5. f3-* dx 6. S √ √√9-t² 7. S- 1-e²t dt dt

Q: Let y = sin(4x). If Ax = 0.2 at x = 0, use linear approximation to estimate Ay Ay~ = Find the…

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Q: Evaluate the integral 10 2 Note: Use an upper-case "C" for the constant of integration. 60e 2t 16…

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Q: m If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 25- S meters…

A: NOTE: Refresh your page if you can't see any equations. . the position function of the rock after t…

Q: Given the differential equation (x2y2 + x2 + y2 + 1) dx + x2 dy = 0 with the condition y(1) = 1: 1.…

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Q: Simplify the difference quotients when necessary. 9) f(x) = 7x + 1 A) 7x - 7h; 7x - 7a f(x+h)-f(x) h…

A: Given query is to perform indicated operation on the function.

Q: Given the function f(x) = (- 12x - 3)5(5x + 6) ¹0, its zeros are and their multipicities are…

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Q: The heights of 400 students are approximately normally distributed with a mean of 174.5 centimeters…

A: Given  that, The heights of 400 students are approximately normally distributed with a mean of 174.5…

Q: Let f(x) = e+ln x x2 . a. Find the average rate of change of f(x) from x = 1 to x = e. b. Write an…

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Q: Find the linearization at x = a. f(x) = 11/17₁0=7 a

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Q: At x = -2 the function y = +2 true 5 is differentiable but not continuous falco

A: This question can be solved using the concept of continuity and differentiability

Q: Find the sum of the convergent series. (Round your answer to four decimal places.) n=1 (sin(1))" X

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Q: Write the particular solution of the first order linear differential equation dy + (ytanx - cosx) dx…

A: Solve the following

Q: a) y = cos 2x on [0,1] b) x= on [1,10]

A: 6) a) y=cos(2x) on [0,π] the length of the curve is given by  L=∫ab(1+f'(x)2) dx here f(x)=cos(2x)…

Q: Find the first five non-zero terms of the Taylor series for f(x): 8 + Written compactly, this series…

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Q: The marginal cost of the xth box of light bulbs is In(x + 1) (x + 1)² and the fixed cost is 15…

A: Given Marginal cost function is Mx=10+lnx+1x+12 and fixed cost is 15 dollars.

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: given :  curves is revolved about the x-axis. y= x^2 , x = 1, y = 0 Volume =?

Q: GIVEN THE DIFFERENTIAL EQUATION (xy+x+y+1) dx+x dy = 0 WITH THE CONDITION (LN 2) = 0: 1. IDENTIFY…

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

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Q: Problem 2: Given the differential equation (y sin x - cos²x) dx + cos x dy = 0: a. Identify whether…

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Q: Consider the function f(x, y) = In surface at the point (2,1). + x². Find the equation of the line…

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Q: Find the maximum value of f(x) = -4x² + 5x + 6 on the interval [-20, 20]. It is attained at x = 6.98…

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Q: Find the linear approximation for the root by choosing the closest value of x for which the…

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Q: Directions: Consider the following function f(x). Use the logarithmic laws to rewrite this function…

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Q: 39-52 (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values.…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Approximate 181/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

A: We need to approximate value.

Q: Find the derivative of y = (3x5 - 4x + 2)g(x)

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Q: r-axis Find the exact area of the surface obtained by rotating the curve y = √√7-x, 1 ≤x

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Q: 3 Consider the function f(x) = 4x³ 5x on the interval [ - 3,3]. Find the slope of the secant line on…

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Q: 1) Cindy has 185 feet of fencing to build a rectangular dog run. She plans to build it against an…

A: we need to find out the length, width and maximum floor area.

Q: Helium is pumped into a spherical balloon at a constant rate of 3 cubic feet per second. How fast is…

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Q: Write the augmented matrix of the system and use it to solve the system using row reduction, clearly…

A: Given, x-y+z=6 -2x+3y-3z=-15 -3x+4y-z=-27

Q: Evaluate the double integral over the given region R. SS (9y² - 2x) da dA R: 0≤x≤2, 0≤y≤1

A: ∫∫R(9y2-2x)dA = ? dA = dxdy

Q: dT At a certain moment, the temperature in a snake cage satisfies = 0.008 °C/s. Estimate the rise in…

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Q: Find the length of the curve Arc length = y² = 4(x+4)³, 0≤x≤2, y>0.

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Q: For the sequence an its first term is its second term is its third term is its fourth term is its…

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Q: Find the derivative of f(x) = f(x)= z10e3.57.

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Q: Question 35 Find the average rate of change over the given interval. Enter your answer in as a whole…

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Q: Solve for the min value of f(x) = 5x² + 4x + 6

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Q: Using the graph given below, state the value of f(3). y 4 2 0 2 4 If the value does not exist, enter…

A: Given the graph of a function

Q: d) f(x) = x sin x + cos x [0, 2π]

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Q: Describe the transformation. needed to obtain the graph of | y = = 3x +10 from the graph of y = 3 X…

A: Given function : y=−3x+10

Q: Problem 1: Given the differential equation (xy+x+y+1) dx + y dy=0 with the condition y(1) = 0: a.…

A: Given differential equation:- xy+x+y+1dx+ydy=0

Q: from a = = 2 to x = 6. The length is y = 6x³/2 - 5

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Q: Flight of a Rocket The altitude in feet attained by a model rocket t seconds into flight is given by…

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Q: Solve for the relative min value of 13x 2x²+3 h(x)

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Q: List intervals where f(x) is increasin a) f(x) = = - 3. 3x

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Q: Problem 2: Given the differential equation (yetanx sec² x - 1) dx + etanx dy = 0: a. Identify…

A: The objective is to solve the above question.

Q: graph of f' plotted in real time. f'(-9) = undefined f'(x) -10 -8 -6 -4 Answer: x = 15 10 5 -5 -10 y…

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Q: Let y = 2x². Find the change in y, Ay when x = 5 and Ax = 0.3 Find the differential dy when x = 5…

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Q: Compute the length of the curve ?(?)=5??+8??+(7?^2−5)k over the interval 0≤?≤2.

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