Find dy/dx and d²y/dx². dy dx d²y dx² = X = cos(2t), y = cos(t), 0 < t < π For which values of t is the curve concave upward? (Enter your answer using interval notation.)

Q: Given the following vectors, calculate -5u+2v u=(7,3), V=(5,-3)

A: Given query is to perform indicated vector operation.

Q: dy 6xy = 5xex³², y(0) = 4 dx - Show Transcribed Text

A: Let's solve given differential equation.

Q: 1. S x²+x+3 (x-2)(x+1) dx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: If q(x) = 3x², 7ex find lim q(x). X→ +∞

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Q: 1. C-1, 125 + 3 (s+5)2)

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Q: If yo is the solution of the equations xy' + 3y = 2x, y(1) = 8, determine the value of yo(2).

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Q: Calculate the derivative of: ƒ'(x) = → f(x) = - cos-¹(15x) sin ¹(15x)

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Q: Evaluate. [(5x³) dr = | antidifferentiation) +C (You do not need to enter a constant of

A: evaluate    ∫(5x3)dx   formula ∫(xn)dx=xn+1n+1+C

Q: Solve the following system of equations using Cramer's Rule if it is applicable. If Cramer's Rule is…

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Q: Use differentials and the graph off to approximate the following. (Round your answers to two decimal…

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Q: 39. If 2x − 1 ≤ f(x) ≤ x² for 0 < x < 3, find limx→1 f(x).

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Q: Find the velocity and acceleration vectors in terms of u, and up. r = sin 2t and 0 = 4t v = (2 cos…

A: Given that , r=sin2t , θ=4t find the velocity and acceleration in terms of ur and uθ.

Q: MY NOTES The guy wire supporting a 100-foot tower has a tension of 530 pounds. Using the distances…

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Q: Find f(₂ + 2)(x - 7)dx + C

A: The given integral is: I=∫x+2x-7dx   As we know that, The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power…

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

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Q: Given that the first term of a geometric sequence is a1 the explicit formula for the nth term an: an…

A: Given that the first term of a geometric sequence is a1=6 and the commonratio is r=-5, to determine…

Q: 16) Find the amount of a continuous money flow in which $900 per year is being invested at 7%,…

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Q: Find the inverse of the function. y = 5x +7 A) y= log5 (x-7) B) y= log6-2x C) y= log22x D) y =…

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Q: If ['r f(x) dx = 8 and 1³(x) ind [^r(x) dx. f(x) dx = 5.8, find

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Q: Evaluate the integral. √√2 √√2 히 du du (Simplify your answer.)

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Q: 4. Given u = (-2, 5) and v= (6,-8), find a. u + v b. 2v- u C. U. V d. ||v||

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Q: You invest $49,010 in an account earning 5.26% APR, compounded daily. How much total interest is…

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Q: Find the interest on the following loan. $6000 at 4% for 9 months The simple interest is $ (Round to…

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Q: Let F(x, y, z) = 0 define implicitly the function z = f(x, y). Suppose that all əz the first order…

A: Given equation is Fx,y,z=0 and z=fx,y

Q: Which of the following expresses 1+3+9+27 +81 + 243 in sigma notation? 6 (a) Σ_3k-1 k = 1 Select all…

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Q: 2. Logistic Model (a) Find the general solution to each of the given differential equations. (You…

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: E{sinh-t}

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Q: Find fx, fy, and fx. 23) f(x, y, A) = x2y + y² + x^²

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Q: 5. Given f(x) = ex In(x), find the linearization at x = 1 and then use it to approximate f(1.02).…

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Q: B. Evaluate the following Laplace transforms by using the formulas listed in the table of Laplace…

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Q: Using Reduction of Order: (D² - 1)y = 2e²x

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Q: Find the solution of the following differential equations. (4D3-4D2+D-1)y=0

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Q: Find the particular solution. dy dx - 3y = 12, y = 6 when x 0

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Q: Let f(x, y) = x¹ y ¹ (x² + y²)³° Show that lim f(x,y) does not exist. (x,y) →(0,0)

A: Let f(x,y)=x4y4(x2+y4)3  We  have  to show that lim(x,y)→(0,0)f(x,y) is does not exist

Q: Use Green's Theorem to evaluate the following line integral. ffdy-go y-g dx, where (f.g) = (6x²,3y²)…

A: Let's solve given integration.

Q: Evaluate the definite integral. 1 [₁v₁ /1 + 7x dx

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Q: 5x50 3 £ =ㅅ

A: The given curve is  y=x33,  0≤x≤3

Q: Differential Calculus Direction: Differentiate the following trigonometric functions: Part I. 1) y =…

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Q: The differential equation e dy dx = y- tan(x) is linear.

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the first-order…

Q: 9. Use Law of Sines to solve AABC with B = 17°, a = 3, and b = 1. Round the measures of the unknown…

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Q: If $4,000 invested in a bank account for 5 years, compounded quarterly, amounts to $4,871.10, what…

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Q: 5. On what interval is the curve concave downward? Y t² t² +t+2 = √₁²% S -dt

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Q: hp(h)u[ h^S

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Q: Calculate to sum of the first 99 terms of the following series:  8+24+72+216

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Q: Find the total differential. dw = w = eбy cos(4x) + z10

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Q: Solve. log6(5x-5)=4 Select the correct choice below and, if necessary, fill in the answer box to…

A: log65x-5=4

Q: Evaluate the integral. [³ 0 6ex + 2cos(x) dx

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