Find the average rate of change of f(x) = 5x²-9 on the interval [2, t]. Your answer will be an expression involving t.

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A: Given: ht=2000lnt+1 Rate of climb will be rate of change of height i.e. dhdt

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Q: The radius of the base of a cone is 6 inches. The slant height of the cone is 10 inches. Which is…

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Q: Answer B True False The derivative of the function y=x²log (1-x²) is x² y=2xlog (1 - xảy - 2 1-x

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Q: [18x² √6x³ +5 dx 3 ○a. — (6׳ +5)³/4 + C b. (6x³ +54/5 + Oc.5(6x³+5)¹/5 + C d. 5 Od (6x³+5) ³/4 + C…

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Q: Evaluate the iterated integral. 8 3 (x + y²) dx dy -1/1

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Q: The base of a the y-axis are triangles with the height equal to 2. Algebraically, find the area of…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: As shown in the figure below, Mai is standing 100 feet from the base of a leaning tree. The tree is…

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Q: Use any method to find the Area of domain bounded by curve parametrized by X = cos³t₁ Y = sin³t, 0≤…

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Q: the slope intercept equation of a line that passes through (0,-6) and (3,-4) is

A: Given points are (0,-6) and (3,-4)and here (0,-6) is (x1,y1) and (3,-4) is (x2,y2)We know the slope…

Q: 5. Consider the function below. Is g continuous on (0,117 on (4,1)? Why or why not? 20 if z ≤0. 3 if…

A: check continuity

Q: Part 1 of 5 - Part I Given the set X = {x € R³ : d(x,a) <r}, where d is the usual metric on R³. A…

A: A set is closed iff its complement is open. So a set is not open iff its complement is not closed.

Q: Question 4 > Find the domain and range of the function graphed below. -5-4-3 1 2 3 4 5 52 Domain:…

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Q: So whats the answer

A: The question asked for the function f or ft. The last line was the answer.

Q: 7. Determine each of the following for the function, f(x, y) = 7x³y² - 2x + 3y. Show all ^~^ints.…

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Q: Match each function name with its equation. a. Square Root Y b. Cube root Y c. Reciprocal Squared d.…

A: Given query is to find the name of the every function.

Q: Given: y = cosh cosh (ex²)

A: Formulas:ddx cos hx =sin hxddx ex =exddx xn = n xn-1

Q: Find each limit, if it exists. 6-7x (a) lim (b) (c) 000 11 x-∞ 6x³ 6-7x lim x- 6x-2 6-7x² lim x-00…

A: Part a,Given,            limx→∞6-7x6x3-2

Q: Find f''(x). 1(x) = (x² + 1)² f''(x) =

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Q: 9. (y³+4)√1- cos² (y4 + 16y) ». f (y ³. cos(y¹+ 16y) () 2. dy

A: Answer of the above integration is

Q: Is partial fraction decomposition always possible? If YES, Explain If NO, Explain

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Q: find the equation of the line that passes through the point (-1,3) and is parallel to the line…

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Q: Find the curvature of the curve. r(t) =<2t, - 3sin t, 3cost)

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Q: -. y ln x − x ln y = 4, y'

A: Given query is the derivative of the expression.

Q: Evaluate the iterated integral. 16-y² ST Jo (x + y) dx dy

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Q: 8. eeer +eyty dy

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Q: When can you not use partial fraction decomposition?

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Q: y Given: xe² + In(x - y) = . Find dy/dx. dy 2x(x-y)-x¹+x -w) (20

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Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

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Q: 3 Find f such that f'(x) = - √x f(x) = f(1) = 12.

A: Solve for the f(x)

Q: Evaluate the integral. JS 2x + y dA D where D is the region bounded by y=x, y=0, x=2.

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Q: . find f'(x) if f(x) equals the given expression. a. log (x4 + 3x2 + 1) b. log (3x2 + 2)5

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

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Q: Use the One-to-One Property to solve the equation for x. - 2x 7 = 4 X =

A: we have to slove the above question and find the value of x

Q: 3. Find the derivative y' for each of the following curves/functions. Show all work toward your 12…

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Q: how do I complete the square with problems like: 3y^2 - 4y + 4x = 0 Thank you for your help!

A: This is a problem related to quadric equation. Based on the general formula of quadric equation we…

Q: 1. An undamped spring-mass system with mass m = 2 and a spring constant k = 8 is suddenly set in…

A: Solution in step 2

Q: List all x-values where f is not continuous. lim f(x) = X→∞ g. Is the value of f f(x) dx positive or…

A: e.  From the graph function is not continuous at  x = 3    f. for x→∞   f(x)=1limx→∞f(x)=1

Q: (-5,5) 14(x)=x²-19 9. f(-5) = (5)²-19 = 25 -19 - 6 b. lim x²-19 X→-5 = (-5) ² -19 = 25-19 C f(-5) =…

A: Let's find.

Q: Let m(x) be the slope of the tangent line to the curve y = 2x³-6x² + 3x at the point (x, y). Find…

A: Given: y=2x3-6x2+3x

Q: Use AMNP, as needed, to complete the given parts. 18 cm 15 cm h cm 16 cm Part 1: Part 2: Part 3:…

A: I am attaching image so that you understand each and every step.

Q: 1 0 0 1 -1 1 -1 1 1 1 0 a) Find A-¹. b) Write the corresponding elementary matrix for each row…

A: We will solve the given question using the inverse matrix method To find the inverse of matrix A…

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below. Ty 0 1 nin 1…

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Q: [CLO-3] Use the given velocity function and initial position to estimate the final position s(b).…

A: A detailed solution is given below.

Q: INSTRUCTION: Prove or disprove 1. 3x-5 = is bijective. 2x+1 Show that f: R-{-}→R-{} defined by f(x):

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Q: Question 2 Select all of the following tables which represent y as a function of z. I y Iy I y I y…

A: Given query is to find which table is a function.

Q: Given: 6x³2x²+3 dx. Using integration by parts (udv Svdu) and dv = uv - letting u= f(x), dv= 3 g(x)…

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Q: Question 2c.)

A: Here we have to find the period.