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Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π2. Give your answer round...

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Q: uppose that the price p, in dollars, and the number of sales, x, of a certain item are related by 4p...

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Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) = x(2x...

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Q: の dy Sーメ+ リーX +5

A: This is a problem related to differential equation. Based on the general formula we will solve the q...

Q: 1 (8n – 1)? n=1 a) Enter an integral whose convergence or divergence is equivalent to that of the gi...

A: Given that∑n=1∞18n-12a. Integral test for convergence or divergence fx=18x-12a=1,b→∞∑n=1∞18n-12≈∫1∞1...

Q: 5. lim In(1+x)-In(1+ x)] 6. lim In(2+x)-In(1+x)]

A: limx→∞ ln1+x2-ln1+x

Q: Find dy/dæ in terms of t if x = te', y = -2t – 2e dy/dx = %3D

A: topic =derivative

Q: x2 dx 3 (9- х2)2

A: sin(x)=1-cos2(x) tan2(x)=sec2(x)-1 ddxsin(x)=cos(x)  

Q: ERCISE # 3 Ferentiation. 11. 2xy - 3y3x + x²y² – 2 = 0 SIA ITY ON

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Q: 2. For g(x) = cos³ (2x - 1), find g' (#). %3D –

A: topic - derivative of a function

Q: Find a function f(x, y, z) such that Vf is the constant vector (4, 8, 2). (Use symbolic notation and...

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Q: Evaluate the integral. 3* dx 3* +4 Solution:

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Q: Consider the line parametrized by r(t) = (3, –1,5) + t(8, 12, –6). Identify the parametrizations equ...

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Q: y" +y = 1.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: y(x) =x' (2x – r²)

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Q: 6. lim In(2+x)-In(1+x) 5. lim In(1+x*)-In(1+x)]

A: Topic = Limits

Q: Apply the limit laws and evaluate. If your answer is "DOES NOT EXIST" please type DNE. (2 points eac...

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Q: 72 and A is in quadrant 3. 65 Find tan(2A), if tan(A)

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Q: Determine the particular solution. v(9x – 2v)dx – x(6x – v)dy = 0; x = 1, v = 1 O 3x° - x²y - 2y² = ...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact answe...

A: Solution of question is written in below steps.

Q: Let f(x, y) = xe*-y and P = (11, 121). Calculate || V fp||. (Express numbers in exact form. Use symb...

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Q: Use the power reducing formulas to rewrite sin*(2x) without exponents. sin (2x)

A: Given sin⁴(2x)

Q: values

A: We will find the value of x between 0<x<10.

Q: Use the Chain Rule to evaluate the partial derivative at the point (q, r) = (2, 3), where h(u, v) = ...

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Q: Using a calculator or computer, sketch the graph of f for k = 1/9, 1/6, 1/3, 1/2, 1, 2, 4. Describe ...

A: Given:     f(x) = e5x - kx    k = 1/9 , 1/6 , 1/3 , 1/2 , 1 , 2 , 4

Q: 3. dr= - 4rt when: t=0, r=rO

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Q: CABA CITY Bonus Problem: 15. Find the slope of the tangent line to the ellipse 4x2 +3y² = 16 at the ...

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

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Q: The diameter and height of a right circular cylinder are measured to be 5 to 8 inches, respectively....

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Q: Find the general solution to the differential equation: y' = 9° %3D

A: The given differential equation is: y'=9x   We know that; ∫axdx=axlna+C

Q: Find a set of parametric equations for the line passing through the point (7, 0, 1) that is parallel...

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Q: 3. Find the Laplace transform of the piecewise function 0st<1 1 S(t) = 1st<2 3 -t 2<t< 3 t23

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Q: 4

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Q: The flow of blood in a blood vessel is faster toward the center of the vessel and slower toward the ...

A: We have to find the rate of change in velocity of blood.

Q: Describe in words the region of IR^3 represented by the equations or inequalities. y^2 + z^2 = 16

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Q: Use areas to evaluate the integral f(x) = 3x + 9-x on the following intervals. (a) (-3,0] (b) [-3,3]...

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Q: Find dy/dx at the given point without first solving for y. x2 — бу — 37 %3D0 at (1, -6) | dy dx

A: This question is based on derivative.

Q: A small island is 6 miles from the nearest point P on the straight shoreline of a large lake. If a w...

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Q: For each of the following functions, find the indicated derivative using the definition. f (x) : 1+ ...

A: Find the derivative

Q: If y? In(x) = 5, find dy/dx. dy dx

A: This question is based on differentiation with respect to x.

Q: Specify c-1, co, C1 and p such that the formula c-19(s – h) + cog(s) + c19(s + h) g'(s) = hP denotes...

A: We have to find the values of c-1,c0,c1 and p. 

Q: Let f(x, y) = In(x) + In(y), r(t) = (cos(t), r). Use the Chain Rule to calculate f (r(t)) at the val...

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Q: Solve the problem. 9) Bethany needs to borrow S8000. She can borrow money at 6.9% simple interest fo...

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Q: Let F(x) = f(x) + g(x)e* + h(x)e²× + C be the antiderivative of G(x) = (x + e*)“, Determine the valu...

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Q: vector. 19. —3і + 7j 20. (-4, 2, 4) 21. 8i – j + 4k |

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Q: Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dt ...

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Q: For the following problem, determine if the sequence is increasing, decreasing, monotonic, bounded b...

A: Follow the procedure given below.

Q: '5 7 Given f(x) dx : = 12 and f(x) dx = 4, evaluate %D 7. (a) f(x) dx. 0. (b) / f(x) dx. '5 (c) f(x)...

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Q: (-5t -2st1 Find the domain of f (t). Find the values of A and B if the function is continuous every

A: Here we have to find the domain of f(t) and the values of A and B.

Q: -IT 2.

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