ƒ'(x) = = f(x) = + S Find a formula for the function f(x) such that cos(x) and f(5) = 2. X t = t= ||

Q: 4 S- dx 2 2 x√4x² - 16

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Q: A particle moves in a straight line with velocity 10 - 4t ft/s. Find the total displacement and…

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Q: *P₁² (1+h) = Rph (1+₁2) (1)

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Q: Evaluate the indefinite integral: ƒ _(lnx)² dæ X In x88 +C

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Q: (x(t) = 6+t Find a plane through the point (2,7,-5) and orthogonal to the line y(t) = -4+7t…

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Q: Convert the Cartesian coordinate (2,-5) to polar coordinates, 0≤θ0 r= Enter exact value Theta=

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Q: dt +5i = 7 o=(0)h(

A: The given differential equation is: didt+5i=7 ;              y(0)=0

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [8y³ dx…

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Q: 53. Determine if the series is absolutely convergent, conditionally convergent, or divergent. (-1)k…

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Q: M Find the distance from the point (-2,6,4) to the line ä(t) = (-1,3, 5)t + (-9, -3,-2). 8266 √35 20…

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Q: π Determine the slope of the tangent line, then find the equation of the tangent line at t = 6 x = 2…

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Q: π/4 2 COS X Se е 0 sin x cos x dx

A: ∫0π4ecos2xsinxcosxdx

Q: Given v= 101+] and wal+10j, find the following. a) v- b) v-v a) v-w- b) v-v=

A: v=10i+j ,w=i+10j

Q: heta is not -tan^-1(5/2)

A: When finding the angle, finding it in the desired interval is essential.

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 8 - 2x²…

A: NOTE: Refresh your page if you can't see any equations. . the given curve is  and the given…

Q: of each rational expression. 1 x (x² + 1) x² (x − 1)²(x + 1) x² 19. 23. 27. (x − 1)²(x + 1)² - +4

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Q: ind the ardength of the curve I || Submit Question 1 3 Question Help: Message instructor t³, y || t²…

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Q: Find the integral of 12 sin x cos 5x dx if lower limit= 0 and upper limit = π/2. A. 0.2 B. 0.3 C.…

A: As per guidelines, Only one question can be answered out of multiple different questions. Please…

Q: Find the side labeled x. (Round your answer to one decimal place.) X = 48° 8 12 X

A: according to cosine law→⇒ c2=a2+b2-2abcos(C)

Q: Consider the polar curve r = 20 + cos(8) for 0 ≤ ≤ 2π. (a) Find the area in the second quadrant…

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Q: Use derivative to determine whether the sequence {7-3/)} is monotonic increasing, monotonic…

A: an=7-4n

Q: Please help with # 14 thanks

A: To solve the following

Q: PROBLEM NUMBER 1 Evaluate √²-7√³+17 2¹ dr. 10

A: let,   P=∫(x7-7x56+17x103)dxwe know that,  ba=(b)1a

Q: how do you solve part b using the root test?

A: b) Given series is

Q: 5. Evaluate [[ (x² + y²)³dzdy where is the region enclosed by the cardioid r = 1 + cos(0)

A: given,  ∬(x2+y2)2dxdy  =∫02π∫01+cosθ(r2)2.rdrdθ=∫02π∫01+cosθr5.drdθ =∫02πr6601+cosθdθ…

Q: A particle moves in a straight line with velocity t-2-25 ft/s. Find the total displacement and total…

A: v(t)=(1/t^2)-1/25

Q: Let a= (3, -10,7) and b = (9, -2, 10). Compute the projection of a onto band the vector component of…

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Q: Lim (ره) (x) Sin (x² + y²) x4yo

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Q: xe x145)dx (√3x + 1 + xe d) Į sec² x tan² x dx

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Q: PROBLEM NUMBER 7 af² ª ³+1 Using n 6 approximate the value of - de using (a) the Midpoint Rule, (b)…

A: Evaluate the integral ∫171x3+1dx a) Midpoint rule b) Trapezoid rule  c) Simpson's rule

Q: ammation Calculate the amount of work required to lift a bucket of cement with mass of 50 kg from…

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Q: 5. Write the first 4 terms of the sequence defined recursively. d₁d-1-1 d₁ = 30 =

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Q: state the domain for the function below. 2x - 6 x² + 2x + 8 f (x) = o all real numbers except o and…

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Q: 64x+530 The average cost function for a particular business that sells toys is represented by A(x) =…

A: The average cost is, Ax=64x+530x where A is represented in dollars and x in the number of toys…

Q: Approximate the change in the volume of a sphere when its radius changes from r = 40 ft to r= 40.1…

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Q: An inverted cone (base above the vertex) is 5 m high and has a base radius of m. If the tank is…

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Q: P Graph the equations and shade the area of the region between the curves. Determine its area by…

A: To graph the equations and to shade the area of the region between the curves. To determine its area…

Q: 2. dx y²-y-dy=0

A: To solve the following differential equation. x+1x2+2x-7dx-y-2y2-4y-5dy=0

Q: Match each graph with its equation > > -4-3 -2 -7 3 -4-3-2-2 च ষ -4-3-2 -3 2 M -2 -4-3-2-1 4- 3 2 83…

A: Given :- (a) r=1+2sin(θ) Graph of this equation is:-

Q: Evaluate the iterated integral. 9 JJJ Sze-x8 dy dx dz 20

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Q: Consider F and C below. F(x, y) = 1 + x² i + 2y arctan(x) j C: r(t) t² i + 7tj, = 0 ≤ t ≤ 1 (a) Find…

A: For solving given problem

Q: Compute the following integral [x x5√x³ + 1dx

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region underneath…

A: SOLUTION:-   We need to use the Shell Method to compute the volume of the solid obtained by rotating…

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: y= √(64-x2)  We have to evaluate volume of solid formed by revolving the region about y axis

Q: Use Descartes' Rule of Signs to determine the number of positive real zeros of the following…

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Q: Compute f (xy² + x) dx + (3x + y²) dy where OR is the boundary of the region R ƏR which bounded by y…

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Q: Question 1 Consider the function f: R→R, given by -((m + 1) -mx) (x+1), C (a) Find the y intercept…

A: SOLUTION:-   Given,   f(x)=1ex((m+1)-mx)(x+1)   and the value of m is taken as 3.

Q: Find the area of the region bounded by: r = 5 cos(20) 0 ≤ 0 ≤ 2π

A: Given;

Q: Find the area of the region that lies inside the first curve and outside the second. r=…

A: The given curves are: r=7-7 sinθ      and       r=7

Q: A particle moves in a straight line with velocity t-2-5 ft/s. Find the total displacement and total…

A: v(t)=(1/t^2)-1/25