Let f(x) = (c + 1)x+ In(cos x). For what value of c is f'(/4)=6

Q: Use partial fractions to find the power series of the function: 8 n=0 11x² + 629 (x² + 64)(x² + 49)

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A: Select one

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Q: The

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Q: Find the area under the graph of the function over the interval given. 1 √x [1,4] 25) y =

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Q: When proving the limit lim(2x + 8) = 14, and e > 0 is given, what is an appropriate choice for 8?…

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Q: 7. Convert the angle 5л 3 into degrees.

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Q: For a function h(x) we know that h(50)=68 and h’(50)=-5. Estimate the value of h(53)

A: Topic = Functions

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Q: 3) A) E B) [ Consider the homogeneous DE: y'"" + 2y" + y = 0 Verify that y = cos(x) is a solution of…

A: The given differential equation is;  y''''+2y''+y=0

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. TIE x² Y dy dx

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Q: Find the indicated derivative and simplify. 4t² Int et dy dt for y =

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Q: please both

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Q: Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 310 + 65x; x = 3 The…

A: We have to find percentage rate of change

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A: gradf =∇f =i∂∂x+j∂∂y+k∂∂zf .

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Q: Solve the problem. 18) A beverage company works out a demand function for its sale of soda and finds…

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Q: Find f'(x). f(x) = (3x + 10)7 (1 − √) 3(3x + 10) (1 − √x)³ f'(x) = 21(3x + 10)6 (1-√) f'(x) = 7(3x +…

A: Given data÷ fx=3x+1071-x6 Find the first derivative f'x. Useful formula ddxxn=nxn-1…

Q: Find the component of u = 2i + j − 3k that orthogonal to v = 3i – j, then verify your result.

A: This question can be solved using the concept of component of vectors.

Q: s) Consider the integral dx. Answer ONE of the following two questions: (No simplification required)…

A: Here we have I=∫20324x2dx

Q: 1. S cosxsin²x V1+sinx dx by algebraic substitution

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Q: (D+2x)(D-3x)

A: Follow the procedure given below.

Q: A ball is thrown into the air and its position is given by h(t) = -5.3t² +22t+21 where h is the…

A: Note to student :   Thanks for posting your queries. But there are multiple questions given. As per…

Q: A farmer has 2,400 feet of fencing and wants to fence off a rectangular field that borders a…

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Q: Find the points of inflection. 7) f(x)=x√√9-x2

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Q: 6. Suppose you drop a golf ball onto a hard surface from a height h. The collision with the ground…

A: Disclaimer: Since you have multiple sub parts of question, we will solve first three part for you.if…

Q: A function y = f(x) and an x-value xo are given. f(x) = x + √√x; xo = 1 4 (a) Find a formula for the…

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Q: Problem 8 ). Find the Maclaurin polynomials of orders n = 0, 1, 2, and 3, for the function f(x) =…

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Q: Use Green's Theorem and/or a computer algebra system to evaluate [x²ydx с where C is the circle x² +…

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Q: Without using a calculator, find all points on the following curve at which there are vertical and…

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Q: Find the associated exponential decay or growth model. (Round all coefficients to three significant…

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Q: If A = 1 -9 -9 -6 -4 and AB = 1 D -1 9 -3 -3 6 ww -6 ? a ? ? PP ?? 9 5 B-1 9 ∞ C 3-8 1 what is the…

A: We have to multiply the two matrices then find the value of a.

Q: Evaluate [/F F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

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Q: Match the vector-valued function with its graph. r(u, v) = ui + vj + uvk -2-1 2 2

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Q: Use geometry to evaluate the definite integral. 8 26) Evaluate. 27) S 1 S (8 - x) dx x3. + 64 X + 4…

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Q: Find an equation for the line perpendicular to 3x + 27y= 135 and goes through Write your answer in…

A: Topic:- coordinate geometry    Hint:-  if slope of line is m than Slope of perpendicular line  to it…

Q: 3. An amusement park charges $8 admission price (P) and averages 2000 tickets (T) sold per day. A…

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Q: f(t) = t cos t L{f(t)} = (s > 0)

A: Follow the procedure given below.

Q: Use a double integral to find the volume of the indicated solid. X 2 N z = e¯(x+y)/4 2 0≤x≤ ∞o 0 ≤ y…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), length of…

A: We will find the equation of hyperbola.

Q: Without using a calculator, for the following, sketch the graph of the polar equation and identify…

A: Follow the procedure given below.

Q: uanita wishes to have a rectangular garden in her backyard with an area of 60 ft². etting x denote…

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Q: Find the absolute maximum and absolute minimum values of the function, if they exist, on the…

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±2), vertices: (0,…

A: Given, Foci: F(0,±2),  vertices: (0,±5)

Q: Consider the function f(x) = 5-7x², -3 ≤ x ≤ 2. The absolute maximum value is and this occurs at x =…

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Q: Electricity rates. The table to the right shows the electricity rates charged by Better Than…

A: We can answer the question as below.

Q: Graph the function by first finding the relative extrema. 1) f(x) = x3+4x2-x-4 24 20 16 12 8 28 55 8…

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

A: The given cost function of producing x calculators is Cx=6+2x+48 , 0≤x≤50

Q: Evaluate the integral with the aid of an appropriate u-substitution. Simplify the answer, if…

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