Q1// Find the Area bounded by: x = -y2 and x = y - 2

Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

A: I am attaching image so that you understand each and every step.

Q: Sketch the graph the integrands and use areas to evaluate the integrals. V16 – x² dx

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Q: Three vectors are given by: J = 2î – k K = 2î – ĵ+ 2k L= 2î – 3} Determine: (i) K•L x J; and (ii)…

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Q: ield F = (A, B, C) such that A = 2zx, B = 3z + 2y, 0,0,0) = 1 and C is independent of

A: We have to find the following conditions according to the given information

Q: Let f(x) = 1, for all x E (0,1). Is f continuous on (0, 1)? Is f uniformly continuous on (0, 1)?…

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Q: 19x + 50 The average cost for a company to produce x units of a product is given by the function…

A: We have to solve above question and find the change average cost

Q: 2 4

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Q: sech j(r) = e

A: We know that derivatives of sechx is  d(sechx)/dx = -sechx.tanhx   Here i attached the solution of…

Q: 1. Find the derivative of the following: (Simplify your final answers.) f. Q(x) = Jx + Vx + :+ ...

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Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: 6. For the series E-13 * )", a. Find the first two partial sums si and s2 b. Does the series…

A: 6) ∑n=1∞314n  a.  partial sum S1=3(14)=34=0.75      partial sum S2=3(14)+3(14)2…

Q: Solve the value of t using quadratic equation (unit must seconds). Include the units while solving.…

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Q: Rewrite the series to show that it is an alternating series of the form E1(-1)"b„. Then, use the…

A: The given series,          ∑n=1∞n cosnπ2n

Q: 1 q(x) = cot-1 ( V1-πx2

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Q: Given a function f(x, y) = 3 – 9 – x² –-(y+1)². Determine the three level curves for the function…

A: We can solve as follows

Q: A 1-kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system is then…

A: Given that a 1-kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system…

Q: 3. You are designing a spherical tank to hold water for a small village.The volume of liquid it can…

A: Given information: V = Volume of tank m3V = πh23R-h3…

Q: The integral Jo So dydx represents what? O the area of a triangle the area of a rectangle the area…

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: . [ID # ending in 4 or 7] a?v if v csch y = e*². dv Determine ( + ду. ax дх ду

A: Here, the given function is: v csch y=ex2⇒v=ex2csch y⇒v=ex2sinh y

Q: 5. A reservoir is 80m long and its cross section is an isosceles trapezoid having equal sides of…

A: We need to find rate of water leaking.

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

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Q: 4. Find all real values of x such that |x-1| : Ix+11. O (00,-1| O (00,0) O 1,0) O 1,1) None of the…

A: Given query is to find the value of x.

Q: nd the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: dx 29. Evaluate + sinx + cosx c) h|1- tan | +C D) tan{1- tan +C A) tan 1+ tan +C B) h1+ tan +C

A: To Find : ∫11+sinx+cosxdx     Note : a)  1+cosx=2 cos2x2b)  sinx=2sinx2cosx2

Q: Which of the following is the Taylor series expansion of the function (x) =ex? with center at 0. 00…

A: Taylor Series representation of e-x about x=0 is given by, e-x=∑n=0∞-1nxnn!....(i)

Q: If the marginal profit is P'(x)=x^3-2x+100 and the profit for selling 10 items is $2000, determine…

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Q: determine which statement is true {(x, y)|x = y2} (A) not a function (B) function; domain: R (C)…

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Q: Question Solve the following initial value problem. f"(x) = -12x² + 18x+6, f(0) = 11, f(2) = 43…

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Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

A: Given that       y = (x+2)2+2

Q: Question 6 Use cylindrical shells to find the volume of the solid generated wher the region enclosed…

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Q: Find the derivative of the function. f(x) = ex2 + 2 %3D f'(x)

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Q: Find of the following equations: dx 4 a. y = -3x² + 7x² + ln 8x)"

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Q: A ball is thrown vertically upward from the top of the house 112 ft high with an initial velocity of…

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Q: The expression p sin ø cos 0 in spherical coordinates is equivalent to what expression in Cartesian…

A: given expression ρsinφcosθ

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

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Q: Show that whether x5 + 10x3 + x + 1 is O(x4) or not?

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Q: Vector Calculus Given, A = 2? zi – 2y32j+ x} zk. Find divA at the point (1, –1, 1).

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Q: Q1 - A coin throw three times find: 1. Sample space 2. Probability at least head appear twice…

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Q: Let f(x) = (8x2 + 6x + 11)/(7 - 7x²). The horizontal asymptote is given by y = ? Round your answer…

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Q: 3. Find of the following equations: dx a. y = –3x² + 7x² + In 8x)* b. xy = 2x?y – 8x 7 c. x = sec…

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Q: Can the following limit be calculated using L'Hopital's rule? x + cos(x) lim x→ 3 x + sin(x)+2 If…

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Q: Radioactive Carbon-14 The percentage Pof radioactive carbon- 14 remaining in a fossil after t years…

A: Note: As P and b for the first question are not given in the data provided by you. Solved the second…

Q: a²z Determine if z = tan- + r2+02° r

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: upper hall of the unit sphere x =) = 32'i+3xj-3 y'k.

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Q: Use the limit definition to compute the derivative of the function f(x) = Vx + 2 at x = 1. (Use…

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: Find an equation of the tangent line to the graph of the function at the given point. Function Point…

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