Use the definition of a logarithmic function to write log7 x = 3.1 in exponential form. Then find x to three decimal places.

Q: Find the antiderivative of the given derivative. ds = 5t(212 – 1)3 dt

A: Solution:-  given that  dsdt=5t(2t2-1)3 now  using identity (a-b)3=a3-b3-3ab(a-b)

Q: Consider the function h(x), for which h(5)=−9 and h′(5)=−2.Find f′(5) for the function f(x)= h(x) / ...

A:

Q: A math tee shirt business is expected to generate $41,000 in revenue per year for the next 20 years....

A: The options for expression are not given here. Given : There is a continuous stream of a payment $41...

Q: Find the volume of the largest circular cone that can beinscribed in a sphere of radius r.

A: Let the largest circular cone that can be inscribed in a sphere of radius r as shown below: OC=OA= ...

Q: Show that if ƒ is both even and odd, then ƒ(x) = 0 for every x in the domain of ƒ.

A: Given:           f is both even and odd function.  

Q: Select the representations that do not change the location of the given point (4, 120°) a. (-4, 300°...

A: r, θ=4, 120° The other representations of r, θ=4, 120° are, -r, θ+180°=-4, 120°+180°=-4, 300°   r, θ...

Q: Integration review Evaluate the following integrals.

A: ∫secθ+cscθsecθ cscθ dθ=∫secθsecθ cscθ+cscθsecθ cscθ dθ=∫1cscθ+1secθ dθ=∫sinθ+cosθ dθ=-cosθ+sinθ+C

Q: Solve the equation for B: 51/sin 75° = 71/sin B by using the cross-products principle to clear fract...

A: Given: 51sin75∘=71sinB                                          ..1 we solve equation1, by using cro...

Q: Find the Taylor polynomial p3 for f(x) = sin(x) at x = a. %3D

A: For  F(x) = sin ( x ) Taylor polynomial P 3 is calculated at x = π  as shown below   

Q: I need help. This is not a graded question.

A:

Q: Effect of Price on Demand for Tires Suppose thel quantity demanded weekly of the Super Titan radial ...

A: given that the equation p+x2=196

Q: If a + b + c = 0, then a + b + c = -2 (ab + bc + ca).

A:

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

A: Given,  an=(4n)!(4n-1)!  

Q: At t = 0, a train approaching a stationbegins decelerating from a speed of 80 mi/hr accordingto the ...

A: When t = 0, we get, s(t) = 80 When t = 0.2, we get, s(t) = 11.83

Q: A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 1-ft...

A:

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A:   Evaluate the definite integral. Use a graphing utility to verify your result.    

Q: i need answers for this activity T__T

A: " Since you have asked a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: 51. (a) 4 = -cı (b) c1(t) = 8e(-2/5)t g/L

A: (a) Given information: dc1dt=-25c It is first order seprable ODE    

Q: Use the shown graph of function f to find the function value f(5), or state that the function value ...

A: Given graph of function is

Q: Write the expression as a power of  e.   4 -π

A: Given: 4-π

Q: Use graph to find set. (- ∞, 5)∩ [1, 8)

A: To determine: The set -∞,5∩[1, 8) using graph.

Q: The position of a particle moving along the x-axis is x(t)  = sin(2t) - cos(3t) for time t>= 0. W...

A: Given the position function, x(t)=sin2t-cos3t

Q: Evaluate the integral

A:

Q: Use Lagrange multipliers to solve                                                           Maximize...

A: To determine :   The maximum value of  f (x, y, z) = x y z   subject to the constraints:  x + y + z ...

Q: Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell o...

A:

Q: A) draw and label a picture B) identify the formula C) differentiate implicitly D) answer the que...

A:

Q: Find the balance in an account when $400 is deposited for 11 years at an interest rate of 2% compoun...

A: A=P ertP is the amount deposited.r is the interest rate.t is the time period

Q: Evaluate the right sum for the definite integral V4x+1 dx using the subdivision of the interval [0, ...

A:

Q: 2/3 x2/3 – 1 13x + 41-1지-4 Evaluate lim 38. Evaluate lim -11 - V

A: Hello, thanks for the question. Since we’ll answer the first question as the exact one wasn’t specif...

Q: Let ƒ(x) be described by the graph below. 4 3 1 2 3 4 Compute the following limits, if they exist. (...

A: Given the graph of the function . We have to evaluate limx→2f(x) , limx→0+f(x) , limx→3f(f(f(x)))   ...

Q: Find the derivative of the function.

A: Given function is, F(x)=∫0e2xln(t+1)dt

Q: Explain why the inverse is equivalent to the converse.

A: Given: Inverse and converse. To explain: Why the inverse is equivalent to the converse.

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given function is fx=2x5-15x44+5x33. Differentiating the given function with respect to x, we get f'...

Q: Define g(3) in a way that extends g(x) = (x2 - 9)>(x - 3) to be continuous at x = 3.

A: gx=x2-9x-3

Q: solve the equation l3x - 4l = 2

A: Given- 3x-4=2 To  find- The solution of the above modulus equation. Concept Used- The modulus functi...

Q: When you multiply two powers of the same number, what should you do with the exponents? When you rai...

A: When we multiply two powers of the same number, we simply add up the exponents. For any two exponent...

Q: Sketch the region in the xy  -plane defined by the equation or inequalities. -1 <=y<=3

A: -1≤y≤3

Q: Solve each equation as shown.

A: 2sin3u+1=2,  0≤u<2π