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Q: Simplify : 11 / √3

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Q: The number of hours of daylight, H, on day t of any given year (on January 1, t = 1) in San Diego, C...

A: Given:The given modeled function is H(t)=12+2.4 sin2π365t-80To find:a) Find the number of...

Q: give the acceleration a = d2s/dt2, initial velocity,and initial position of an object moving on a co...

A: We know that, acceleration is rate of change of velocity a=dvdt and velocity is rate of change of di...

Q: Evaluate The Indefinite Integral |- 3(10z + 5)°dz

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Q: Use the function f and the given real number a to find (f -1)'(a). (Hint: See Example 5. If an answe...

A: The given function is: fx=x3-3 To find its inverse, Substitute y in place of f(x). y=x3-3 Now, rep...

Q: Calculate the first five derivatives of f(x) = cos x. Then determine f®(x) and f(37)(x).

A: Given function is fx=cosx Differentiating the given function with respect to x, f'x=-sinx f"x=-cosx ...

Q: The population P of a small town grows according to the function P1t2= 100 e t>50, where t is the...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your a...

A: fx=18x2+12 Differentiating with respect to x, we get f'x=ddx18x2+12=18·ddx1x2+12=18·-1x2+122·dx2+12d...

Q: Given that the graph of f(x) passes through the point (5,10) and that the slope of its tangent line ...

A: The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at (x,f(x))...

Q: Consider the function f(x) = x3 - 5x2 - 4x + 20. a. Use factoring to find all zeros of f. b. Use the...

A: (a) The function f(x) is f(x) = x3 - 5x2 - 4x + 20 Take x2 common from the first two-term and take 4...

Q: Find dy if y = In* +1 7 -t dy dt

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Q: The vector v has a magnitude of 3 and makes an angle of 30° = π6 with the positive x-axis. Write v ...

A: given: the vector v has a magnitude of 3 and makes an angle of 30°=π6 with the positive x axis. we h...

Q: C. e'dx+ (2y +xe')dy = 0.

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Q: Use the Laws of Logarithms to evaluate the expression 3125

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Q: Please show all steps

A: Given integral is ∫054x-3x+1dx

Q: 2. Find the integral of xe*dx using Simpson's 1/3 Rule with n = 4.

A: Simpson's 1/3 rule for integration :- here 'h' is difference between each interval which are create...

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0. f...

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Q: How to find the the relative maximum or minmum of the function: e^(3x^2+4) with x and y coordinates

A: Maxima and minima: Let f(x)=e3x2+4 For maxima or minima we need to find those values where f'(x)=0. ...

Q: The demand function for a certain product is given by p = 500 + 1000/q+1 where p is the price and q ...

A: Given, p=500+1000q+1

Q: Apply the Limit Comparison Test to determine whetherthe series converges or diverges. *Please Show a...

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Q: a. Find the absolute maximum and minimum values of each functionon the given interval.b. Graph the f...

A: Given function: The function gx=e-x2 on the interval -2≤x≤1.

Q: dy 7. Find ,y = cos³xsinx? dx

A: Given: y=cos3xsinx2 Formula used: Product rule of derivative: ddxf×g=dfdx×g+dgdx×f Power rule of der...

Q: The function f(x) = x2 describes the area of a square, f(x), in square inches, whose sides each meas...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Use the function f and the given real number a to find (f-1)'(a). (Hint: See Example 5. If an answer...

A: Click to see the answer

Q: Determine whether the graph of the equation y = x3 - 1 is symmetric with respect to the y-axis, the ...

A: Determine whether the graph of the equation y = x3 - 1 is symmetric with respect to the y-axis, th...

Q: Show incomplete graph of the polynomial function f(x) = 2x4 + 2x3 - 22x2 - 18x + 36a. Find all the z...

A: Given: f(x) = 2x4 + 2x3 - 22x2 - 18x + 36

Q: Consider the following. f(x) = 4x – y 12 10 8 6 y=4 x – 4 2 4 6 8 10 12 (a) Write the integral that ...

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Q: Factor the difference of two squares : x2 - 144

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =x/x2 − x + 9...

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Q: Can you please help me evaluate this integral using spherical coordinates?

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Q: Obtain the GS of: 2 (Згу — 4у + 6) dz + (23 — ва? ? — 1) dy %3D 0 - a. x³y – 2x?y3 + 3x² b. x3у — Зx...

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Q: Find dx/dt: x = 2[cos (t/2)]^2

A: x=2cost22

Q: GDP of a Country The gross domestic product (GDP) of a certain country is f(t) = 0.1t3 + 0.6t2 + 4t ...

A: we have been given that the gross domestic product (GDP) of a certain country is f(t)=0.1t3+0.6t2+4t...

Q: Determine the critical points of the curves, and graph the equation using the first derivative test

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Q: 6. Find the equation of the line perpendicular to 2x+3y=1 and whose distance from the origin is 7. 1...

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Q: Use one or more of the six sum and difference identities to verify the identity.

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Q: Find the horizontal asymptotes.

A: fx=2x2-3x8x2+8

Q: Use the Laws of Logarithms to evaluate the expression. log3(15)- log3(40) + log3(216)

A: using the law of logarithms:

Q: Two sides and an angle (SSA) of a triangle are given as a = 16, b = 18, A = 60°. Determine whether t...

A: Given : Two sides and an angle (SSA) of a triangle are given as a = 16, b = 18, A = 60°.