154. Use the Fundamental Theorem of Calculus, Part 1, to find sin x d dx √1-t²dt.

Q: Find the general solution to the differential equation dy/dx=x^2/y+3.

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Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We have to use simple logic to solve the problem

Q: 7. Show that the equation of the plane that has x-intercept a, y-intercept b, and z-intercept c…

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Q: 3. Find the average value of the function on the given interval. a. f (x) = 4x − x², [0,3] 2 2 b. f…

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

Q: Let L(y)=(x-1)y" - xy + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by…

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Q: 4. Determine the number of terms in the sequence: -45, -32, -19, -6, 410 ***

A: There are 36 terms  in the sequence.

Q: Exercises To Solve [No.5] 4 S (X-+1) √ X ²2X-3 3-2x-x²

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Q: cos 3x cos 4x dx

A: ∫cos3xcos4xdx here we use formula  2cosxcosy = cos(x+y) +cos(x-y) here x = 4x      y = 3x

Q: The cost (in dollars) of producing a units of a certain commodity is C(z) = 7000 + 18z +0.5x². (a)…

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Q: S For x1/2 dx and using the substitution = x1/2, the resulting integral takes the form: x-x3 -du S-…

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Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

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Q: 4. Consider the plane : x + 3y - 2z = 6 and the line with parametric equations l: x=4-3t, y=2+t, z =…

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Q: lim f(z) = #t * NE

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Q: ¡¡xaydx xexy dydx 10 Option 2 Option 1 e²+e=¹+3 e²+8²-3 e²-6-1-3 Option 3 None of the choices

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Q: Investigate the given function and graph it accurately. 1. y = x²-x+1 x-1 2. y = In - -1 x+5

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Q: 2. z = ²+² У Х

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Q: Evaluate 3 TIT 4xyzdxydydz O 15 O 15/2 10 о None of the choices

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Q: b. b. y = 2 1+e-x at (0,1)

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Q: line l: x = = and point P(1,0,1). ● Find the set of parametric equations of the line parallel to…

A: Both questions are solved.

Q: Given the following planes: 1. 2x - y - 6z = 5 II. (x-1, y - 1, z - 6) * (3, 1, 1) = 0 III. (0, 8,…

A: Topic: Plane in three dimension geometry The solution is given below:

Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

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Q: -x+1 3+z Given the points R (1, -1, -3), the vector v = and the line d: = 1 + y = 3 2 1. Determine…

A: Both questions are solved.

Q: Text Canada's population is about 33 million people. It is increasing at about 1.8% per year. How…

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Q: solve the DE b

A: The DE is (x-y+2)dx-dy=0or, (x-y+2)dx=dyor,dydx=x-y+2

Q: 7) x¹ 9-x ² dx X 3 2 2 where u-x ² dv = x √ 9-x² dx 2

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Q: Question Define Q as the region that is bounded by the graph of the function g(y) = 2√y+2, the…

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Q: What is the approximate value of 24 that is found using the tangent line to at x = 16? Round to the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose the consumption function for a particular country is c(x), where x is national disposable…

A: This question can be solved using the concept of differential equation.

Q: Show that the three functions: f₁(x) = ex-8,f₂(x) = ex, f(x) = 4(2x-2) are linearly dependent.

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Q: Differentiate the function: y = e-x cos²x x²+x+1

A: To differentiate the function.

Q: Question 10 The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x…

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Q: Explain and sketch how a function can have f ''(a) = 0 at (a, f(a)) and not be an inflection point.

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Q: 1-² dx dy dz se ³ 1 xyz 2-fff(x+y+z)dy dx dz TL 3-fff₂y sinz dx dy dz 6 -2

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: z is a function of x and y implicitly defined by Find and i at (x, y, z) = (0, 2, -1) əz Əx Əy y³…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Given: planes ¹: 2x - 5y+z=-1 and 2: x + 5y+z=5 intersecting on a line . (a) Determine the symmetric…

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Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/4 3/8…

A: Please follow the next steps.

Q: Solve for the variable using a method of your choice. 72+7+72+6 7x+6= 8

A: The detailed solution is given below Thank you

Q: Does y = (x-5)^(2/3) have a point of inflection?  Discuss.

A: The function y=x-523

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1)

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 2. Find the interval [a, b] for which the value of the integral (2 + x − x²) dx is a maximum.

A: ∫ab(2 + x -x2 )dx here for get maximum value we have to differentiate the function  so here first…

Q: Find the equations of tangent and normal lines of the curves at given points: y²-3xy - x = 0 at(2,8)

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Q: To evaluate x²cosx dx' use integration by parts. What is the expression after the second integration…

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Q: 0 %16 0 رجوع > ۸:۲۹ م 4 من 4 sin x 6. f(x) = x2 + sin x ه الكاميرا ...| - = Find-f'(x)

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Q: 3. Find a vector equation of the line that.... a) passes through (-3,5,-2) and (7,-3,1) 2+6 c) is…

A: Since you have posted a question with multiple sub-parts, as per the company guidelines we will…

Q: 1. Vector A is the same as: (Circle ALL that apply) A a. B+C b. D-B B C. D+C D d. (D-C)

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Q: Question 2. Find the limit, if it exists, or show that the limit does not exist. (a) 4xy (2,3)—(0,0)…

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Q: C)Use LHospital's rule to evaluate only two of the following limits (if exist): 5⁰-6 lim (ii) lim…

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Q: Solve the following differential equations: 2 √1-y² (a) - dx + y sin 2x -dy = 0 cos 4x+1

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Q: Find arc length for the curve (y+1)2=4x3 x=0 ,x=1

A: This question can be solved using the concept of length of arc of a given curve over a given…