7T T 6 4 expressions, or decimals to at least one decimal place. (x, y, z) = Convert the point (p, 0, 0) = (5, Question Help: Video 1 Video 2 Calculator Submit Question to Cartesian coordinates. Give answers either as

Q: Find the tangent plane to the equation z = -4x² + 3y² - 5y at the point (3, 2, -34)

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Q: 43. y = (2+x)√2+(2-x)², [0,2]

A: Given function:- y=2+x2+2-x2

Q: Find the derivative of the function. y' = y = etan(e)

A: We use chain rule to find the derivative of the following function.  dftdθ=dfdt·dtdθ also use the…

Q: Differentiate the function. f'(x) = f(x) = 250

A: f(x) = 250 We need to find f'(x)

Q: Let f(x) = x² 50x² – 8. Calculate the derivative f'(x) = Calculate the second derivative f"(x) =…

A: Please see the below picture for detailed solution.

Q: 8. Below is the graph of f(x) = x³ + x² - 5x+3: a) Find the zeros. b) For each zero-use synthetic…

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Q: An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the…

A: We have given that height of the ball after t seconds is s=-2.7t2+30t+6.5

Q: 6. What principal invested at 13% compounded continuously for 6 years will yield $9000? Round the…

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Q: 2. Find the derivatives of each of the following functions. You do not need to simplify your answer.…

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Q: A company buys a machine for $275,000 that depreciates at a rate of 30% per year. Find a formula for…

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Q: 9. A ladder 25 feet long is leaning against the side of a house. The base of the ladder is pulled…

A: Here -ve sign indicates ladder is decreasing its height along downward at the rate of 7/12 feet/sec…

Q: 3. Select the sine wave so the parent function is f(x) = sin (x). Start with a and b both set to 1.…

A: We have to draw the graph of sine wave with the changing values of b.

Q: Consider the following. f(x, y) = 9x y A /2 sin(0) 1/2 ([ 0 r = sin 0 (a) Set up an iterated…

A: Given f(x,y)=9x

Q: 2. Determine whether the series is convergent or divergent. If it is convergent, find its sum. ܐ 5…

A: The Series ∑n=0∞arn is called geometric series and the geometric series a is the first term and r is…

Q: Suppose a product's cost function is given by - 3q² + 800q, where C(q) is in dollars and q is the…

A: The details solution of the given question is given below in step 2.

Q: 1 So et te0.5x e2x dx

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Q: Expand the quotient by partial fractions. x² +5 X x2 - 5x + 6 2 x² +5 2 x -5x+6 (Simplify your…

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Q: Q2 Find and simplify the derivative of f(x) = cosh ¹(sinh(x)).

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Q: 29. Determine the average rate of change of the function over the domain graphed. y -4 20 (-3,-5) 2…

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Q: 5. Find the points on the graph of f(x) = x³ - 3x where the tangent line has slope 0.

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Q: Two circles have the same center. The inner circle has radius r which is increasing at a rate of 3…

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Q: Find and simplify the derivative of f(x) = ln(cosh (ax))

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Q: Consider the function ƒ(x) = x¹ − 18x² +8, −2 ≤x≤7. This function has an absolute minimum value…

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Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

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Q: Find the critical point of the function f(x, y) = 4+ 3x + 2x² − 4y − 2y² This critical point is a:…

A: Need to find out the critical point of the given function.

Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x² + y² + 2² = 6 and 1x² +…

A: Solution below

Q: Let f(x) = x² - 5x - 6. Find the open intervals on which f is concave up (down). Then determine the…

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Q: Find √ √1 + x²dx

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Q: Consider the curve 1x² - - 2xy 1y³4.25. (a) Find an expression for y'. y' = (b) P(-1.5, 1) is on…

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Q: Solve the differential equation. 2xy + 4x + (x² − 4) d (x² - 4) dy = 0 dx Mangle METALT TANG

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Q: 6y' - 2y = xy¹, y (0) = -1

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Q: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

A: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

Q: Differentiate. y' = y sec(0) tan(0)

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Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: For x approaching c from the left, x<c  ⇒  x-c5<0The denominator is a negative  approaching…

Q: Implicit Solution (2xe ³4+ex) dx + 13x²e ³4 - y²) dy=0

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Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

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Q: Connecting the Communication Device With the communication device pointed toward your home planet,…

A: Given: fx=ln8xgx=9 sin4x Red Cord: f'c Green Cord: g83π Blue Cord: f''c where, c is a constant such…

Q: 26. Distinguish between average and instantaneous rate of change, use an answer. appropriate example…

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Q: Evaluate the integral. 6e6t ¹+12° +35 S- 12t dt

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Q: 3. Use the limit definition of the derivative to find f'(x) for f(x) = 7x² + x.

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Q: 1. Make a sketch for each parabola a. y² = 4x b. x² =−16y

A: To draw parabolas

Q: Let y = f(x), where f(x) = (5x² + 6)1/3. Find the differential of the function. dy =

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Q: 10x3-8x4+2x3 2 2 X→0 15x4+3x3-5x Evaluate Lim

A: We need to find the given limit limx→010x43-8x34+2x2315x24+3x23-5x

Q: A movie theater has a seating capacity of 335. The theater charges $5.00 for children, $7.00 for…

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Q: Evaluate the integral. 2 2π π [ 0 0 0 sin z dx dy dz 2 2π π SS Sy sin 'sin zdxdydz =| 0 000 (Type an…

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Q: use differentials to approximate the vaule of sqrt(25.1)  A. 5.0300 B. 5.0200 C. 5.0100 D.…

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Q: do you know the formula for finding integrals

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Q: Suppose that f(x) = x³ - 6x² + 15. (A) List the values of all local maxima of f. If there are no…

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (tan(x)) 5/x y' =

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