A. ſºf(x)dx = B. If the vertical red shaded area in the graph has area A, estimate: ſ'ƒ(x)dx = (Your estimate may be written in terms of A.)

Q: Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5)…

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Q: Find dy/dx, given that xy^3 -3y^2 +xy=1-3x

A: We have given a function y in term of x, and finding the derivative of that

Q: 29 + i√/1159 6

A: We can convert the given complex number in fractional form to decimal form by calculating the square…

Q: Let à = (4, 1,-5) and b = (2, -5,5). Find the angle between the vector (in radians) 1.09 X

A: Let's find angle between two given vector.

Q: What prevents the transformation (x,y)=(3x, -3y) from being called a dilation? Explain your awnser.

A: Given (x,y)=(3x,-3y) Dilation is a transformation, which is used to resize the object.

Q: A 2 In Ix-11+C B 2 In 1x-11-2+C S dx 2x (x-1)² C¹In Ix-11+C с D 2 In 1x-11+2+C

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Q: Evaluate the expression under the given conditions. sin(20); sin(0) ==, in Quadrant II 0

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Q: Find the dot product of the following vectors u and 7.

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Q: Consider the following graph on the interval - 360° < x < 45°: 360 -330-300 270-240 -210 -180 -150…

A: We have given a graph of function. And find to amplitude, period and function

Q: 4- If w=e³x+4y cos 5z then Wxx + Wyy+Wzz 5- The general solution of y"+4y+3y=0 6- The series=(1+)…

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Q: The ordering and transportation cost C for components used in a manufacturing process is…

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Q: Solve the initial-value problem. dy = dx 4 √x for x ≥ 1 with y(1) = 3 The solution to the…

A: You must have idea how to find solution for differential equations.

Q: 3. Obtain the DE of the family of circles with center at (2,-3). Draw at least 4 representative…

A: Given question:- 3. Obtain the DE of the family of circles with centre (2,-3). Draw at least 4…

Q: A boat is heading towards a lighthouse who's beacon light is 148 feet above the water. The boat's…

A: Topic = Trigonometry

Q: Solve DU 11 dx 4x+3 x³ +2x² + x

A: ∫4x+3x3+2x2+xdx=∫3x-3x+1+1x+12dx=∫3xdx-∫3x+1dx+∫1x+12dx=3lnx-3lnx+1-1x+1Add a constant to the…

Q: S cos 2x dx COSX

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Q: (13) Find the equations of the tangent line and normal line to the given curve at the specific…

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Q: (a) [1 Show that the following equation represents a sphere, and find its center and radius. x² + y²…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: B: e²+² dydx Jo Jo

A: To solve the integral ∫0∞ ∫0∞ ex2+y2dydx

Q: If S then f(x)dx= 10 and is equal to Select one: O 10 05 015 O-5 [². [se none of the others f(x)dx…

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Q: Use Green's Theorem to evaluate the line integral of F= over C which is the boundary of the…

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Q: Problem 2. Find the area between these curves: (a) f(x) = 5x-2 and g(x) = 4x + 1 on the interval…

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Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

A: We can find the area of the bounded by the given curves.

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Help 18 cubic function whose graph has horizontal tangents at (-2,6) and (2₁0). {Y= ax ³ + bx²²…

A: Let's solve.

Q: Problem 7 Proof that if lim f(x) exists then it must be unique i.e., x→a if lim f(x) = L and lim…

A: In this question, we want to prove that if a limit of a function exist then it must be unique.

Q: Solve the initial-value problem. dW dt e-4t, for t20 with W(0) = 6 The solution to the initial value…

A: The initial value problem,dWdt=e-4t, for t≥0 with W0=6

Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and 6=. (a) Find the unit vector u…

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Q: Verify if the indicated equation is an explicit or implicit solution of the given DE 1. y=csc(x+c):…

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Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: To find the derivative.

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

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Q: he transformation from Cartesian to plane coordinates in x-direction is given by x=rsine x=rcos20…

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: 100 100 suppose that Σ a; = -17 and Σ b; = 13. compute the sum. i=1 i=1 100 Σ ( – 30a; – 76;) i=1

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Q: Let C be the curve y = 12 11 10 9 8 7 16 16 5 A m Cy 1.5 x³ 1 + for 0.6 3.7. 3x 4 2,5 3 Find the arc…

A: We are given a curve C : y= x3/4 + 1/(3x)  for 0.6≤x≤3.7. We have to find arc length of C.…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 3T 2 sin(2x) sin(x) = = cos(2x) =…

A: We have to solve above question and find sin cos and tan value

Q: If 1 1. f(x)dx = n(x) - tan(x) - 4² + x² + 6x + 0 4e C 3 then find f(x)

A: We can find f(x) as below, by finding the derivative.

Q: True or False: We have Select one: O True O False 2 2 2 [ ² x³²dx < [ ²³ x³²dx 1

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Q: 클 ~D f(x) = x² e² е (12) Find f '(x). f'(x) = x²²²e² + e² 2x² f" (x) = X

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Q: Convert the rectangular coordinates to polar form (√8,√8) (solve) (4,5) Option 3 O Option 4 O…

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Q: 5. (8 pts) An isosceles right triangle is as shown in the figure. The leg is increasing at a rate of…

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Q: Q2: Fill in the blanks : 1- ff f(x,y)dydx represents the. 2- y" +(3y')5 - sinx = 4 of order 3-ye…

A: Since multiple questions are asked I am answering first 3 subparts

Q: f'(x) = x²¹ - 2x² x¹2x² 2x−² + 1; f(1) = 5

A: Given that f'(x)=x-1-2x-2+1 -(i)Also given that f(1)=5.Our Aim is to calculate the antiderivative of…

Q: Suppose the derivative of a function f is f '(x) = (x + 1)2(x − 2)7(x − 3)4. On what interval is f…

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Q: If 4x² - y² = 64, show that ds² = 1/2 (15x² (5x² - 16) dx².

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Q: Solve 2 sin² (t) + sin(t) - 1 = 0 for all solutions 0 < t < 2π t = Give your answers as a list…

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Q: The vectors u = (5, -4,0) and v = (-4,-5, 4) are orthogonal. Select one: O True O False

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Q: The derivative of a^u with respect to x is a ln a du/dx (a^u) * du/dx ln a * du/dx (a^u) * ln a *…

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Q: Σ (²-2) for j=1 to 50. The summation equals

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