0 Use an appropriate form of the chain rule to find dw/dt w = 5x²y°z*; x =², y = t², z = t°

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Q: By inspection, find the following integral 1 dx 2(5 – 3x)

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Q: e Σ k=1 3.

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Q: dx For the integral , which of the following options is correct? A. lim (x – 1)½|" + lim (x – 1) | B...

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Q: No

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Q: 37. h(t) = 14 -214 39. F(x) = x" (x - 4)²

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Q: Which among the following is an improper integral? 1 A x[In?(3x) – 4] Inx x[In*x- 1] ` .0.5 1 dx -0....

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Q: In Exercises 39-42, the velocity v(t) of a particle moving in the plane is given, along with the pos...

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Q: Use sigma notation to write the Maclaurin series for the function. 2sin Tx 5 2(- 1)k+172k+1 2k+1 (2k...

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Q: 3-1 4. The value of the indeterminate form from lim is 1 4r2 - I- 3 (a) 0 (b) 00 (c) 1 (d)

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Q: -5 dx Evaluate 2х — 10 (а) — оо (c) 1/2 (d) 0 00

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Q: Find the interval of convergence of the power series. (Be sure to Include a check for convergence at...

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Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: 3. The integral of an t dx is b In|sec(In(2x)ª)|. What is b? A. 1/2 В. 1/4 с. 2 D. 4

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Q: Find the directional derivative OF the Function in the divection U = Cos e it Sin e i OF the unit ve...

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Q: Give a power series Cnx" such that it is convergent if |x| 1 of x = -1.

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Q: 1 x + 3

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Q: If inflation grows continuously at a rate of 6% per year, how long will it take for $8 to lose half ...

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Q: 5. The volume of the solid formed by revolving the region bounded by the curve y = Vcosz, I-ax: from...

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Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

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Q: 2 cot- (esc") if -3 3. a. Determine if f is continuous or discontinuous at x = 0 and at x = 3. If di...

A: For the solution of the problem follow the next steps.

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A: (4x2+y2)dxdy = -xy ....(1)f(x,y) dxdy =ϕ(x,y)The given differential equation is ahomogenous equation...

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)5 f(x) = 8.

A: The given function,        f(x)=11+x5

Q: Evaluate the integral dx 2xx - 3x? A -In 4 V2x + V3 +C 1 V3+ 2x B In +C 2/3 V3-2 +C In 2/3 "/7x + /3...

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Q: 1+ In x 6. Find f (x) so that when u =f(x) the integral dx can be tan(f(x)) rewritten as cot u du . ...

A: This can be evaluated as follows:

Q: Instructions: Use Rules of Differentiation to differentiate the following functions. Show your solut...

A: derivative

Q: Use sigma notation to write the Maclaurin’s series for the function  f(x)=xcosx. Show complete solut...

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Q: 5. y = - 5 log , (11x - 4) 6. y = 2 log e 4x°3 7. y = 12x² log 8x 8. y = In 25x 5x3

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Q: One of the following is an improper integral. \. xV16 – In x ~In 3 dx dx In 2 V4 – ex xV16 – In x -I...

A: We have to find the value of improper integral.

Q: At 9 AM, ship B is 65 miles due east of another ship A. Ship B is then sailing due west at | 10 mi/h...

A: Given

Q: The Pauli Exclusion Principle tells us that no two electrons in an atom can have the same four quant...

A: Please see the below picture for solution. 

Q: The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and...

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Q: In3 in2 4-ex xp- xV16-Inx 1 x Vinx In2 iv. Ino.5 e2x +1 1 O 2/22 O8-2/15 O 3 2 OIn 2

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Q: ON 3 sec3(In x) + sec2(In x) tan(In x) 2х n x) tan(In x) n x) dx c³(In x) + sec²(In x)

A: We have to choose the correct option according to the given information

Q: HON 3 tan(e-*) dx Given: ex Find: du O e-*dx O -e-Xdx exdx O - e*dx

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Q: Find the producers' surplus it the supply function for pork belies is given by the following S() -q/...

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Q: Consider the improper integral I = dz. 4x +1 (a) Find the value of the constant C for which the inte...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A: Using Bernoulli equation. Follow step 2nd . 

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: -In 3 e* In 2 V4 - e*

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the s...

Q: 2. If we visualize the region having "right" and "left" boundaries, express each as functions of y a...

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Q: Find the Taylor polynomials of orders n = 0.1,2, 3. and 4 about 2 = x, and then find the nth Taylor ...

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Q: Suppose that f(x, y) = 5x + 2y on the domain = {(x, y) | 1 < æ < 2, a² < y < 4}. D D Then the double...

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Q: du Form Answer Ssinx Ex. S 3+2cosx -2sinxdx 5(ou -5v3+2cosx + C 3+2cosx 15. Given: dx 3 2sdr a) b) 2...

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Q: (b) Let u = u(x, y) and f and g be twice differentiable functions. Then, a general solution to the e...

A: The objective is to find the general solution u(x, y) .

Q: Evaluate the integral V5+ 12x2 – 4xª xdx 2x2 – 3 (2x? - 3)/5+ 12x² – 4xª + 14Arcsin V14 +C {(2x2 - 3...

A: We will use substitution method to solve it.

Q: Suppose that over a certain region of space the electrical potential V is given by the following equ...

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Q: Find F. dr, where F = 3yi – 8x3+ (8y – 8x)k and C is a - circle of radius 8 in the plane x + y + z =...

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Q: Solve the differential equation with appropriate method. Final answer should be free of logarithms a...

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Q: Exact Equations (w³ + wz² – z) dw + (z³ + w²z – w) dz = 0 O (w² + z?)² = 4wz + c O (w? + 2?) = (4wz ...

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