If h(2) = 5 and h'(2) = -2, find d (h(x) dx X x = 2

Q: A farmer plans to fence a rectangular pasture adjacent to a river (see the figure below). The…

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Q: Let f(x) = sin(z))". Find (1). (1).

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Q: Consider the following matrix. 3 0 19-3 62 13 44 1 8 8 30 12 0 0 00 (a) Find the dimensions of the…

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Q: 5. Determine the value of k for which f(x) = 4x² - kx + 6 has a horizontal t

A: Given: f(x) = 4x2 - kx + 6 The slope of horizontal tangent is equal to 0.

Q: 2- Say whether each given sequence is an arithmetic sequence. Find the common difference and the…

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Q: 4. Trace the curve: y² = x²−4x−12 x²-2x-3

A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

Q: 4. Using a right triangle, find the exact value of cos cos (tan-¹²).

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Q: Find the area of the region between the curves y = ³ and y = 20x - x². Area between curves =

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Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: sin(2x) x y = if x = л, dx = 0.25 find the differential. Round your answer to three decimal places.

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Q: Find a Cartesian equation for the curve and identify it. cos(20) = 1 O limaçon Ohyperbola O circle O…

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Q: Find the area of the region bounded by the graphs of the equations y = x³ + x, x=2, y = 0. Round…

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Q: Find two points where the curve x² + 2xy + y² = 53 crosses the x-axis. The tangents to the curve at…

A: We need to determine slope.

Q: If y is inversely proportional to x, and y = 9 when x = 6, write a formula for y in terms of x. Use…

A: Given y is inversly proportional to x let k = proportionality constant

Q: Find the derivative of the function f(x) = f'(x) = sin x COS X N

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Q: Suppose that a is the area of a disc with radius r which is expanding in time t measured in seconds.…

A: Given a is the area of a disc with radius r which is expanding in time t measured in seconds.   We…

Q: 10) The sequence b₁ = 8+cosn 8+√ a) Diverge b) Converge to 8 c) Converge to 0 d) None of the above…

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Q: Use integration by substitution to solve the integral below. Use Cfor the constant of integration.…

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Q: (D² + 6D + 9)y = 17e²

A: To solve the given differential equation

Q: Find the equation of the line that is tangent to the graph of the function at the right when x = 1.…

A: The given function: fx=9-x3x+1We need to find the equation of the tangent line at x=1.

Q: you solve the Partial Fraction please

A: Given that             16x2-x+36x3-5x2+1=16x2-x+3(6x-5)x2+1

Q: * Your answer is incorrect. Consider each function to be in the form y = k xP, and identify k or p…

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Q: f(x) = x4−32x−12  Determine where the function is concave up and concave down. Enter your answers…

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Q: Find a power series representation for the function. (Center your power series representation at x =…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: Evaluate the integrals: COS cos √x √√x -dx

A: I=∫cosxxdxwe know that  ∫cosxdx=sinx+cdxndx=nxn-1

Q: -X 17) y=e^· cos(2x); dy = ? -X A) -ex (cos 2x + 2sın 2x) B) e (sin 2x- ccs 2x) c) 2ex Sin (2x) -X…

A: Given:- y=e-xcos2x

Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + Determine the values of…

A: Given,            fx=ax3+bx2+cx+d has a local maximum at the point 0,0 and a local minimum…

Q: 11- Iraqi's population grows at an annual rate of 3%. The population in 2022 is 40 M. What is the…

A: Given query is to find the population in 2030.

Q: O A. No, since we have only shown that Sk+ 1 satisfies the statement. OB. No, since we must show…

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Q: b) (x + 2y - 3)dx + (2x + 4y - 9)dy = 0

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Q: (D²+10D + 25)y = -2xe-5x

A: We have to solve the given differential equation.

Q: Use the information to determine the limits. (If the limit is infinite, enter 'co' or '-co', as…

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Q: Find the angle co-terminal with O Ο Σπ 3 - 1/30 17π 2

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Q: 18. A company makes $1000 on the first 100 widgets sold. The rate of change for profit is given by…

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Q: 6. Given that (a) sin csc x=3, 90° <x<180° find X 3+2√2 6 ×IN Answer: sin- 2

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Q: 3) Find curl (xyi + yzj + zxk)

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Q: a²u əxəy ди dx = pt when x = 0, u = siny+ 3y² + 1 =e*cosy + 2xy when y = 0,

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Q: If (2,-5) is a point on the graph of f(x), which of the following points MUST be on the graph of…

A: Given that point (2,-5) is a point on the graph of f(x).

Q: assume that Dr. Kim decides to purchase a car which is selling for $55,000 today. She needs to make…

A: Given query is to find monthly payment.

Q: 12. Find f x √(1-x²)³ dx

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Q: 36. Evaluate cos 20, given cos 4 sin == 0 5 = 3/5 ar

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What are the coordinates of the point on the graph of f(x) = (x + 1)(x + 2) at which the tangent is…

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Q: If f(x) x = √₁² (2²³ + Sº (t³ + 5t² + 2), dt then ƒ''(x) = =

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Q: (9)- ८ X+3 tran(x) d. y = √x ln (x)

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Q: Write the following limit as a definite integral on the interval [3, 8], where c, is any point in…

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Q: enclosed

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Q: Two sides of a triangle are 16 and 4. Find the size of the angle 0 (in radians) formed by the sides…

A: let sides of a triangle are a and b let angle form by the sides = θlet A = area

Q: If f(x)= f'(x) = = tan z sec x -4

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Q: The roots of the auxiliary in y (4) + 3y"- 4y=0_ Om= ±2 Om=+1,i Om= + 2i Om= ± 1, ± 2i

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