a) How many 3-digit positive integers are there with odd digits?

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A: Given: 2x+5y=-7; x-38=y2=z-714 Let, x-38=y2=z-714=t ⇒x=8t+3; y=2t; z=14t+7

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A: Let the function f(x)  is a continuous, positive and decreasing function on the interval  [ k,∞)…

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Q: State whether the following numbers are rational or irrational. a) V4+7/2 b) V36 c) V112510716

A: Given: a)4+72b)236c)112510716

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Q: (2) use tue limit Couperisen Tert to defermine tue canleryencl or divergence of tud series Ź 3 sin…

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Q: On what interval(s) is f(x) concave down? f(x) In(x? + 3) %3D (-0,00) O(-∞,-V3), (V3,00) (-V3, V3)

A: Let's find.

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Q: 1 2 dx dy = 2 Select one: O True O False

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Q: Find k if the shortest distance from (-2,5) to the circle x2+y2+kx+4y=12 is 3.6 units. a) 5 b) 6…

A: Find K.

Q: Check the continuity of the function at x : = 0 and x = 1

A: Given,           The piecewise function is given below :            fx=-2; -4≤x≤-1x-1; -1≤x≤0x2;…

Q: 4. Use the definition of derivative to compute the derivative of the following functions at x 1: a.…

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Q: The equation x10 – 10x2 +5 = 0 has a root in (0, 1) Select one: True False

A: We want to check true or false.

Q: C. Trigonometric Substitution. 9-у 1. dx 2. e2x+1 r2+VZ 3. (2+vz х. 4х — х2

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Q: 1. Apply Maclaurin's series to establish the power series of tanx.

A: Answer is in below step.

Q: (x³ +2x)" Find dy/dx, given the following: y = V2x-4 (2³ +2x)“ V(2r–4) 17 -36a²+10x-24 %3D (2x–4)²…

A: Quotient Rule of differentiation :  ddx (uv) = v.dudx-u.dvdxv2. dxndx=n.xn-1

Q: 7x+2x? (x-4)(2x+3)(2x+1)

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Q: dx dy 2 Select one: True False

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Q: The radius r of a circle is increasing at a rate of 9 centimeters per minute. Find the rate of…

A: Use differentiation for find the rate of change of area of circle.

Q: Exercise To Try 7 Let f(x) = V. Estimate the area A under the graph y = Va between a = 1 and b= 4…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: Find the particular solution of the differential equation as determined by the initial condition. dB…

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: simplify

A: We have to simplify  of the given expression

Q: dx 2. e2x+1

A: ∫dxe2x+1let ex=tan ydifferentiate O.B.Sexdx =sec2y dy∫1tan2y+1×(sec2y dytany)

Q: Question 1 Consider the following IVP: x" - 4x' + 4x 4e2, x(0) = -1, x'(0) = -4 Find the general…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 2. S(r2 +r + 1)e"dr 3. Find the area of the region in th

A: Given problem:- ∫ (r2+r+1)er dr

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Q: 10 cm 10 cm 10cm

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Q: 7. Approximate (22 + 3) dz using four rectangles and the left endpoint method.

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Q: Given the graph of y=f(x) below, at which of the marked x-values can the following statements be…

A: To answer the given questions using the given graph.

Q: Part 3. Provide solution in finding the derivatives of the given function 1. y= 4x5-2x + 3x- 10 2. y…

A: Let's find.

Q: 18g(x) - f(x)]dx =] %3D 2 (Simplify your answer.)

A: This question is based on substitution of given integral.

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A: Let's find.

Q: f(x, y) = R is the rectangle bounded by +1 -5<x<5 and 0<y<1.

A: Given function fx,y=1ex2+1Region R is bounded by -5≤x≤5 and 0≤y≤1.Surface area of over region R is…

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A: see below the answer and explanation

Q: Solve the inequality 36x –x<0 and write the solution set in interval notation.

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Q: 164 24 7. 8. 88

A: Given

Q: QUESTION 12 Solve the problem. Suppose you wish to prove the statement that follows using…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Please solve and show full work

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Q: Select the correct graph for the following rational function. 11 f(x) = X-8

A: Given,  f(x)= 11/(x-8)

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) =

A: Topic = Functions