Use your graphing calculator to find an exponential regression equation of the form y = a. b that best fits the data. x 1 2 3 4 5 6 807 1000 1329 1647 2146 2966 Y Round the value of each parameter to four decimal places.

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A: We know that velocity formula is ds/dt And acceleration is (d^2s)/(dt^2)

Q: Q39: Find the area enclosed by x - 2 = y² and x = 1, y = 2 in the first quadrant. <

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Q: Evaluate the limit of the function f(x): 01 00 00 NH || 7 when → 1.

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Q: Evaluate the integral. (Use C for the constant of integration.) [√ 7 + x 7-X dx

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Q: Let à = and 7 =. Find k so that a and will be orthogonal (form a 90 degree angle). k =

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Q: A projectile is fired at a speed of 820 m/sec at an angle of 60°. How long will it take to get 24 km…

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 100e-x² - 3y2-72² where T is measured…

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Q: Are both answers in units : inches, inches^2, or Inches^3?

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find for the following function. dx 기 dx y= 11 4 cos X 1+ sinx 다.

A: y=4cosx/(1+sinx)Find the derivative of the given function.

Q: If z = x² - xy + 6y² and (x, y) changes from (2, -1) to (2.04, -1.05), compare the values of Az and…

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Q: Determine all critical points for the function. f(x)=80x²-3x5 O A. x= - 4 and x = 4 OB. x= -4 OC.…

A: Given data

Q: 2. Differentiate the following functions with respect to x (h) y = x2/3 (x2/3 + x)

A: Solving the problem

Q: Find the limit or prove it does not exist e-x²-²2²-1 lim (x,y)- (0,0) x² + y²

A: To evaluate the following limit.

Q: how does the graph play affect in the solution

A: The graph of function f,The graph of function g,

Q: Find the limit of the rational function (a) as x→∞o and (b) as x-co. Write ∞o or - co where…

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Q: Consider the function f(x)=x^2-5x-1 and complete parts (a) through (c).  a) f(a+h)= (simplify your…

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Q: Solve the right triangle for the unknown sides and angle. Round values to 1 decimal place if…

A: To solve the following right triangle for the unknown sides and angle.

Q: Use your graphing calculator to find an exponential regression equation of the form = a b that best…

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Q: Price of Perfume The monthly demand for a certain brand of perfume is given by the demand equation P…

A: a).Differentiating with respect to x, we getNow when x = 3000,Now when x = 4000,

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: A grandfather clock is sitting in a living room with the center of the clock 100 cm above the floor.…

A: Given, The center of clock above the floor is 100 cm.The hour hand is 10 cm long and clock begins at…

Q: Please do step by step with understandable handwriting please! Question 1!

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Q: 14 The accompanying graph shows the temperature in an oven during a self-cleaning cycle. Let T(0) be…

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Q: Find a solution to dy dx = = xy + 9x + 5y + 45. If necessary, use k to denote an arbitrary constant.

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Q: Suppose a population P(t) satisfies dP dt where t is measured in years. (a) What is the carrying…

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Q: Prove by definition that lim, 0+ √=0. (Therefore √ is continuous at 0.) →0+

A: Prove that

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

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Q: Find y'' if y = 2x sin x. O O O A. y'' = 4 cos x - 2x sin x B. y'' = - 2x sin x OC. y'= - 4 cos x +…

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Q: For y = f(x) = x³, x = 5, and Ax=0.02 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…

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Q: dentify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: The driver of a car traveling at 54 ft/sec suddenly applies the brakes. The position of the car is…

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Q: Problem 3. You have landed an internship at NASA. It is the day of a big launch, and it is your job…

A: Time(t)0102030405060Velocity(v)0124065847291

Q: Determine each of the following derivative values that involve functions that are defined in terms…

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Q: The graph of a function f is shown. (The dashed lines indicate horizontal asymptotes.) 9 y g' 0 f…

A: As per our guidelines, we are supposed to solve only 3 three subparts. Kindly post remaining parts…

Q: Suppose the position of an object moving in a straight line is given by s(t)=3t^2+4t+3. Find the…

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Q: Find the first and second derivatives. y = 3x³ +8 y'=0 y"=0 X = 77 1 - √ S (0,0) More

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Q: If f(x,y)= 1 √x² + y² and (x, y) changes from (3, 4) to (3.2, 3.9), compare the values of dz and Az.…

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Q: Of all numbers that add to 62, find the pair that has the maximum product. That is, maximize the…

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Q: Evaluate the double integral. JI BX 8x dA, D= {(x, y) | 0 ≤ x ≤ π, 0≤ y ≤ sin(x)}

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Q: P(t) = 27.2 + 14.53 In(t) (1 ≤t≤7) s the number of online buyers as a percent of the total…

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Q: 2. Verify the identity sin(A-B) sin(A + B) = sin² A-sin² B.

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Q: Determine from the given graph whether the function has any absolute extreme values on [a, b]. Then…

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Q: b. Sw³ew/3dw

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Q: Consider the graph of f(x) below. YA 0 a b c d When ab, the function f(x) has a When x = c, the…

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Q: Given the vector-valued functions u(t)=e-5ti + e²t j + 2tk v(t) = −4ti + 5t²j + 3k d find - (ū(t) ·…

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