A hypothetical square grows so that the length of its diagonals are increasing at a rate of 8 m²/min. How fast is the area of the square increasing when the diagonals are 2 m each?

Q: Jse implicit differentiation to find an equation of the tangent line to the curve 3xy³ + 2xy = 35 at...

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Q: Evaluate sec (13t)dt. sec (13t)dt =

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Q: Solve the initial value problem. dr 2 dr dt? 13 dt = 4, r(3)= 1 It%3D3 r(t) =D

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Q: xys = 1 at (1, –1). Find the slope of the tangent to the curve dy dx \(1,–1)

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Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A: Given that        y' = 4xex^4 , y(1)=3 , dx = 0.1 By using Euler's method we have to calculate the f...

Q: Use the viewing window shown to select a possible equation for the transformation of the parent func...

A: Graph of the function is given, we have to find its equation using its parent function.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) %3D 3 + 54х —...

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Q: (d) h : [2,3) → [0, x), h(x) = 3-1

A: To find which  function map onto their indicated codomain.

Q: S. The resulting integral of sin cos-sino d0 has the form | 2 2 -F(0) + C. What should be the value ...

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Q: Use substitution to find the indefinite integral. 6x+7 (3x +7x) to

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Q: 4x cosex²x+ 5 1 4 secxtan x+ dx. 4. Integrate Vx 3

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Q: Find the component form of the given vector V. belaw Dont forget round off to two decimal piacees. 5...

A: a) given that : r=14 & θ=55°  then components of the vectors are x=rcosθ , y=rsinθ   therefore (...

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

A: Given two lines, x=2-t, y=3+3t, z=4+3tAnd x=5t, y=1-15t, z=4-15tThat isx-2-1=y-33=z-43=t            ...

Q: 9. A rancher has 400' of fencing with which to enclose two adjacent rectangular corrals. What dimens...

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Q: 9. Use spherical coordinates to find the volume of the part of the ballps 4 that lies between the pl...

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Q: Eval the Pt: dx

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Q: 14. How do you find the horizontal asymptote of a 4x²+x-1 rational function f(x) = in terms of limit...

A:   Horizontal Asymptotes :- A function f(x) will have the horizontal asymptote y=L  if either limx→∞f...

Q: 29. Agriculture. A commercial cherry grower estimates from past records that if 30 trees are planted...

A: A commercial cherry grower estimates from the past records that if 30 trees are planted per acre, th...

Q: 2i-1 |4e

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart...

Q: Evaluate the integral. (Hint: u-sub) 20 de In (1 + e20) +C O In (1 + e20) + C O In (1 + 2e®) + C 2 O...

A: topic - indefinite integral

Q: Find dy/dx in terms of x and y if arctan(x*y) = y“. dy dr

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Q: An enterprise is planning a new radio, TV, and newspaper advertising campaign. A radio commercial co...

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Q: Question 7 Suppose that f is differentiable on (-o, 00) and f(-1) = 3. If f'(t) >-5 for all te R, th...

A: Lagrange’s Mean Value Theorem : Let f be continuous over the closed interval [a, b] and differentiab...

Q: Find the root of f(x) = e–x – 5x after two iterations of the simple fixed-point iteration method wit...

A: Here we have to use the fixed point iteration method

Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 8x+ 12. (-6, 0), (–5, 0) no x-interc...

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and...

A: Follow the procedure given below.

Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 10 -2 4...

A: topic - derivative of a function

Q: Write the standard form of the equation of the circle with the given characteristics. endpoints of a...

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Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) = x(2x...

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Q: D. Differentiate the following. f(x) = 4x5 - 5x +x +8 g(x) = * --*+x' + v2 c. h(x) = V9x° + V7x7 + V...

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Q: Solve the initial value problem. ds = 12t(3t² - 1)°, s(1)=7 dt The solution is s =

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Q: Find the equation of the plane containing the points P= (2, 0, 0). Q = (0, 2, 1), and R = (1,0, 3).

A: This question is based on finding equation of plane when we know 3 points of plane.

Q: Let f be a real-valued function on R. Suppose that f(−1) = 3 and f'(x) ≤ 2 for all values of x. How ...

A: f(-1)=3f'(x)≤2Integrating w.r.t x;∫ f'(x) dx ≤ ∫2 dxf(x)≤2x+Cf(-1)=33=2(-1)+CC=3+2C=5

Q: 1. Which of the following is true about the limit of a function described by limf(x)? a. The limit o...

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Q: ( sin' x cos³x dx

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Q: Let y = xlog, (x) Then dy %3D dx

A: Given, the function                                  y=xlog5x then we have to find dydx.

Q: Find the inverse of the one-to-one function. ​

A: The given function is y = 6x

Q: Use substitution to find the indefinite integral. ((8+3 In x² xp- Describe the most appropriate subs...

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Q: lim f (x)=7 3 lim g (x)=12,, lim h (x)= -3. Find lim g(x) (h(x))2*T(X) limit using limit 35. Given X...

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Q: f(x) = 4x^3 − 3x^2 − 18x + 5. (e) Find the inflection points of the graph of f, if any.

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Q: In Problems 31-42, calculate the definite integral by referring to the figure with the indicated are...

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Q: The second order differential equation for the instantaneous position s(t) for the vibrating mass is...

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Q: Write an equation for the function that is described by the given characteristic. The shape of fx) =...

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Q: ſ tanx dx

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Q: tor field F = 21 + 4j + 3k across the surface S.

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Q: Canvidar the followiag differential oquation y'= 9x +10y +29 10x+9y +33 ミ A variable chonge to turn ...

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Q: Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate...

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Q: tind the component form of the given vector V. belaw Dont forget round off to two decimal places. 55...

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +...

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Q: Match the function from the left side to its derivative. 1. x16 -4x-5 3 a. 2. 15 b. 3. ** 15x4 с.

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