Solve for x in terms of k. log, a + log,(x + 5) = k. x = Find x if k = 10.

Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx = dxtan-1(7x)dx-114d(ln(...

Q: Differentiate. ах + b f(x) = сх + d f'(x) =

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Q: Let f(x)=1/2 sqrt3x over the interval [0,3]. Find the surface area of the surface generated by revol...

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Q: Find the endings for the following functions zX-5 3 @ lim - V-X-2 X -3 X +3 a lim 2- x* 1.

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Q: B. MATCHING TYPE. Write the letter of the correct derivative in column B for the functions given in ...

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Q: dw V4-9w2 2

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Q: valuate and solve the linear differential equation (D5 - 15D3 + 10D2 + 60D - 72) y = 0

A: Given: (D5 - 15D3 + 10D2 + 60D - 72) y = 0

Q: sin 0 = 1 to determine the limit. Use the relation lim tan 0 lim 0→0 0 cot 7O

A: We know that  limθ→0 sin θθ = 1 Also  limθ→0 sinaθaθ = 1   where a is any real number.

Q: Which of the following is the limit of f(x)= 1-5x as x appro qchers 1 a. - 2 d. does not exist

A: If the denominator and numerator gives a non zero value on applying the value where limit to be foun...

Q: 6. data are those that can be counted and assume only a countable number o values. A. Continuous C. ...

A: Use the definition of data and choose the correct answer

Q: Evaluate the integral from 1 to 7 for the following: w2 ln(w) dw

A: NOTE: Refresh your page if you can't see any equations. . use the integral by parts

Q: xp (1 +x) *+1 dx= 3. Evaluate.

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Q: 7. Consider the region above the x-axis and below y = e» with x > 1, shown below. 4 Consider a wiza...

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Q: クメ- 2 dx +2x +17

A: Given that ∫033x-2x2+2x+17dxSolution : put 3x-2=Addxx2+2x+17+B3x-2=A2x+2+Bput x=-13-1-2=A-2+2+BB=-5p...

Q: What is the critical point of the function f (x) = cos x? 2. What is the maximum point of the functi...

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Q: Use los, differentiation to find dydx X+3

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Q: 5. Using the given graph on the side, determine if the function f is continuous on the following int...

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Q: Consider the function f(x) = x – 50x? + 3, - 4 < x < 11. | The absolute maximum of f(x) (on the give...

A: Given : x4-50x2+3 Interval given : -4 &lt;= x &lt;=11 to find : point of absolute maximum and absolu...

Q: lo) Use a tangent plane to approx. the value of the following tunction. at the point (2.1L- 14.D) f(...

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Q: 5. Evaluate using partial fractions 4x2 - 2x + 8 + 4x

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Q: Compute the total area A of the (infinitely many) triangles in the figure, if the height h of each t...

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Q: The count in a bacteria culture was 800 after 15 minutes and 2000 after 35 minutes. Assuming the cou...

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Q: 4. (a) Prove the reduction formula: tan?n-1 (2r) _ [ tann-2 (2r) dr 4n- 2 tan" (2.r) dr (b) The redu...

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Q: Show that V is a subspace of R3: V is the set of all (x, y, z) such that z = 2x + 3y

A: Show that V is a subspace of R3 : V is the set of all (x,y,z) such that z= 2x+3y.   

Q: solve

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Q: 1. Consider the region bounded by y = x and y = vVa, shown below. Find the volume of the solid obtai...

A: Volume=13π15 cubic units

Q: Find the real root of x2ex= 1 by Newton-Raphson Method. The function is lying between [0.5,1], corre...

A: Here x2ex-1=0Let f(x)=x2ex-1ddxx2ex-1=2xex+x2ex ∴f'(x)=2xex+x2exHere x 0 1 f(x) -1 1.7183 He...

Q: Integrate the function. S dt o. O. V6-R+ sin'1 6t + C 6t o. + C 612 o. 6t 16-12

A: We can find the integral as below.

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: – 4 a (a) In 6-4c-1 (b) In Vb°c'a 'c...

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Q: ii. (x + y)dA Where R = {(z, y)|1 < x² + y? < 4, x < 0}

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Q: A patient receives a 150 mg injection of a drug every 4 hours. The graph shows the amount f(t) of th...

A: Given:

Q: Evaluate the definite integral. 4. x³ + 1 dx

A: ∫122x2x3+1dx  

Q: Draw the graph of g(z) Make sure to start at one of the endpoints, not the middle point. After finis...

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Q: Question Given f(x) = 3 fihd f (-4) using the definition of a derivative. I+2'

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Q: 3x5+x*+2x3+3x²+18 f(x)= х2—24 Solve for the lim f (x) Uusing the following methods: X→5 a. Table of ...

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Q: 1 1 xa(1 - x)*dx = | x*(1 – x)ªdx Þ(1 – x)ªdx

A: Given: - The  equation is, ∫01xa(1-x)bdx=∫01xb(1-x)adx, That if a and b are positive numbers. To pro...

Q: The accompanying figure shows the velocity v = f(t) of a particle moving on a coordinate line. (a) (...

A: Given:      Graph is given 

Q: is a collection of observations and considered as building blocks of statistic science. A. Data C. V...

A: We know that, Statical Science is branch of mathematics deals with collection of facts/information/d...

Q: Evaluate the difference quotient and simplify the result. h(x) = x2 + x + 5     h(x + Δx) − h(x) Δx...

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Q: Evaluate the integral. s'a In óx dx 219.01 190.21 187.01 O -61.21

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Q: Show that (1+:)'→e. as x → o, → e. HINT: Since the logarithm function has derivative 1 at x = 1, %3D...

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = t³i + 3t²j...

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Q: Consider the function f on [0,1] defined by f(x) = (t2 – t)dt. Is the function f (x) increasing or d...

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Q: For items 25 - 30, consider the frequency distribution of the Age of Employees of MTF Inc. Complete ...

A: Given:   Data with table is given

Q: is the collection of all elements under consideration in a statistical inquiry. A. Statistics C. Pop...

A: Population is the collection of all elements under consideration in a statistical inquiry

Q: 2x +1

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Q: If f is continuous and f(x)dx = 4, find So xf (x?)dx. %3D

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line throug...

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Q: Evaluate the integral. x+ 10 dx x+2

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Q: 6

A: 15×6This is a multiplication of two numbers 15 and 6.