How would you go from x squared = 6/5 to x=square root of 30/5

Q: Let f(x) = 5 сл | 8 9e*. Find the general antiderivative of f(x)

A: Antiderivative of a function f(x) is a function whose derivative is equal to f(x). So, to find…

Q: Evaluate the integral 25 (28-4) ¹3 dz 13 x6 - 4. by making the substitution u = x + C

A: SOLUTION-

Q: Given f(1) = 7, f'(1) = 5, if g(x) = ef(x) then g′(1) = (Give an exact answer)

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Q: sing the method of variation of parameters to olve the nonhomogeneous DE: y" + 6y + 25y = 7+ 2x² we…

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Q: logo(-4x) - log6 5 = 1

A: Given,            log6-4x-log65=1

Q: Graph y² x² 25 49 = 1. Label the vertices and foci on the graph.

A: Hyperbola

Q: Find the area between the curve and the x-axis over the indicated interval. 2 y = 36-x [-6, 6] The…

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Q: DIFFERENTIAL EQUATION | Eliminate the arbitrary constants. Show complete solution. y= x² + c₁e²x +…

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Q: Q8: Can you answer all the parts to this question, with the working showing clearly

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Q: Evaluate the indefinite integral. 4 (t + 12) 4 -dt Question Help: Video Submit Question Jump to + C

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Q: Let f(t)= e¹t2 + cos(3 t) e5t then е L{f(t)} = ? O F(s) = F(s) = 2! (S-1) (s²+9) (s-5) F(s) = + 2! S…

A: Use property of Laplace

Q: fa²√³-3 da: This can be transformed into a basic integral by letting Consider the indefinite…

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Q: DETAILS The velocity of a skydiver, in feet per second, t seconds after jumping out of an airplane,…

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Q: Find 3 - 2 749 (2x² + 4x5) dx

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Q: 1: Find dy if y³-4y² = x³ + 3x². dx 2: Find DPP 7 DERIVATIVE dy dx if sin y² - cos x² = cos y² + sin…

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Q: Integrate: 4x√x - 1dx Question Help: Video Submit Question Jump to Answer + C

A: Given query is to find the integral.

Q: Find the matrix product AB, if it is defined. A = [56], B = [1 0-6 15 5 -18 12 OAB is undefined. °[…

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Q: 8 W n=1 Determine whether the following series converge absolutely, converge conditionally, or…

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Q: A landscape architect in a botanical garden plans to enclose a 2000 square foot rectangular region…

A: Firstly we need draw and label the situation followed by construction of equation for the total cost…

Q: What is the exact value of the definite integral K|2 ㅠ 05 O None of these. O-20 O 20 4x 25 x² dx?

A: Given query is to find the integral.

Q: answer number three here please. I just need help with c

A: We have to find the upperbound.

Q: ven the following equation of a circle in general form, find the equation in standard form by…

A: Given query is to find the standard form of circle.

Q: Find the average value of f on [0, 24]. YA 2 0 6 12 18 X

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Q: 3) Solve the differential equaion (D2-4)y=e²-4

A: 3) The given differential equation D2-4y=e2x-4. We have to find the general solution of the…

Q: Let F(s) = L-¹{F(s)} = ? 1 f(t) = e-8 tsin(√7t) √7 f(t)=e8tsin(√7t) O O f(t) = e 1 s²+16 s+71 -8 t…

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Q: Use L'Hopital's Rule to find the limit or state that the limit does not exist (DNE): tan (√5x) 10x…

A: Given,           limx→0tan5x10xTo find : Use L'Hospital's Rule to find the limitWe kno that,…

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DN 2x sec X lim…

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Q: Given f(2)= 7, f'(2) = 6, 6f(x) if g(x) x + 1 then g' (2) decimal equivalents). = (Enter your answer…

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Q: Question 3: Supply the missing constant, k, so that the resulting trinomial is a perfect square.…

A: The given polynomial is:x2-8x+p

Q: For the function f(x) = 5x - 5x, evaluate and simplify. f(x +h)-f(x) h

A: Given query is to perform indicated operation m

Q: You are given a feasible region. Find the maximum and minimum (if they exist) for the given…

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Q: Evaluate the surface integral [[ 3. where S is the portion of the plane x + 2y + z = 2 lying in the…

A: We need to solve integral.

Q: the answer is wrong it is supposed to be negative after x!!!

A: yes you are right   according to Taylors polynomials f(a)=f(a)+x-af'(a)+(x-a)22!f''(a)a=0

Q: 17x 9 + 14x5-6x³

A: The given equation is; 17x9+14x5-6x3

Q: the graph of the piece-wise defined function below, f(x), find the following -3 -2 ain: ge: 6 4 3 27…

A: Given query is to find domain,range and interval of increasing and decreasing.

Q: Assume x > 0. Use logarithmic differentiation to find dx None of these. In(x) O (√)(*) In (2) 2x O…

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Q: Find all the values of a such that the given series would converge. (-1)"11"x" Ž (√n +9) n=1 The…

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Q: Given that f(x) = x² − 13x and g(x) = x + 6, find: a) (ƒ + g)(4) = b) (f g)(4) = = c) (fg) (4) = d)…

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Q: Let C be the curve f(x) = = the length of C, as follows: (2) Show that √1+ f'(x)² In(x) 2 1 2x x 2 4…

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Q: Textbook Sketch the region enclosed by y = e³, y = e, and a = 1. Find the area of the region.…

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Q: The Cartesian coordinates of a point are given. (a) (6, -6) (b) (i) Find polar coordinates (r, 0) of…

A: Given cartesian coordinates are (a)  (6,-6)(b)  (-1,3)

Q: Identify the vertices and foci of the hyperbola with equation Enter your answers as ordered pairs…

A: we need to find the vertices and foci of the given parabola.

Q: 3. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + x² = 6.

A: Solve the following

Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

Q: (a) Determine whether the geometric series is convergent or divergent. (b) If it is convergent, find…

A: Check series is convergent or divergent, and find sum of series

Q: 10) Determine the integrating factor of the differential equation (y tan(z)-e)dz + dy=0 a) ecos(x)…

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Q: 17) The expanded form of the differential operator D(rD-1) is a) xD² b) D² - z e) zD² + 1 d) zD² -1

A: Given query is to find expanded form.

Q: Evaluate the following integrals. Do not use formulas from the Integration Tables (section 7.6) (a)…

A: We have given to find integral  I= ∫tanx·sec3x dx Let, secx=t secx.tanx dx=dt I=∫t2 dt I=t2+12+1+C…

Q: Given that f(x) = x² – 13x and g(x) = x + 6, find: a) (f + g)(4) = b) (f - g)(4) = c) (fg)(4) = d)…

A: Topic = Functions

Q: The function f is a continuous function with the following characteristics: f'(x) 0 on the interval…

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