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A: Find out the population models.

Q: use differentials to approximate 1. 64 .05 2. e^0.99 3. square root of 101 6 the value

A: Solution is here

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Q: lim 2 x²-9 2 x² - 4x +3 where c = 0 and 1

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Q: A ladder 25 ft long rests against a vertical wall. If the bottom of the ladder is sliding away at a…

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Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

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Q: 7- Deteremin all Max and min value of y= xe* +3e³

A: Given that  function   y = xex + 3e3         ........……........(1) Now  differentiate eq. (1) w.r.t.…

Q: 8- The simple expression of the А. 7 b5c8 за B. 7 b5c8 3a5 O A о О в О с O D 21 abc 3ab²c С. IS 7…

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Q: 5. Find the partial derivatives with respect to x of the function: xy² - 5y +6 a. y²-5 b. y² C. xy -…

A: We have to solve partial derivative with respect to x As per Bartleby  guidelines we have to 1…

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

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Q: 10 Find an equation for the tangent line to the graph of y = (x³ - 25x) ¹0 at the point (-5,0). The…

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Q: Find the general conic form. The final answer should look something like this x^2+4y^2-64y=-156

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Q: Draw a graph to match the description given. f(x) has a negative derivative over (-∞,5) and (5,9), a…

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Q: (ylny − e¯xy)dx + ( + xlny) dy = 0 -

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Q: 1 5 X If y = - find dy dx at x = 2.

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Q: Evaluate the following indefinite integral. dx 9x

A: solution:-∫19x6 dxusing integration formula:-∫xn dx=xn+1n+1+C

Q: FIND THE VOLUME OF THE SOLID GENERATED WHEN THE REGION BOUNDED BY THE CURVE (x-5)² = 4-Y AND THE…

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Q: Find the area bounded 1. 2x2 +4x+y=0,y=2x

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: Let c be a constant, and let h(x) = sin-¹ (cecx + x). Find h'(x). h'(x) c²eca + c 1-c²e2cx 2cxeca…

A: Solution is done in step 2

Q: Q.17: Find an expression for the nonhomogeneous ODE whose general solution is given by: y = Ae³x…

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Q: If f(y) = log, (sec(y)), find f'(y). Use exact values. =

A: If F = (fgx then F' =fgx' =f'(g(x)).g'(x).

Q: Differentiate the function. y = (2x-5)³ (5-x4) 4 dy dx

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Q: ator of a sphere, parameterized by spherical coordinates 0, and p. Let "north" point to the top

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Q: x Let a and b be positive real constants, and let y = f(x) such that tan ay statements is TRUE? O dy…

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Q: 3- Find the length of the curves in Exercises 1-4. x = = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: 10) (x + 7)²_ (y + 4)² = 1 + 81 36

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Q: (x-3)² (y-4)² - + 16 196 = 1

A: Given query is to find the conic form.

Q: eu [(= + e (+ + e" Inu - e" ln x) du

A: integration

Q: Suppose that f(x) = 5x6 - 7x5. (A) Find all critical numbers of f. If there are no critical numbers,…

A: We have to solve given Questions.

Q: In Problems 1-4, find the Laplace transform of the given function. Determine a condition on s that…

A: Given :f(t)=sin3tf(t)=etcost

Q: In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: pose that f(x) is a differentiable function such that f(8)=7 and f(8)=1. If g(x)=cos(f(x)), then…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

A: We have to slove the derivative

Q: Solve for the indicated value, and graph the situation showing the solution point. The formula for…

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Q: Find integral sec^2(2θ) dθ

A: Use substitution method for solving the integral.

Q: f(1 ¹ (1 + 2/1/2) ² du u²

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Q: 10- 7- 12 3 √9 А. 3 B. V3 О А О в О с O D С. 1 D-I

A: I didn't understand 9th question statement.  What is multiply with 1/125

Q: y = ecos x tan x

A: Given:       y = ecosx tanx

Q: 3- Find the length of the curves in Exercises 1-4. x = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: Differentiate. dx y=9* • log 5x (9* • log 5x) =

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Q: Find the area of the region between the line y = 2 - x and the x-axis, for 0≤x≤ 4.

A: Given query is to find the area under the curve.

Q: 3. Reduce 9x² +9y2 - 12x - 24y - 5 = 0 to the standard form of the equation of a circle.

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Q: d) y = x453x-1

A: Given query is to find the derivative.

Q: Differentiate. 6 g(x)=x* (4.8)* g'(x) = [

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Q: 5- A virus is spreading according to the function p(t) = 125(2)¹/4, where p(t) is the number of…

A: This question is related to Functions and rate of change, we will solve it using given information.

Q: X f(x) Using "Newton's progressive method from table below, the approximate value of the function…

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Q: If f(x) = x-2 x² +4 then what is the derivative of fat x=2?

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Q: Find the area of the region above the x-axis bounded by the function y = 4x - x2 – 3

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Q: 3- Determine f"(x).. F(x)= cosx cotx

A: This question is related to differentiation, We will solve it using given information.