1. Differentiate a trig function that is greater than a power of 1, and involve either quotient, chain, or product rule.

Q: _4. (x- y)? =x+ y - 1 _5. 2xy = 3 _6. -x x-y _7. _8. ye = In(xy) xe = In y 9. (y - 5)? = 8(x – 3)

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Q: y ev = z - 1: y (2) = 0 O = In(z² – 2x + 1) O = In(z? – 2z) + C O = In(z² - +1) O = In(z² – 2z)

A: The differential equation is given by yy'ey2 = x-1 The initial condition is given by y2 = 0 To evalu...

Q: 7. y = 4 e2x, 4th derivative 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative

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Q: 2n tan h 3x 3-) Arc sin tanh X

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Q: thea calcudeator to lach to the near1sk thousandth tHog124 20) 10gs 10.818

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Q: dy Then find the slope of the curve at the given point. Differentiate implicitly to find dx y -x = 2...

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Q: 1/4 1. Find all the values of 3

A: The given number is: i-3314 Now, i-33=-13+i3 Let, -13+i3=rcos θ+i rsin θ⇒rcos θ=-13 &  rsin θ=13...

Q: region bounded by the given curves about the speafied line. y y,about y= 1 Sketch the region. Sketch...

A: To find the volume of the solid obtained by the rotation reason bounded by the curve. y=x^2 , x=y^2 ...

Q: If f(x) is a continuous function such that it is increasing on [1, 3], then Si f(x)dæ is less than t...

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

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Q: Suppose h(x) = [,f(t)dt on the interval [0, 12], where f (t) is shown in the graph below. f (t) -4- ...

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: 2) x" = (Power RUle, n any nonzero integer)

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Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =...

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Q: Letting aa and bb be two positive real numbes such that ab=lab=1, which of the followings is true? I...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 10i + 3j. NOTE: Enter the exact answ...

A: The given question can be solved as shown in step2

Q: 11. Evaluate dx if possible. If not possible, explain why. Vx? – 9

A: The objective is to evaluate the integration.

Q: The integral of the given function fł-16) dx is v-16 +C a. Vx - 16 - 6Arcsec+ b. Vx - 16 - 6Arcsin+ ...

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Q: 4. Find all points on the curve y = log (x³ – x) at which the tangent line is horizontal.

A:  We will find all the points on the curve at which the tangent line is horizontal using calculus as ...

Q: Find the indefinite integral and check the result by differentiation. dt F--3-3)- 8. 12

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Q: If an open box is made from a tin sheet 9 in. square by cutting out identical squares from each corn...

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Q: The forward motion of a SpaceX Dragon, t seconds after touchdown, is described by s(t) = 198t – ti, ...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: dx dy 1.65. dt Given y = x. Find when y = 6 and dt %3D dx (Simplify your answer.) %3D dt

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Q: Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. 3 f(x) = x° - 2...

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in...

A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: 1. Determine whether the following series conv. or div. (n+4)! a. Ln=1 4! n! 4n 1 1 b. En=1 4n 2" co...

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Q: Solve for the indefinite integral of the given. Upload your solution before moving on to the next qu...

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Q: A Evaluate the following integrals. 1. S2 dx 2. S6x dx 3. f9° dt 4. S-15x dx 5. S(3x - 4) dx 6. S(7u...

A: As per guidelines, I can answer maximum three subparts of a question. Since you have asked for 11 su...

Q: ketch the region bounded by the given curve . y = x², y = 2x %3D

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Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this functio...

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Q: Why 3^(x+2)-10×3^(x)+1=0 is -2 or 0?

A: Put x=-2 or x=0 and check which 'x' satisfy the equation .

Q: (2k + 6)! Consider the series > ar | k-1((k + 4)!)2" k-1 a) What is ak+1? ak-1 = ak+l? b) What is ak...

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Q: Find a function of the form y = A sin(kr) + C or y = A cos(ka) + C whose graph matches the function ...

A: From thr givrn graph, we have to find its equation

Q: A particle travels along the x-axis such that its position is given by æ(t) t22 sin (2t). What is th...

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Q: Sketch the region enclosed by the given curves. y 2 cos(7x), y = 2 sin(14x), X = 0, 14 y 2.0+ 1.5 1....

A: We have to find the area between the curves.

Q: How to find the antiderivative Integral 13x cos (-3x + 1) dx

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Q: Evaluate the integral. 2V3 dx 4 V 16 – x2

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Q: The integral of the given function f- (9- dr Arcsin +C b.+ Arcsin + C c. -- Arcsin +c d. None of the...

A: To find the value of a given integral we use the substitution method 

Q: (* + 2)(r – 8) f(x)=- 6)(s + 4) x =-6, x= 4 h(x)3=

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the exact length of the curve. 1 y = 1 <x < 3 4x

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Q: sin 2ax Given ſ cos? (ax)dx : Calculate the following definite integral f cos2 (0.5x)dx. 2 4а

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Q: kx +5, g(x)={ 2 x<-2 4. If the function 3x+x², x2-2 is continious at x=-2, then find the value of k.

A: Given query is to find the value of k.

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: The integral is ∫4+1t31t2dt

Q: Given the piece-wise function x² – 2x + 5, 3x2 – 2x – 5 f(x) = 0 2 Determine whether f is continuou...

A: G

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the ar...

A: Solve the following

Q: The plane x + y + 2z = 20 intersects the paraboloid z = x² + y² in an ellipse. Find the points on th...

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Q: Assignment: Determine the derivative of the ff. functions. 1. y = 8x5 - 2021, 5th derivative

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Q: Test the series for convergence or divergence. TT 17. 2 (-1)" sin - n=1 n

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: Use property of polynomial for evaluating the integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) cos. de e2

A: We will find the indefinite integral as following.