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Q: Differentiate 1)2xsin-13x x+1 2)y = In; Vx-2

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Q: Evaluate the function at the indicated value of x= 3. f(x)=log243* -5 5

A: To find the value of given function at x=3.

Q: b) Use the velocity function v(t) = 2e" to compute the distance traveled by an object over the time…

A: The detailed solution is given below  Thank you

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for – o. За3 8x? 5x | (а) lim 8 8x…

A: Solving

Q: Find r(t) if r'(t) = ti+ e'j+ 3te3t k and r(0) = i +j+ k. r(t) = Need Help? Read It

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Q: A rectangular box with an open top is to be made from a 9-inch by 24-inch piece of cardboard by…

A: This question is based on application of derivative.

Q: cot(x) – cot(a) lim where a + na. е. x - a 10 f. lim +- n00

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Q: 5. S sec(3x) tan(3x) dx

A: formula:∫ secx tanx dx =sec x +Cwe are given;I=∫ sec(3x) tan(3x) dx3x =t3 dx =dtdx =dt3

Q: () 0.02x 26, ere a represents the level of production and C' (a) represents the margina items, the…

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Q: 11. The position of a particle as it moves horizontally is described by the given equation S=sint -…

A: Here, the displacement function is given by: s=sin t-cos t, 0≤t≤2π Now, to find the maximum and…

Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket…

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Q: Given: f(x, y) = 2xy; R is bounded by x = 8, y = 0, and y = x Question: What is the double integral…

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Q: Use the Fundamental Theorem of Calculus to cvaluate (1 - da

A: Integrate using fundamental theorem of calculus.

Q: lim x+0 v25 + 8x – 5

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Q: 3. Find the derivative of each of the following functions. Justify your answer. I sin z (a) f(x) =…

A: As we know that; The Product rule: f·g'=f'·g+f·g' The Chain rule: fgx'=f'gx·g'x   And…

Q: 1. ř (t) = (3 – 4t) i + 6t j- (9 + 2t) from –6 < t<8. %3D

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Q: Ssinx j 4. sin x cos x dx 3.

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Q: Solve the following differential equation (MANUAL calculations only). dy (x + 1) – 2(x² +x)y =: x >…

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Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Identify the value of the function f(x)=log10x at x = 315, Round to 3 decimal places. 3.498 2.498…

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Q: Given h(x) = tan -1 ), find h'(x). 2 4 A) sec 2 sec (B) 4 +x² (C) 4 +x2 (D)

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Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket…

A: Rate of change

Q: QUESTION 94. dz -22 TRIGONOMETRIC SUBTITUTION a? – u? sub. to u = a sin 0 a² + u? sub. to u = a tan…

A: Solve the following

Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) а. Find the…

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Q: Use implicit differentiation to find the equation of the tangent line to the curve xy + xy = 18 at…

A: We can solve this as follows:

Q: 2 4 - 8 Q - The determents|A| of matrix A =-1 - 3 6 is 7 - 2 c) -20 5 d) none of them a) -24 b)-32

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Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

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Q: Find the equation for the tangent to the curve y = exp [2x] at the point (9, e 162). f(x) = exp [2x]

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Q: Question 8 Evaluate the integral below by interpreting it in terms of areas. In other words, draw a…

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Q: Extremums et points d'inflexion N Aux exercices 33 et 34, utilisez les dérivée seconde de la…

A: 33) We have  y'=(x-1)2(x-2) .......................................... (1) We have to find maximum,…

Q: 4. Find the divergence and curl of the following vector function: F(x,y, z) = ( arctan(ry),…

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Q: 5 3 Let g and h be continuous functions such that | g(x)dx = 6 and | h(x)dx = 4. 3 Determine |…

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Q: Find the inflection points of f(x) = 2x* + 11x³ – 9x² + 12.

A: For inflection points , f''(x) =0 .

Q: Let g(x) be a differentiable function for which g'(x) > 0 and g"(x)< 0 for all values of x. It is…

A: Given query is to find the possible value for g(7).

Q: Please

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Q: Jse a graphing calculator to construct a table of values and a graph for the first 10 terms of the…

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Q: Calculate r:(t) • r2(e})] and n(t) × ra(t)] first by differentiating the product directly and then…

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Q: 0 (x-2)k 2k=1 Vk 00

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Q: he area is sketched below. ide the area below the curve into ple point of each rectangle. Ske AY

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Q: Зx2 — 5х — 2 lim x→2 In(x – 1) - is | (А) 7 (В) 8 (С) е2 (D) 0 O A O B ос O D

A: The detailed solution is given below Thank you

Q: Describe the graph of the equation. r= 18 cos ti - 9 sin tj - O tis an ellipse in thez = 1 plane,…

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Q: 1.2. Find the x-values for any points on the curve y =f(x) with horizontal tangents. 1. Let f(x) =…

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Q: Suppose that F(x) = f(t) dt, where V5 + uo du. f(t) = Find F" (2). F" (2) =

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Q: Determine whether converges or diverges. If it converges, find the sum. Paragraph U - Ay + v ...…

A: We have to find out sum

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. In In 5 In 3 In…

A: We will use logarithmic properties.

Q: Assume that x, y, and c are positive numbers. Use the properties of logarithms to write the…

A: Given :logc5xy

Q: Calculate the limit, if it exists, 5 lim x→7 (7-x)

A: On solving this we will get

Q: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

Q: tan -x -dx is equal to ONE of the followir The integral (HINT: Use Maclaurin series) Σ n=0 2" +'(2n+…

A: Here is the solution

Q: 5. Evaluate each of the following integrals. rVz² +9dx dr (a) 21 +1)3

A: