Q: Evaluate the integral. √23- 7 dx √25-492 S Otan ¹(x) + C 1 O sin 1 (3) + c C 01 0 / sin ¹ (2x) + C O…
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Q: What rule is faster to use to find ? d d.x (52) O The Constant Multiple Rule O The Product Rule
A: we need to write down the rule which is more suitable to use here.
Q: Consider a cone of height h radius r = = 4. Let the cone be oriented so that the base sits on the…
A: Given that:- Height of cone 12 and radius of cone 4
Q: 3. Find f'(x) for f(x) = 3x-4 2x+3
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Q: In Exercises 7-10, write an equivalent first-order differential equation and initial condition for…
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Q: (ii). Verify that y = C₁x + ₂x² + 3x³ is a solution to the differential equation x³y"-3x²y" + 6xy' -…
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Q: The total number N of people in a Washington state community contracting a flu virus t days after…
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Q: 1. Find the equation of the tangent line to the curve y = lnx² that is parallel to the line y = x.…
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Q: pln x • ² [d ("" (e² - 4) dt)] da dx dx π Evaluate
A: To evaluate the given integral
Q: a. Approximate the given quantity using Taylor polynomials with n = 3. b. Compute the absolute error…
A: We need to estimate value and find error.
Q: Determine the radius and interval of convergence of the following power series. + 13 x² X 4 15 9 17…
A: We need to find interval and radius of convergence.
Q: Find the area of the surface generated by revolving the curve y = √/2x-x2, 0.75 ≤x≤ 1, about the…
A: formula for surface area is A=2π∫aby1+(dydx)2dxy=2x-x2dxndx=nxn-1
Q: y"-9y= 9 e³x
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Q: Find the area of the surface generated by revolving the curve about the given axis. x = 7 cos(0), y…
A: formula for surface area is A=∫0π22πxdswhere ds=(dxdθ)2+(dydθ)2
Q: Give a word problem regarding maxima and minima: algebraic functions Show FBD
A: To solve, A word problem regarding maxima and minima: algebraic functions. Word Problem- John wants…
Q: If a = i - 5k and b = j + k, find a x b.
A: given a=i-5kb=j+k
Q: 3. Find the value of a if the two curvesy - e and ye are to intersects at right angles. 4. The sum…
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Q: Evaluate the integral: V4-2² 14x² (A) Which trig substitution is correct for this integral? 0x = = 4…
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Q: The second derivative OF a certain function is 4X, the equation of the curve if its slope is -3/4…
A: To find the equation of the curve with the given characteristics
Q: k² 100 9. Determine whether the series Σk=1 k is convergent or divergent
A: We have to find if the given series is convergent or divergent.
Q: 3. Find the following limit if it exists, or prove that it does not exist: x² cos y lim (x,y) →(0,0)…
A: To find the following limit if it exists, or to prove that it does not exist.limx, y→0, 0 x2 cos…
Q: Convert the equation r = - - 14 sin 0 to Cartesian coordinates. Describe the resulting curve. Choose…
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Q: uate the following integral using trigonometric substitution. S 2 √81-x at substitution will be the…
A: Given query is to find the integral.
Q: Find the derivative of y with respect to x if y = In (5x) S 0 sin (3e¹) dt.
A: To find the derivativeof y with respect to x if y=∫0ln5x sin3et dt.
Q: Use implicit differentiation to find dy dx 4xy + y2 = 3x + y dy dx
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Q: If you drive 98 miles and use 7 gallons of gas, what is your rate of gas consumption? miles per…
A: Given query is to find the rate of gas consumption.
Q: Find the values of the trigonometric functions of 0 from the information given. tan(0) = -3, sin(0)…
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Q: 1. Find the equations of the tangent and normal lines at a specified point. (3) 1. y = √1 – x² at…
A: we need to find out the equation of the tangent line and normal line at the given point.
Q: Find the derivative of y with respect to x if y = dy dx || In (4x) ! sin (6e¹) dt.
A: To find the derivative of given function
Q: The function f(x)=x²-10x + 16 is positive on (0, 2) and (8, 10) and negative on (2, 8). Find the…
A: We are required to find the area bounded by the curvef(x)=x2-10x+16, the x axis, and the vertical…
Q: Let R be the region bounded by x = 5, y = 3x + 7, 3x + 25. Y = To find the volume of the solid when…
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Q: Find the exact length of the polar curve described by r = 6e-0 7 on the interval ≤ ≤ 8π. π
A: formula for are length is L=∫abr2+(drdθ)2dθdeθdθ=eθ
Q: TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold.…
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Q: Find the Taylor polynomials P₁, P5 centered at a = 0 for f(x) = ex. P₁(x) = P₂(x) = P3(x) = P4(x) =…
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Q: The polynomial f(x) given below has -2 as a zero. f(x) = x³ + 12x² +54x +68 Find the other zeros of…
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Q: Given that 12 f(x) = x¹²h(x) h(-1) = 4 h'(-1) = 7 Calculate f'( − 1). product rule and the power…
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Q: Find a parametric description of the line segment from the point P to the point Q. P(0,0), Q(8, -20)…
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Q: Evaluate the indefinite Integral [ta tan 0 sec¹0d0
A: In this question, we want to solve the given indefinite integral.
Q: Find the point (x,y), at which the graph of y = 2x² + 3x - 7 has a horizontal tangent. The function…
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Q: Show that T 9²²-x² dx ча In atx a-x +C
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Q: (2) ) (A) Suppose Ris the region in the second quadrant bounded by the circle x² + y² = 9, the lines…
A: Given that:- Region R bounded by x2 +y2=9 ,y=-x and x=0 in second quadrant
Q: Find the function with the given derivative whose graph passes through the point P. 3 g'(x) = 4 X +…
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Q: Evaluate the integral. [cx (2+ = (2+ =) dz (2) 0.7 csc O O csc (2+7+ C CSC O-ESC (2 + + 7) + C +C…
A: cscx=1sinxcotx=cosxsinxdsinxdx=cosx∫xndx=xn+1n+1+c
Q: 3 36. Evaluate cos 20, given cos 0: = 5 sin = 4 5 and 37. Evaluate sin 20, given cos 0 and 4 5 sin =
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Q: N + 1) = ap (1 + a + x +^x)
A: given differential equation is :- (xy+x+y+1)dy=(1+y2-x2-x2y2)dx⇒(x+1)(y+1)dy=(1+y2)(1-x2)dx⇒y+11+y2…
Q: Find the radius and convergence of the following: xn Σ (n!)2 n=1
A: NOTE: Refresh your page if you can't see any equations. . the given sequence is substitute n+1…
Q: b) an = Find the limit of the sequence, if it exists. (Again, this is a sequence, not a series)…
A: To find the limit of the sequence, if it exists.an=1-3n5n
Q: Evaluate the surface integral 3 z do, S where S is the portion of the plane x + 2y + z = 2 lying in…
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Q: Evaluate the indefinite integral [sin² z cos³ zda
A: Given query is to find the integral
Q: Maria received a $20.00 gift card for a photo cerer. She used it to buy prints that cost 9 cents…
A: Question Maria recived $20.00 git card for a photo center. She used it by arts that cost 9 cents…
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