t^2)i+8+tj-5e2tk We have to find the derivative of the vector...

Q: Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative a...

A: Given function is   f(x) = 7x + 1 To find the equation of the tangent at x=9. Now at x= 9 , f(x) = 7...

Q: 7/2 sec*(t/2) dt

A: Here we will solve the given definite integral,

Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the...

Q: 2x+5 교-4x+6

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Q: Find 34. tan?x sec x dx

A: Given that: ∫tan2x.secx.dx

Q: Find a parametrization of the circle of radius 7 in the xy-plane, centered at the origin, oriented c...

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Q: Question 14 Which of the following is an equation of the parabola with the following properties: ver...

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Q: One the first day of class, a professor asks each student what country they are from orginally. What...

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Q: - / 4(1-)esc2(1– y)dy

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Q: A function F is an antiderivative of the function f on an interval I ifLfor all x e 1. (A) F(x) =f (...

A: A function F is an antiderivative of the function f on an interval I if 

Q: -1, and f'(4) g'(4) = 5. Suppose h(r) = (f(r) + VI) · g(r), f(4) = 3, g(4) : What is h'(4)? Express ...

A: Topic = Functions

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

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

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Q: Find a set of basic vectors {ü, i} in R“ so that every vector in the solution set of the equations c...

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Q: Find the distance between the point (3,-3,6) and the line X= 2+4t y=-4t z=-1+5t

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Q: If f(x) = In( 3 + e4x ), find f '(0). f '(0) =

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Q: A pyramid of height 500 ft has a square base 800 ft by 800 ft. Find the area ? at height ℎ....

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Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v

Q: (a) What is the relative growth rate? Express your answer as a percentage. (b) What was the intitial...

A: Follow the procedure given below.

Q: What is the equation of the directrix of the parabola x2 + 2x+4y– 27=0? A y=8 B y=0 (© y= -2 D y=6

A: Solution ) x2 + 2x + 4y - 27 = 0 Add 1 and subtract 1 in equation  x2 + 2x +1  - 1  + 4y - 27 = 0 (x...

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: se vectors to determine whether the triangle with vertices A = (1,–3,–2), = (6,–2, -5) is right-angl...

A: we know that if the dot product of two vectors is zero then the two vectors are perpendicular. there...

Q: y = x, y = 3x; about the y-axis

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Q: if 2 and gcx) -X and h =1-2X %3D Find, fog fog, gof, gog, gofoh, fof > fof .

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Q: An investment firm expects the price of the Campbell’s Soup Company stock to increase via P(t)  =  P...

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Q: Find two sets of symmetric equations of the line through the points (1,2,1) and (5, –1,1).

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Q: Simplify to a single trig function with no denominator. csc- 0 cot? 0

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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.