Determine f(x) if f satifies f'(x) = 1 + f(x)² and f(7) = 0 f(x)

Q: 2- I want solution of this question with all steps please. Thanks

A:  given , A→=ai + 4j + bk =9i+4j+7k       since given, a=9 and b=7B→=6k +i+2j we have to find a vecto...

Q: Evaluate the integral. Check your result by differentiation. (Use C for the constant of integration....

A: Given, ∫8x8x9+6  dx Let's asssume  t = x9 + 6      then dtdx = 9x8dt9= x8dx  Substituting these valu...

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. eiz Lo da =...

A: ∫e4x1+e4xdx Put 1+e4x=t⇒4e4x=dtdx⇒e4x dx=dt4 Therefore, ∫e4x1+e4xdx=∫dt4t=14∫dtt=14lnt+C=14ln1+e4x+C

Q: please and thank you!

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Q: Use the one-to-one property of logarithms to find an exact solution for ln(7)+ln(7x^2−7)=ln(32). If ...

A: Given,            ln(7) + ln7x2 - 7 = ln(32)

Q: Find the area between the curves. x= - 2, x = 2, y =7x, y=x² - 8 The area between the curves is

A: Given,           x = -2,  x = 2,  y = 7x  and  y = x2 - 8

Q: Explain what it means to say that lim f(x) = 7 and X 3 lim f(x) = 9. X 3* %3D %3D O As x approaches ...

A: To Determine: explain what it means to say that options are given  Given: we have limx→3-f(x)=7  and...

Q: A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 4. ...

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Q: Karpov Dealers bought tires from a wholesaler at $75.00 dollars each and sold them at a mark-up of 2...

A: Given: Karpov Dealers bought tires from a wholesaler at $75.00 dollars each and sold them at a mark-...

Q: Evaluate the piecewise function at the given value of the independent variable. f(x) =[x +1 1-(x + 1...

A: Given: fx=x+1,x>-3-x+1,x≤-3 according to given function at x=-3, fx=-x+1 so, f-3=--3+1=--3+1=--2=...

Q: Engineering analysis

A: After separating the variables to one side of the equation,we will need to integrate using by-parts ...

Q: Consider the function f(x) = -6x2 + 4x - 4. Find the critical point, A of the function. At x = A, do...

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Q: Step by step on how to solve.

A: Given:   h(x)=54x5−3x3+88

Q: Question is in the attached image.   Thanks!

A: Given: The graph of fx as To find: The points corresponds to local minima, local maxima, global min...

Q: Evaluate the following limit using table of values and graph a. limx→+∞ e2x b. limx→-∞ e5x c. limx→-...

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Q: Rewrite e^−6.4=h as an equivalent logarithmic equation.   Enclose arguments of functions in parenthe...

A: Given exponential form is e-6.4=h

Q: Can you help me with this one

A: Given r(t)=2t2,7t3r'(t)=4t,21t2r''(t)=4,42t Tangential component of acceleration vector is aT=r'(t)....

Q: The regular selling price of merchandise sold in a store includes a margin of 62% based on selling p...

A: Given that,  The cost of an item for store = $231.25 Cost of an item was marked down by 47% during a...

Q: Hello, can I have help answering this question?

A: Given: x=-2, x=2, y=7x, y=x2-8 To determine: The area between the given curves.

Q: In Exercises 5-40, determine whether the improper integral convergesand, if so, evaluate it.

A: To determine whether the improper integral converges ∫0∞1x+13dx

Q: Find d /dx ln  ( x + 1) / sqrt ( x - 2)

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Q: please and thank you!

A: Given,        

Q: Question 3 of 12 Find the general antiderivative of f(x) = 4 cos (x) - 7 sin (x) and check the answe...

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Q: Solve the following initial value problem. dr = - TCOS TO, r(2) = 3 de

A: we have to solve the given initial value problem: drdθ=-πcosπθ, r(2)=3   drdθ=-πcosπθdr=-πcosπθ dθ∫d...

Q: Let C be the boundary of the region in the first quadrant bounded by the x-axis, a quarter-circle wi...

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Q: Two numbers when multiplied equuals to 28 if one number is greater than x by 3 represent the informa...

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Q: A 23-foot ladder is placed againts a vertical wall of a building, with the bottom of the ladder stan...

A: Given, A 23-foot ladder is placed against a vertical wall of a building, with the bottom of the ladd...

Q: Purcell Export received an invoice dated August 21 from Dutch Specialties of Amsterdam with terms 5/...

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Q: A bike shop reduces the price of a bike for quick sale from $455.00 to $395.00. Compute  the markdow...

A: Given: A bike shop reduces the price of a bike for quick sale from $455.00 to $395.00.

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the f...

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Q: Find the exact solution for e^2x−6e^x−55=0.   If there is no solution, enter NA.   Enclose arguments...

A: Given that: e2x-6ex-55=0

Q: A graphing calculator is recommended. Solve the following exercise on a graphing calculator by graph...

A: Let the the initial price be x and the future price be y r=13%=0.13 Future price is y=xerty=xe0.13t

Q: 9

A: Simply differentiate both side and then insert given values.

Q: Write an equation of the form y = a sinbx or y= a cosbx to describe the graph below. y = ] 2

A: The graph passes through the origin , so the equation of the graph is of form y=asinbx where a is am...

Q: A piece of wire 19 m long is cut into two pieces. One piece is bent into a square and the other is b...

A: Given, A piece of wire 19 m long is cut into two pieces. Part a: Let s be the length of the wire use...

Q: Question is attached

A: Given a=15,c=20, B=124° By cosine law, cosB=a2+c2-b22acb2=a2+c2-2accosBb2=(15)2+(20)2-2(15)(20)cos12...

Q: calculus For (a)–(c), state the indeterminate form. Then apply l’Hospital’s rule, as applicable, to ...

A: Given we have to state the indeterminate form and apply L'Hospital rule

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.