(х + 3)2 dx. J V40 – 6x - x²

Q: For the function y - f(x)- 2x + 0: df at = d.x a. Find 4. f'(-4) = 96 b. Find a formula for a 1 df a...

A: Answer: a.) ddf(2x3+0) = 6x2 =f'(x)f'(-4) = 6×(-4)2 = 96   b.) y = f(x) = y = f(x) = 2x3 + 0y = 2x3 ...

Q: Find a formula for the linear function with a slope of 8 and a y-intercept value of 8. Use x as the ...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Express numbers in exact...

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Q: hi

A: 1232Now,32 = 2×2×2×2×2 =4×4×232 = 4×4×2 = 42

Q: Find the minimum speed of a particle with trajectory c(t) = (t,14) for t 2 0.5. (Use decimal notatio...

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Q: 3 lim tan³ 2x x→0

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Q: x*-4y2 Find lim (x,y)¬(0,0) x2+2y2 if it exists, or show that the limit does not exist.

A: The given limit limx,y→0,0x2-4y2x2+2y2

Q: Given the triangle below, find the angle 0 in degrees. Round to the nearest degree. 17 9 Provide you...

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Q: Consider the function f(x)=1/x on the interval x>=1. find the Surface area and volume of the solid f...

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Q: Calculate the integral. (Use symbolic notation and fractions where needed.) - sinh(15x) dx = +C

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Q: 1. Find the length of the curve r(t) = (sin 2t, cos 2t) from t 0 to t = 2n. %3D 2. Find the length o...

A: As we know that, The expression for the length of vector-valued curve is: L=∫abx't2+y't2dt   1). Giv...

Q: nt) Let f(z) be the function 6z2 – f(5+h)–f(5) 5z + 9. Then the quotient can be simplified to ah + b...

A: f(x)=6x2-5x+9then f(5+h)=6(5+h)2-5(5+h)+9                      =6(52+h2+10h)-25-5h+9                ...

Q: Consider the graph of the function f (x) = x2 – x – 6. (a) Find the equation of the secant line join...

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Q: Given the triangle below, find the angle 0 in degrees. Round to the nearest degree. 17 9 Provide you...

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Q: The e half- lite of a ra to actine material 1S lle years. Sunppose we have a 10amg sa, How much of t...

A: Given:   T = 110     N0 = 100     t = 30

Q: Question Find far for f(, e tan(). Sorry, that's incorreci. Try again?

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Q: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elev...

A: Rate

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Q: Find x' for x(t) defined implicitly by x +tx+t° - 4 = 0 and then evaluate x' at the point (-2,-6). x...

A: We have to find the value of x' at point (-2, -6) 

Q: Test each of the following series for convergence by either the Comparison Test or the Limit Compari...

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Q: Question Calculate for w = zsin(xy2 + 2z). Do not include in your answer. Provide your answer below:

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Topic = Integration

Q: Evaluate the iterated integrals  ∫1 0  ∫1 0 dxdy

A: Given query is to find the value of the integral.

Q: How does a transformation of a logarithmic function change the domain of that function? Be careful t...

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Q: lā + b| = |a + b|

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Q: a power series. Use the 2n +1 Integrate the function as 00 E(- 1)". Maclaurin series sin x= (2n +1)!...

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Q: /3 Without using a calculator: tan¬1 ( 3

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Q: 32xdx

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Q: Write the equation of a sine function that has the given characteristics. The graph of y = x2, shift...

A: Given that: y=x2

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (3t), 8 cos (3t)),...

A: We have to find dsdtt0=π4

Q: 3. Find the dimensions of a open topped box that maximizes the volume with the constraint that the s...

A: We need to find dimension of an open box that maximizes the volume.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (- 6)...

A: The given series is: ∑n=1∞ -6nn35n

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Given the improper integralI=∫01ln(7x)dx

Q: (х — 2)(г + 2)( +1) (х + 3)(ӕ + 1)

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Q: O Find the set s on w/C fu (x) = x Sin converges pointwise. in Your answer Q2: Write your answer on ...

A: The given sequence of function,  fnx=x sinxn

Q: Simplify the expression sin (cos (300)), where the angle is measured in degrees. Do not include the ...

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Q: an be sold at a price of Sp. For x-p"-7p+600, find the rate of change of p with respect t ...

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Q: At what points is the following function continuous? 6x tan 3x y = x2 +2

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Q: Find the linear approximation L(x) of the function f(x) = /1 - x at a = 0. L(x) = Use L(x) to approx...

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: Find the differential of each function. (a) y = etan(nt) dy = (b) y = V4 + In(z) dy =

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Q: A doctor prescribes 100 milligrams of a therapeutic drug that has decayed to 40% of its original qua...

A: We use radioactivity decay law 

Q: Find and by implicit differentiation for y = sin y – x.

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Q: Evalvate the limit lim Cos x In(x-) -IT メーフクT ne-e

A: The given limit is: limx→π+cosx lnx-πlnex-eπ To evaluate the given limit.

Q: integral f theta^2  cos 3(theta)   d theta

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Q: Question Calculate for the function f (x, y) = 5x - cos (r - y").

A: Using differentiation with rest to x,

Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), и %3D (5,2,...

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Q: -1 cos COS 2)

A: Given: - The expression is, cos-1-12 To Evaluate: - The solution of the given expression.

Q: Test the series at the given values of x for convergence or divergence. (x+2)" Σ n=0 7" (3n + 1) • T...

A: Given the series is ∑n=0∞ (x+2)n7n (3n+1)