Find lim h(x), if it exists. XX f(x) = 4x² + 2x + 3

Q: Set up the definite integral that is needed to find the area bounded between f(x) = 10x - x² and…

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Q: The figure shows the velocity of an object for 0 ≤ t ≤ 12 and the rectangles used to estimate the…

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Q: Find using implicit differentiation. dy dx 3x3 = 2y7 + 9y dy dx ㅁ

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Q: At what points is the given function continuous? f(x, y) = xy x+y O All (x, y) such that x + y O All…

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Q: Let f:[1,2]→ R, f(x) = |x|, and 9 = {-1,0,1/2,2}. (a) Draw the graph of f. (b) Compute the lower and…

A: Given:

Q: Find the quadratic function f(x) = ax²+bx+c that goes through (5,0) and has a local maximum at…

A: The vertex form of the parabola is given by So the vertex is ...............(1)

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = x² + xy +…

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Q: Find the x - value of all points where the functions defined as follows have any relative extrema.…

A: Find the x-value of all points where the functions defined as follows have any relative extrema.…

Q: 8. Find the volume of the region that lies inside the sphere x² + y² +2²= 2 and outside the cylinder…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = In(x² + 5x…

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Q: The graph of the derivative f' of a continuous function f is given below 40- 20 An -6 -5 -4 -3 -2 -1…

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Q: Find the area of the surface. The part of the plane 4x + 4y + z = 16 that lies inside the cylinder…

A: To compute the surface area of the region we use the double integrals formula…

Q: a. f(x) = x³ tan x + 9x-4 b. f(x) = cos x 5 18-secx iniog srt 16 S+x8-x=xvius srit of enil Inggrist…

A: (a)  f(x)=x3tanx+9x-4formula used (i) d dx(xn)=nxn-1(ii) d dx(tanx)=sec2x(iii)  d…

Q: 1. Find the area of the shaded region. b. (-3,7) y=x²-2 10- y=-2r+1 2 (1,-1)

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Q: Find the location of all absolute extrema for the functions defined as follows, with the specified…

A: We will find all the critical point and check the value of function at all critical points

Q: Find the derivative of: y=sqrt of 3x + sqrt of 2 + sqrt of 1-x

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Q: The voltage Vin a simple electrical circuit is slowly decreasing as the battery wears out. The…

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Q: Eliminate the parameter to find a Cartesian equation for the curve. x = 1 + 10 cos(3t), y = 11 + 9…

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Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

A: Revenue function Rx=500x-0.01x2 Cost function Cx=160x+100,000

Q: Use the Fundamental Theorem of Calculus to find the derivative of F'(x) = 16 F(x) = 6 tan(1²)dt X…

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Q: Perform the multiplication or division and simplify. x/y Z

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Q: 600 g of a substance decays exponentially. After 3 days, only 450 g left. The amount left after 9…

A: As per guidelines of bartleby we solve only one problem

Q: ở giá 523 x--1x4+x²-3x²-3x 2. Evaluate: lim a. 1 b. 0 C. 2 d. 80

A: Evaluate limx-> -1 (x3 - x2 -5x - 3) / ( x4 + x3 - 3x2 - 3x) = ?

Q: Consider the following. 5-x [x - 5 f(x) = Find the exact value of 0≤x≤5 5 < x≤ 10 10 6.3⁰ f(x) dx.…

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your…

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Q: At which points on the curve y = 1 + 60x³ - 2x5 does the tangent line have the largest slope? (x, y)…

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Q: The financial analysis department of a software design company determined that the cost of producing…

A: NOTE: Refresh your page if you can't see any equations. . the total cost function is the demand…

Q: Use the following definition of integrals to find an expression for the area under the graph of f as…

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Q: b. Identify the function's local extreme values, if any, saying where they occur. h(x) = -x³+x²

A: Given function f( x ) = -x3 + x2

Q: Simplify the fractional expression. (Expressions like this arise in calculus.) 1 1 9+x+h 9+x h

A: To Simplify : 19+x+h-19+xh

Q: Simplify the compound fractional expression. X Y y X 1 8x² 1 8y²

A: let  M=xy-yx18x2-18y2

Q: Find the area of the shaded region. b. 2 x = 1 S y = ln (r) -1 x=2

A: We have to find the area of the shaded region in the given figure.…

Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest…

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Q: Find the curvature of  r(t) =   7t, t2, t3    at the point  (7, 1, 1). ? =

A: rt=7t,t2,t3

Q: Consider the function below. (If an answer does not exist, enter DNE.) g(x) = 250 + 8x3³ + x4 (a)…

A: Given function is  g(x)=250+8x³+x⁴

Q: Solve the logarithmic equation. log (15-x) = 0.5

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Q: As a spacecraft orbits about the earth, it is said to be at apogee when it is farthest above the…

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Q: convert parametrici equation in rectangualr form  x=5sin t, y=4cos t

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Q: Find the first partial derivatives of the function. f(x, y) = x³ + 4xy³ fx(x, y) fy(x, y) =

A: fx,y=x8+4xy3 fxx,y=∂∂xfx,y fxx,y=∂∂xx8+4y3∂∂xx fxx,y=8x7+4y3

Q: Let f(x) = e to the power cos (x). Is f increasing or decreasing on the interval (0, pie divided by…

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Q: If C is the part of the circle √ (62 (6x - 8y)ds: = (-;-)² + (-²) ² = 1 in the first quadrant, find…

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Q: Following function f(x,y) = (4x + 3y)3 where x = r2s and y = r - 2s. Evaluate df/dr when r = 0 and s…

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Q: a. Find the Jacobian of the transformation x = u, y = uv and sketch the region G: 1 su≤2, 1 ≤ uv≤2,…

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Q: го Find the eigen values and eigen vectors of the matrix: A = 1 Lo 1 0 -27 3 0

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Q: Given the quadratic function f(x) = -2x² + 8x Find the vertex, the Y-intercept, the X-intercepts (if…

A: fx=-2x2+8x

Q: Find the equation for the tangent plane to the surface z = In(9x2+72+1) at the point (0, 0, 0).…

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Q: 10. Determine whether the SEQUENCE converges or diverges and if it converges, to what number? e" te…

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Q: π Find the average value of the function f(p, $, 0) = psin over the solid upper ball p≤2, 0≤ ≤ 2.…

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