Convert each pair of polar coordinates to rectangular coordinates  1. (2,150)  2. (4, 7 pie/ 4)

Q: Convert each pair of polar coordinates to rectangular coordinates 1. (1, 60 degrees) 2. (1, 300…

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Q: 7. y=4x²-5x is known to be the relationship in a curved archway. Determine the area under this…

A: Note that, the curve y=4x2-5x and x=5 and x=1 intersect at (5,75) & (1,-1) respectively.

Q: Let P be the point in 3-space with rectangular coordinates (√2, -√2, 2√3). (a) Cylindrical…

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Q: 3. Determine the limit graphically. Confirm algebraically. x - 1 lim x-1 - 1 1² - 3t+2 lim 1-2 1² 4…

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Q: [x³√₁-x² x2

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Q: If xs2 + yt2 = 1 and x2s + y2t = xy − 4, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t, at (x, y, s, t) = (1, −3,…

A: We have to find the values of partial derivatives.

Q: Find the equation of the tangent line to the graph of the function f(x) = sin (3√√) at the point

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Q: 9. Find the family of the curve whose slope at any point is V√x + √x and also the member which…

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Q: (20-0) Given that = 5and 이히 = 3 1 6. Round your answer to one decimal place. = 3 and that (2a ›(à +…

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Q: If sec2A = Select one: a. 3 deg O b. 5 deg O c. 7 deg d. 6 deg 1 sin13A' determine the angle A in…

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Q: 9. Determine the position of the centroid of a sheet of metal formed by the curve y = 4x - x² which…

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Q: Find the area of the region in the first quadrant that is enclosed by the coordinate axes and the…

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

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Q: Find the center of the mass of a thin plate of constant density & covering the region bounded by the…

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Q: A parabola has an equation of y-32= 0. Compute for the surface area of the solid generated by…

A: Given: y=3x12 At y=0, x=0 The surface area of the surface of revolution formed by revolving the…

Q: 2 2 dx 2x (V2x + 9)

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Q: In5 x ,2 limx→+00

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Q: The cost in pesos of manufacturing x pairs of pants in ABC Tailoring is given by C(x)=1500+3x+x^2…

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Q: An open-top rectangular box is being constructed to hold a volume of 400 in ³. The base of the box…

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Q: (D-3)³(D² +9)y=0

A: The answer is given below:

Q: d. lim, In 1000 x ,5

A: Here, note that the function ln1000x grows asymptotically slower than the polynomial x5.

Q: -1 √₂² (3+2u) du -2

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Q: 3. A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when…

A: We know that volume of the balloon is V=43πr3                          (1) Given that Spherical…

Q: The time required for an elevator to lift a weight varies directly with the weight and the distance…

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Q: 5. Find the area of the region enclosed by the parabolas y = x² and y = 2x -x². 2 3 sorun oyng…

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Q: Find L(tet sin 3t) CS Scanned with CamScanner

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Q: A bolt is being loosened by a 40 cm wrench. The torque in this situation has a magnitude of 12 J and…

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Q: Find the derivative of f(w) = √3w²

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Q: 6 cos3x cos4x dx

A: To evaluate: ∫π6π2 cos⁡3xcos⁡4xdx Let I = ∫π6π2 cos⁡3xcos⁡4xdx We know that 2cosAcosB =…

Q: x==2t X 1 1-y = Given: line ₁ = -8 and ₂ = = y = 2+2t. 3 2 z = 6 + 2t 1. If the given lines…

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Q: 5-x Find the family of the curve whose slope at any point is y-3 passes through the point (2.1) and…

A: Topic:- calculus

Q: Sketch the region of integration of the given integral Q in No. 1. Set up Q by reversing its order…

A: We need to set up integral.

Q: The points R(-1, 1, -3), S(3, -3, 6), T(0, 0, 10), and U(2, 4, 7) are the vertices of parallelogram…

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Q: 3. f(x)= x² + 3

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Q: If f(x)=√x² - 1, then 0 is one of the critical numbers of f. Select one: True False

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Q: Exercise (1-3): By Charpit method solve the following PDE (1): p²x+q²y=z

A: This is a problem related to partial differential method. Based on the general formula and concept…

Q: -lving ³4xdx gives 4x b. 4x² c. 2x 1²³ C. 31 d. 2x² 1³

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Q: Evaluate the equation f Select one: a. 0.5 b. -1 Oc. 2 Qd. 1 dzdy

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Q: ل 13 y=√x 0 Figure A 10. Consider the region in Figure A. Its area may be found using [f(x) =…

A: First, finding the intersection of two curves.

Q: Find all the second-order partial derivatives of the following function. f(x,y) = x³y²-x² + y² 2 ax…

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Q: Compute the average rate of change of f(x) = x2 − 2x on the interval [1, 3]. Find c ∈ (1, 3) which…

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Q: please include let u du substitutions

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Q: () 2 1- (x+6) (x+2) 2

A: The given integral is:…

Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h as…

A: Given query is to find the domain and range of the function.

Q: 1. F(s) = 4s+2 s²+6s+34

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Q: Using vectors, find the area of the triangle with vertices P(5, -1, -3), Q(7, 2, -4), and R(6, 1,…

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Q: f cot x dx Select one: a. In sina+c + c + c + c O b. In sec x oc. In csc r od. In cos x

A: cotx = cosx/sinx

Q: Find the area of the region bounded by the curve y=x^2-3x the x-axis and the lines x = 1 and x = 2.

A: This question is based on application of integration.

Q: A cubic block of ice whose side is 2 inches long is melting at a rate of 1 in^3 per minute. How fast…

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