Find the limit. use I'Hospital's Role 3 ln(x²) (d) lim x-1 x² - 1

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Q: Evaluate each arithmetic series described 6 n=1 (6n – 15) = =

A: Solve the given

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Q: + 12x - 3 - 3 =x, 0≤x≤ 2π sinx, 0≤x≤ 2π 12. f(x) = X x² + 1 2

A: Note :- i am solving 12 according to your asking.

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A: A rectangular box is to have a square base and a volume of 16 ft3. If the material for the base…

Q: Evaluate the gradient of f(x, y, z) = log(x² + y² + z²) at (1, 0, 1).

A: To evaluate the gradient of fx, y, z=logx2+y2+z2 at 1, 0, 1.

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Q: If then f'(x) - f() = * sinh}(7a)

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Q: Find the equation of the tangent line to the curve y = 10x -x^2 at the point x =1

A: To find the equation of the tangent.

Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim sin (7x)-7x…

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Q: Consider the function f(x) = 12x5 + 60x4- 100x³ + 4. f(x) has inflection points at (reading from…

A: The function is  f(x)=12x5+60x4-100x3+4

Q: f(x)=x√√x² +9 defined on the interval -5 ≤ x ≤ 6. f(x) is concave down on the interval x = f(x) is…

A: To find the extrema

Q: Write the sum using sigma notation: -3+3-3+3 - ... =

A: As we see that absolute value of  each term is   3  and sign of each term is  alternative negative…

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A: On solving this we will get

Q: 11) The graph of a rational function f(x)=n(x)d(x) is shown below. To view other parts of the graph,…

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Q: Let f(x) = sin(x), on [0, 2π), solve f(x) = x = Preview - V2 2 Preview

A: NOTE: Refresh your page if you can't see any equations. .

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Q: π Find the equation of the tangent line to the curve y = 2 sin x at the point The equation of this…

A: We can find the slope at the indicated point in the below steps.

Q: Σ n=1 2n + 5 n 5η

A: Given series ∑n=1∞2n+55n

Q: 14. Which of the following is an approximate equation of the line tangent to the graph of f(x) = x²…

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Q: e The polynomial x+3x³8x-24 is divisible with O(A) (x - 2) O (B) (x - 1) O (C)(x-2)(x-1) O (D) (x -…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 2…

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Q: Use implicit differentiation to find dy/dx and d²y/dx². xy + 3 = y, at the point (4, -1) Select one:…

A: According to guidelines I can solve only 1st question

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A: y=2Sec(x)-4Cos(x) Point is π3,2

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A: Make graphs of  y= x and y= e-x

Q: Part I Directions: Use the following list of words to help you answer the questions below. "Slope",…

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Q: Find the future value for the ordinary annuity with the given payment and interest rate. PMT=…

A: To find the future value.

Q: Compute the gradients of the following functions. (a) f(x, y, z) = 3x exp(-x² - y² – z²) (Note that…

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Q: Find the present value of an ordinary annuity with deposits of $15,125 semiannually for 6 years at…

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Q: logarithmic differentiation to find the derivative of f (x) = (cos x)x

A: Given is to find the derivative.

Q: Find all pertinent information and sketch the graph of f(x) = x²-2x x²-4 Find all asymptotes: HA:…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 7…

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Q: Which of the following is the proper format for the x³ + 1 partial fraction decomposition of (x²+4)²…

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Q: The function f(x)=3-64 has an absolute maximum value of and this occurs at a equals

A: We have to find max value of function

Q: + y² + z²) at (1, 0, 1). valuate the gradient of f(x, y, z) = = log(x².

A: Given query is to find the gradient.

Q: x²-2x Find all pertinent information and sketch the graph of f(x) = x²-4 Find all asymptotes: HA:…

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Q: Find the derivative using suitable differentiation rules: + 3x + ¹) J- = 5x + sin(x² + 3x + 1)…

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Q: At 6 P.M. an oil tanker traveling west in the ocean at 18 kilometers per hour passes the same spot…

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Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

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Q: late the integral, if it converges. If it diverges, enter diverges e5x 1+e5x dx

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Q: Evaluate the definite integral by the limit definition. [₁x -4 x dx

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Q: 3. An airline company offers a promo of Php 100.00 promo fare from Manila to anywhere in the…

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Q: 2. secx COS Lanx cotx =1

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Q: 5. Let f(x) = 2√x + 4. (b) (c) Find the domain and range of f. Graph f. Label at least 3 points on…

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Q: Find the limit. use I'Hospital's Role cos(2t) - 1 t-T (c) lim t

A: Given query is to find the limit of the expression.

Q: If f(x)= f'(x) = f'(4) = = 3 tan x X " then

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Q: A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of…

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

Q: 9. Consider the following 2 x 2 matrix A and basis S of R²: = [] and 5 = {[¹²₂] [²³₂]} The matrix A…

A: Given linear operator A=2456     and  basis   S= 1-2  ,3-7