constant

Q: Finf the equation of the tangent line to (cos(x)ex10x)/(Sec2(5x)+1)+11 at the point (0,11)

A: Given,           The equation of the tangent line to (cos(x)ex10x)(sec2(5x)+1)+11  at the point (0,1...

Q: 5-8 Find the derivative and state a corresponding integration formula. 5. dx -[Vx³ +51 6. dx x2 +3 d...

A:              a) Here f(x)=x3+5we find the derivative of the given functionddxf(x)=ddxx3+5ddxf(x)=ddx...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Find the equation of the line that is perpendicular to the tangent line to f(x) = x4+1 at x = 2 and ...

A: Answer and explanation is given below

Q: Find fx(x,y) and fy(x,y). Then find fx (1,4) and fy(2,-2). F(x,y)=4x^3y^2

A: Explanation of the solution is given below....

Q: 9. Find the antiderivative of each of the following:

A: We are solving the first three subparts and for the remaining subpart post the question again and al...

Q: An investor bought stock for ​$40,000. Ten years​ later, the stock was sold for ​$50,000. If interes...

A: Given P = 40000 A = 50000 t = 10 years We have the relationship A = Petr/100  50000 = 40000 * e10*r/...

Q: Prove that the square root af any postive number exists using the intermediate value theorem.

A: Given: The square root of any positive number. To prove: The square root of any positive number exis...

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

A: ∫xndx=xn+1n+1+C

Q: Find two numbers whose sum is 11 and whose product is a maximum.

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Q: Sketch the polar curves ? = 5???? ??? ? = 5 sin(3?) ?? ?ℎ? ???? ???? ?????.

A: The given polar curves are  r=5sin(θ)r=5sin(3θ)  

Q: Use the profit model P(x)=ax2 + bx + c: a=-0.956 b=106.2 c=-73.4   What are the break-even points? ...

A: Since you have posted multiple questions. We will solve first two questions for you. If you want any...

Q: find the Laplace transform of {t^2cost}

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Q: (a) The sales of a book publication are expected to grow according to the function S = 300000(1 − e ...

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Q: Please help me with this. Thank you!

A: A(t)=A012thh is the half life andA0  is the initial value.

Q: Find the areas of the regions enclosed by the curves and lines y = x, y = 1/x2, x = 2

A: Given regions are y=x, y=1x2, x=2.

Q: 1. Find the exact value of each expression if it is defined. a) ???^−1 (−1/2) = b) ???^−1 (1/2) = c)...

A: We are solving the first three subparts and for the remaining subparts post the question again and a...

Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate ...

A: Given,           The number of bachelor's degrees conferred has been increasing steadily in recent d...

Q: sec 9.4

A: Given as sinθ2=32 With 0≤θ≤2π We know that  sinπ3 or sin2π3=32   

Q: 8 For the sequence an = n+1' its first term is its second term is its third term is its fourth term ...

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Q: Let ​f(x)=8x and g(x)=x2. Find a formula for each of the following expressions. Find their domains a...

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Q: Solve the right triangle shown in the figure. B = 15.6°, b 33.5 a A b

A: Given,           A right triangle with B=15.6° , b=33.5        

Q: Can you please write neatly or even type the answers so i can understand them? The answer needs to b...

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Q: sec 9.2

A: Part a: We can write sin7π8 as, sin7π8=sinπ-π8=sinπ8 Now, 2 sin2a=1-cos2a⇒2 sin2π8=1-cosπ4⇒2 sin2π8=...

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

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Q: sec 9.4.

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Q: Evaluate the line integral, where C is the given curve.       C xy ds,    C: x = t2,    y...

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Q: Use the limit properties to find the following limit. If lim f(x) = 3 and lim g(x) = 2, find lim [f(...

A: limx->3f(x)=3, limx->3g(x)=2To find:limx->3[f(x).g(x)]

Q: Find the determinant 5 7 0 4 4 -7 0 8 0 1 6 0 7 0 8 0

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Q: Whats the general antiderivative of the function f(x)=1/5-2/x

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Q: A monopoly has a total cost function C = 1,000 + 108x + 12x² for its product, which has demand funct...

A: Given, The total cost function,C=1,000+108x+12x2 Demand function,p=324-3x-2x2

Q: A streetlight is mounted on the top of a 15-foot tall pole. A 6ft tall woman walks away from the pol...

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Q: find the exact value of tan(pi/8)

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Q: If the price of gold decrease at a monthly rate of 2.1%, by what percentage does it decrease in a ye...

A: If something is decreasing at 2.1% per month,then after 1 month we have 100%-2.1%=97.9%so after each...

Q: Determine h(x) = -x3 t 1ocal eXTrema for + 4x² t48X +9 USing the first derivatve Test,

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Q: Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x...

A: Given that,  'L' be the length of a diagonal of a rectangle whose sides have lengths x and y, and x ...

Q: evaluate the iterated integral

A: Evaluate ∫13∫0y4x2+y2dxdy   First solve ∫0y4x2+y2dx Substitute u=xy:                 u = xydudx=1ydu...

Q: find the most general antiderivative of f(x)=6x^5-8x^4-9x^2

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Q: Find f'(x) for f(x) = 2x°e*. f'(x) =

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Q: When satellites observe Earth, they can scan only part of Earth’s surface. Some satellites have sens...

A: We have,  h represent the satellite’s distance from Earth’s surface, and let r represent Earth’s rad...

Q: For f(x)=5−8x and g(x)=x3 find the following composite functions and state the domain of each.​a) ​(...

A: Given,           f(x)=5−8x          g(x)=x3

Q: Given that the graph of f passes through the point (2, 8) and that the slope of its tangent line at ...

A: Given that the graph of f passes through the point (2, 8) and that the slope of its tangent line at ...

Q: Find the exact value of the given expression. sin(2 cos() 8. 17

A: At first,The value of cos-1(8/17)=1.0808 is needed to be calculated by a calculator.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.