3. The particular solution of the differential equation dy for which y(0) = 20 is dt 4 O y = 20e-0.25t O y = 19 + e0.25t O y = 20 e 0.25t O y = 20e4t

Q: The general term of the sequence is 2 -1 2 -1 2. - 1층글룸금.... 25 3 an = (-1)"+¹ ²1, n ≥ 1 (−1)²+12 n

A: Given :an=-1n+12n

Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 3) is twice…

A: Given :The distance between point on sphere P to A is twice the distance from P to BA-2, 5, 3 and…

Q: - Evaluate sin x dx using 3 i. Trapezoidal rule ii. Simpson's rule iii. Simpson's rule, taking n = 6

A: We have to evaluate ∫0π2sin x dx. Here a=0 and b=π2=1.570796 Given n=6 ∴ h = b-an = 1.570796-06 =…

Q: SW n=1 3n+2 2n+3 h

A: Given :∑n=1∞3n+22n+3n

Q: docs.google.com This option Question * The domain of the function f(x,y)-- x+7-1 D={(x,y) ER² / x² +…

A:

Q: Find the cross product a x b. a ++kb-i+2j - 3k 10 Verify that it is orthogonal to both a and b. (a x…

A: Consider the vectors  a=12i+13j+110k,    b=i+2j-3k

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Q: Convert the point (x,y,z)=(5,-3,-5) to spherical coordinates. Give answers as positive values,…

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Q: Write the equation for the plane. The plane through the point P(-2,-5,3) and normal to n = (2,7,8 O…

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: Concept: The Trapezoidal Rule: The Trapezoidal Rule divides the whole area into smaller trapezoids…

Q: In a triangle ABC, points E and F are on the sides AC and BC respectively, such that AE is 1/3 of AC…

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Q: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

A: We need to find R6, L6 and M3

Q: Compute the gradient vector fields of the following functions: A. f(x, y) = 1x² +10y² Vf(x,y) =i+j…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Use the Ratio Test to determine whether Identify an Σ n = 1 (2n)! 2n Evaluate the following limit.…

A: Solve the following

Q: 16. Use properties of logarithms to expand log (²₁¹). t14

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Q: y" + 3y' + 2y = U₂(t); y(0) = 0, y'(0) = 1

A:

Q: Find the general solution of the differential equation y"-y-6y 16e²t. NOTE: Use c₁ and ca for the…

A: Given  y"-y'-6y=16e2t

Q: Find all local maximum and minimum values and saddle point(s) of the function. f(x,y) =…

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Q: Q5. Evaluate the triple integral ²³ cos (y²) dz dx dy.

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Q: Let a-2-3j.kb-41-) and c-1-31-2k. If d is such that da-9. db-7 and dc-6, then d is equal to 01-31-2…

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Q: Revenue The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research…

A: Given ,  The Better Baby Buggy Co. has just come out with a new model, the Turbo The market research…

Q: After his receiving his first income, Juan dela Cruz invested P20,000 in a bank for his future…

A: Juan Dela Cruz invested P20,000 in a bank for his future family. The annual interest rate in his…

Q: Question The range of the function f(x,y)=-2+e√²-x²-ylis: [3:2+e] O This option None of these O This…

A: We have to find the range of the function.

Q: ∞ Σ k=1 23k e-0.38k2 accurate to 10−5

A: We will find.

Q: Find all values of c such that fis continuous on (--,-). f(x) = {7-2², c=2.193 c= 3.193 7-2²³, xse…

A: The given function,    fx=7-x2,x≤cx,x>c

Q: Use a Taylor series to approximate the following definite integral. Retain as many terms as needed…

A: Let's solve integral to taylor series expansion.

Q: 3. I want to save $5,000 for a down payment on a car. To the nearest dollar, how much will I need to…

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Q: Calculate L6 for f(x) = x² + 5|x| over [-1,6]. (Use decimal notation. Give your answer to three…

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Q: question, show all steps so I can understand the problem Use the following property of the definite…

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Q: b. (1) (x) c. (fog)(x) d. (gof)(x)

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Q: Find the interval of convergence of the power series 0-1<x<1 0-kisl 0-15 51 0-15 <1

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Q: If F = (x² − y² + 2xz)i + (xz − xy + yz)j + (z² + x²)k, find the divergence of - curl F and curl of…

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Q: Find the limit: ху lim (x,y)→(1,1) x² + y²

A: Apply the limits

Q: Evaluate the function at the given values of the independent variable. Simplify the results. f(x) =…

A: The given function, fx=6x-1

Q: -3 Evaluate the triple integral ²³ sin(y²) dz dx dy.

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Q: d² -sin (2x³) = = dx²

A: d2dx2sin2x5=ddxcos2x5· 10x4=10-10x8sin2x5+4x3cos2x5

Q: Given the same three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1). Find a vector equation,…

A: Solve the following

Q: What is the integral that represents the length of the curve from x 2 to x = 4. Select one: 4 O…

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Q: lim X118 3x³-2x x²+2x+8

A: We can find the limit as below.

Q: Find all values of c such that fis continuous on (-∞,). C= 7-2², a se - ذکر (smaller value) (larger…

A: Given query is to find the value of c so the function is continuous for the provided interval.

Q: S x²-x +2 -X X³ + 4x -dx

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Q: Its saying the solution is wrong

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Q: Determine the following indefinite integral. dx X√ 625 + x 2 dx S- x√√625+x² (Type an exact answer.)…

A: We have to determine the indefinite integral ∫dxx625+x2.

Q: 10 -8 1 I 1 1 1 1 -6 T 1 I T 1 1 1 I 1 1 i 1 i 1 1 1 i 1 1 1 N 1 1 i +14+kw 12 10 8- 6- 2 -2 -4- -6-…

A: Given

Q: 7. Given f(x)=√x² + 3, determine p(x), q(x), and r(x) such that f(x) = p(q(r(x))). ✓✓

A: We need to find p(x),q(x),r(x)

Q: Suppose an object is moving along a verticals line. It’s vertical position is L(t)= -t^2 -4t+12.…

A: