Learning Target INTI: I can correctly antidifferentiate basic functions and identify antiderivatives. Find the most general antiderivatives of each function. 1. y = 2x²-x+ 2/1/2 2. g(x) = secr tanr-² 3. h(x) =√x-x
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Q: 1. Find the surface area of the portion of the paraboloid z = x² + y² below the plane z = 1.
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Q: If is differentiable, then the function. e + f(x) √√3 is differentiable.
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Q: If 3 A = -4 -4 8 1 x 4 1 1 Is a singular matrix, then x is 1
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Q: 3 Find the values of constants a, b, and c so that the graph of y = ax³ + bx² + cx has a local…
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A: Given: Graph of y = fx To find: The value of x for which the given statements are true.
Q: In which limits below can we use L'Hospital's Rule? 1- eª x+0 sin(6x) Olim lim I→∞ lim I→0 lim x →∞…
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Q: п Convert the point (p, 0, 0)=(3, 377) 6 expressions, or decimals to at least one decimal place. (x,…
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Q: Find the centroid (x, y) of the region bounded by the two curves y = 6√ and y = 3 x = TU
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Q: Describe the given region in polar coordinates.
A: Please see the below picture for detailed solution.
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Q: Evaluate dw dt OA. -9 OB. 5 O C. 11 O D. 7 at t= 1 for the function w(x,y) = x² - y² + 9x; x = cos…
A: Given: w(x,y)=x2-y2+9xx=costy=sint We are required to find dwdt at t=π2
Q: Find the equation for the tangent plane to the surface z = 9x² - 6y² at the point (2, 1, 30). OA.…
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Q: Find the derivate of the function: a) f(x) = x²(x²-8) F'(x) = 2 b) f(x) = (5x²³-7) (6x + 1) = 3 c)…
A: Since you have posted multiple question in this question so i have solved the first three subpart…
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Q: The Sixth Gate After walking through the fifth gate, your computer informs you that more than half…
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A: Given f is differentiable at 1 f'(1)=1=f(1) We are required to find limx→2x4fx2+x-5-16x2-4
Q: Question 18 ( Show that the equation has exactly one real solution. 207e+2023 In 24
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A: Given: y = 4x2 x = 1 y = 0 about x-axis
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Q: S Du Arriving at the eighth and penultimate gate, you immediately get to work. "Computer, translate…
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Q: Q9 Given g(2) = 3 and g'(2) = 5. Evaluate f'(2) where f(x) = 5g(x) (a) 15 (b) 0 (c) 25 (d) 10
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Q: Find the distance from the point (4,-4,-5) to the line a(t) = (3, 1, − 4)t + (9,- 5,3)
A: Given equation of line:- a→t=3,1,-4t+9,-5,3
Q: 2) Sketch the graph of a continuous function y = f(x) that satisfies the following (Identify any…
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Q: Ifis decreasing and its graph is concave pon (0, 1), which of the following could be graph of the…
A: If f is decreasing and its graph is concave up on (0, 1). Wich of the following is the graph of f'…
Q: Q.#9 For above function, please find and classify any other removable or non-removable…
A: Q.9 For above function, please find and classify any other removable or non-removable…
Q: 1. Determine an equation of the line tangent to the curve y = 2x² at the point with x-coordinate-2.
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Q: Find the arclength of y = 2x² - 5 on 0 ≤ x ≤ 1
A: Given: y=2x2-5 on 0≤x≤1 To find: Arc length.
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Q: h(x)=5.5x-3.42 The leading coefficient of the polynomial
A: We know that the leading term of polynomial is term that contain the highest power of variable.
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A: The given function is; f(x)=sqrt(4-34x).
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Q: In which limits below can we use L'Hospital's Rule?
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Q: For y = f(x) = 3x -1, x = 4, and Ax = 2 find a) Ay for the given x and Ax values, b) dy = f'(x)dx,…
A: according to bartleby policy we do only first part of multiple questions (1) f(x)=3x-1given x=4…
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Q: +31x gives the cost, in thousands of dollars, to produce x thousand items. C(x) = 0.01x³ -0.9x² +…
A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other…
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- A box with length equal to " x " times the width must have a volume of " V " cm3.Find the dimensions of the box that minimize the amount of material used.The width of the box measures = cmThe length of the box measures = cmThe height of the box measures = cmThe ost of manufacturing a modeled part is related to the quatity produced durin a producion run. When 100 parts are produced, the cost is 300 . When 400 parts are produced rhe cost is 1800. What is the average ost per partThe strength of a patient's reaction to a dose of x milligrams of a certain drug is R(x) = 8x square root of 16 + 0.5x for 0 ≤ x ≤ 120. The derivative R'(x) is called the sensitivity to the drug. Find R'(40), the sensitivity to a dose of 40 mg. R'(40) =?
- Marine life is dependent upon the microscopic plant life that exists in the photic zone, a zone that goes to a depth where about 1% of the surface light remains. In some waters with a great deal of sediment, the photic zone may go down only 15 or 20 feet. In some murky harbors, the intensity of light d feet below the surface is given by I=I0e^−0.34d, where I0 is the intensity of light at the surface. What percentage of the surface light will reach a depth of (A) 5 feet? (B) 10 feet?Range and height versus speeda. Show that doubling a projectile’s initial speed at a given launch angle multiplies its range by 4.b. By about what percentage should you increase the initial speed to double the height and range?y = 2x3 − x2 Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.) relative maxima (x, y) = relative minima (x, y) = points of inflection (x, y) =
- Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest to A and B are 6 km apart. Where should a station be located to minimize the length of the new road from A to S to B? (grade 12 calculus, use derivatives)You hire a driver to drive your car 400 miles. If the driver is going at a speed v (assume that v >0), then the trip will cost you C(v):=96000/v(85−v)+8000/v. At what speed should you ask the driver to drive to minimize the cost to you?Solve using Integrating Factor by Inspection. Do not use Exact Method. Show Complete solution. (x^3+xy^2+y)dx+(y^3+x^2y+x)dy=0 Ans: (x^2+y^2)^2=c-4xy