-25 Evaluate the integral: dax x²Vx2 +25

Q: If f(x) – 5 + 3x 5a, find f'(3).

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Q: Estimate f(1.08, 5.94) assuming that S(1,6) = 4, S«(1,6) = 0.5, S,(1,6) = –0.4 (Use decimal notation...

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Q: 1. Show that c(t) = (e¬t cos t, e-t sin t), 0 <t <∞ has finite length and calculate its valu

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Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

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Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex a...

A: We use the general equation of left opening parabola y2=-4Ax and solve it.

Q: Find the linear approximation to f(x) cos(x) at x = 0. O L(x) = O L(x) = 1 O L(x) = 1+ x O L(x) = 1 ...

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Q: Given the function f(x)=−2x^2 1) Find the difference quotient f(x+h)−f(x)/h 2) Find f'(x) by deter...

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Q: x5tan(x²) sec²(x²) dx

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Q: A. Sketch the graph of the function, not by plotting points, but by starting with the graph of a sta...

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Q: v(t) = Vt* – Vt, en find the second derivative, "(t) = ...

A: We will use the following formula to find the second derivative i.e d/dx(xn)=nxn-1

Q: Given that lim f(x) = 4 X-2 lim g(x) = -5 X-2 lim h(x) = 0, X-2 find each limit, if it exists. (If a...

A: given limx→2f(x)=4limx→2g(x)=-5limx→2h(x)=0

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 28 – 7x² a...

A: Topic = Volume

Q: 3. Consider the graph of h(x)=|sin(2x)|on the interval -- 2 2 a. List any x-values at which h(x) is ...

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Q: Sketch the region that corresponds to the given inequalities.

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Q: 17. The hourly temperature at Portland, Oregon, on a particular day is recorded below. LAM. 46 3. 8....

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Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: 1. What is the volume of a cube whose edges are (4a + 3) cm in length? A. 64a³ – 48a² + 36a − 27 ??³...

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Q: 4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

A: Solution: 4 (a)   y= x6+816x2  from x=2 to x=3

Q: Find the derivative of the 1 f(x) = x5 + (x² + 7)(x² – x – 2) + 17 5.

A: Given: fx=15x5+x2+7x2-x-2+17

Q: 2. The rate at which a phase transformation proceeds depends on the time t and the dt transformed vo...

A: Rate of Phase transformation is gievn bydydt=4kt3(1-y)We need to find y as function of t.  

Q: Gffind the fallowing. リLf07→f(りこ 45in ut 3. とe

A: To find:1) L4sin4t2) L4+e4t3

Q: Determine the general solution of the given differential equations): | (A – 2xy) dx + 3x²dy = 0 a.

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Q: =(x) ,, } %3D

A: Given; f(x)=3+√x.

Q: |x| for x 2 10. g(x) = %3D

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Q: r(e) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the positio...

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Q: termine the equation of the curve whose tangent line at any point (x, y) i and passes A) y = e* + co...

A: We are asked find the equation of the curve.

Q: 2. 4. 14TC 9) csc - 3. 11) sin 13) tan 3. 15) sin 17) cos 0 19) cot 4.

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Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y =...

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Q: 13) y = 4c°(sin 0 – cos ) A) 8e® sin e B) 0 ) 4e0(sin e – cos e) + 4e® D) 8e®(sin 0 – cos 0) 14) y =...

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Q: how do you prove: 1. (-1)*(-1)=1 2. 1 is a positive number. Please answer both subparts if you un...

A: To prove: 1. (-1)*(-1)=1 2. 1 is a positive number.

Q: Find the limit if it exists. lim (3x+ 8) X -4 ... Select the correct choice below and, if necessary,...

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Q: 1. Use the definition of partial derivative as the limit of a difference quo- tient in order to comp...

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Q: 3. Use cylindrical shells to find the volume of the solid eenerated when the shaded region is revolv...

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

A: The given sequence is:  8, 7, 6, 5, 4, ... 

Q: Find the standard form of the equation of the hyperbola with the given characteristicS Foci: (0, ±9)...

A: The hyperbola has,  Foci: 0,±9; asymptotes: y=±3x

Q: ) A metal component is subjected to heat-treatment called normalisation. The component is eated to a...

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Q: 13т 2) cot 3

A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...

Q: Let f(x) 11 In(x). Then f'(x) is andf (8) is f"(2) is and f(8) is

A: Use differentiation for finding the values 

Q: Find a unit vector ū that has the same direction as the vector i = (-3, 3, - 3 -3 2 А. 22 22 22 3 B....

A: find the magnitude for finding the unit vector.

Q: 12. Find the first derivative of y = 2cos(2 + x?). A. -4x sin (2 + x²) B. 4x cos (2 + x*) C. x sin (...

A: Since you have posted multiple questions. As par guidelines we"ll solve first question only. If you ...

Q: A spring has a rest length of 13 inches and the spring constant is K = 1.5. spring Haw much work is ...

A: Given query is to find the workdone to stretch the spring form 17 inch to 21 inch.

Q: Evaluate the indefinite integral. 3x sin(4x)dx

A: The given integral,      ∫e3xsin(4x)dx

Q: Find an equation of the tangent plane to the surface at the given point. 6x² + 2y² + 4z² = 30, P= (2...

A: NOTE: Refresh your page if you can't see any equations. . the function f is 

Q: If g(2) = 3, g'(2) = 5, h(0) = 2, and h' (0) = 4 find F'(0). F'(0)

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Q: Find two numbers whose difference is 154 and whose product is a minimum.

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Q: p.x Select all the expressions equal to

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Q: Problem 3. Find an equation of the circle whose endpoints of a diameter are (-1,3) and (7,–5).

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Q: If f(x) = 5-(3/x)+(1/2x^2), then f'(x)

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

Q: Points A and B have position vectors a = 2i + 3j – 4k and b = 2i – j + 2k. Point C has position vect...

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Q: There are 164 students in an Electronic Engineering (Computer) program where 110 students like Diffe...

A: Solved below