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Q: Calculate the derivative of the function. Then find the value of the derivative as specified. f(x)...

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Q: In Exercises 11–28, calculate the derivative with respect to x of the other variable appearing in th...

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Q: 1) A basic law of physics states that, when an object is dropped in a near-vacuum, the distance it f...

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Q: Find the minimum value of 4x2- 4x+11

A: The given quadratic expression is 4x2-4x+11. The minimum value of a quadratic expression is the plac...

Q: Help solve with steps c49

A: Slope of the tangent at the point (π/8, 4) is m=f|(π/8) Given f(x)=tan(2x)+3 Then f|(x)=2sec2(2x) f|...

Q: 1. Describe the transformation in this function:f(x )=x^2- 7

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Q: Assume function given(44) . Evaluate the following integrals(45), if possible.

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Q: In Exercises 31-44, use the Chain Rule to find the derivative.

A: Chain rule says that ddxfgx=f'gx g'x. The given function is y=x+1-132.

Q: Determine whether the planes are parallel, perpendicular or neither. 5x + 2y+ 3z = 2 y= 2x + 3z

A: Given 5x+2y+3z=2y=2x+3z

Q: 5) A cake is removed from an oven at 200 °F and left to cool a at room temperature, which is 65 F. A...

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Q: We have learned that addition and multiplication are both commutative operations.(a) Is subtraction ...

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Q: Calculus Question

A: To find: The derivative of s with respect to x.

Q: Let f (x, y) = x 4y-2 and P = (2, 1). Find the unit vector that points in the direction of maximum r...

A: Concept: The Unit vector is a quantity which has a magnitude as 1and as well as direction, it is als...

Q: Solve the equation accurate to three decimal places.

A: The given expression is:

Q: Find the limit (if it exists). If the limit does not exist, explain why.

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Q: Finding Determinants Use a graphing calculator to find the determinant of the matrix. Determine whet...

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Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions ,f(x) = 3x + 8 and g(x) =(x -...

A: Consider the given functions are, f(x)=3x+8g(x)=x-83 Now the first step is to find the value of f(g(...

Q: Prove each differentiation rule.

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Q: A six-meter-long ladder leans against a building. If the ladder makes an angle of 60 degrees with th...

A: Given data: The length of the ladder is: AC=6 m. The angle made by the ladder with the ground is: ...

Q: Find y n if x4 + y 4 = 16

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Q: How do I evaluate the limit?

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Q: If lim f(e+h)-f(c) and lim e+h)-f(c) exist but are not equal, then h-0- h+0+ f is not differentiable...

A: Let’s take f(x) = |x|, which has corner at x = 0 Re-define f(x) as:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: Given Data The power series is an=∑n=1∞4nx-1nn. Using the ratio test to evaluate the interval of c...

Q: Calculus Question

A: Since you have asked multiple questions in a single request, we would be answering only first questi...

Q: Solve the triangle ABC if a=1 , b=2, c= sqrt(3)

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Q: Let v = 2i - 5j and w = -4i + 3j. Find v . v

A: The vector v = 2i-5j The vector w = -4i+3j

Q: Find the tangential and normal components of acceleration at the given time t = 0 for the space curv...

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Q: Evaluate the integral.

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Q: Determine the amplitude of y = 1/2 sin x. Then graph y = sin x and y = 1/2sin x for 0 ≤ x ≤ 2p.

A: Given y=12sinx

Q: Derivatives from a table Use the following table to find thegiven derivatives

A: Given Data The table for derivative is x 1 2 3 4 f(x) 5 4 3 2 f'(x) 3 5 2 1 g(x) 4 2 5 3 ...

Q: Evaluate the integrals So 2 log2 (x+2) dx (x+2)

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Q: How do I evaluate this limit?

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Q: Write as a single logarithm:

A: a) We first use the exponent rule of log. 12log(x)+4log(x-1)=log(x12)+log(x-1)4=log(x)+log(x-1)4 The...

Q: x4 - x3 - 7x2 + x + 6 = 0 a. List all possible rational roots or rational zeros.b. Use Descartes’s R...

A: The polynomial equation is x4-x3-7x2+x+6=0 Let, f(x)=x4-x3-7x2+x+6

Q: The figure shows graphs of f , f', f", f"'. Identify each of curve. a b c d

A: From the given graph, we draw tangents

Q: Steps to solve - 1c4

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Q: Find the Jacobian ∂(x, y, z)/∂(u, y, w) of the transformation x = 2u - 1, y = 3v - 4, z = (1/2)(w - ...

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Q: Find

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Q: In 1h the minute hand on a clock 73-74 - Clocks and Angles moves through a complete circle, and the ...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Give Definition of Odd Function ?

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Q: Find the missing information using the arc length formula: s = r Ɵ s r ...

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Q: Simplify: 7(4x2 + 3x) + 2(5x2 + x).

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Q: find the range algebraically

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Q: Use the Integral Test to determine whether the following series converge after showing that the cond...

A: Concept: An integral is either numerical value equal to the area under the graph of a function for s...

Q: Evaluate the integrals

A: Given I=∫01∫03-3x∫03-3x-y1dzdydx

Q: Define the Arcsine and Arccosine Functions?

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Q: Describe in words the region of R3 represented by the inequality x2+ y2+ z2> 2y − 2z.

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Q: a. Find an equation of the tangent line at x= a b. Use a graphing utility to graph the curve and the...

A: Consider the given curve Here the objective is to sketch the graph of given function using graphing...

Q: Use point plotting to graph the plane curve described by the given parametric equation x = lt + 1l, ...

A: We will make a table for the given equation x = lt + 1l, y = t - 2; - ∞ < t < ∞ t -2 -1 ...

Q: Determine whether the statement " The cylindrical coordinates of a point (x, y, z) are unique. ", is...

A: To determine: Whether the statement “The cylindrical coordinates of a point (x, y , z ) is unique” ...