1. A critical number of f′(x) is an inflection point of f(x). True or False 2. If the radius of a circle is increasing at a constant rate, then so is the circumference. True or False 3. If two variables x and y are functions of t and are related by the equation y = 1 −x^2, then dy/dt = −2x. True or False 4. When finding the global minimum of a function on an interval, you must use the first or second derivative test to verify that your point is a global minimum. True or False

Q: Use the guidelines of this section to sketch the curve y=x-12Vx. (1) Find the domain of the function…

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Q: Find the limit or show that it does not exist. V1+4x6 (1) lim x- 2- (2) lim (V9x2-5x+3x

A: 1. limx→-∞1+4x62-x32. limx→∞9x2-5x+3x

Q: 7. Find the linear approximation to f(1) = VI at a = 27. a. Use it to approximate 27.2. b. Use a…

A: Given problem:- Find the linear approximation to f(x)=(27)(1/3) at a = 27 . a. Use it to approximate…

Q: |(3e" + 5z" + 6 cos a + 2)dr = 3e" +a* + 6 cos a + 2r + c ez - a + cos a + 2+c 3e* + 25 + 6 sin z +…

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Q: nt Calculate the double integral f SR (4x + 4y + 16) dA where R is the region: 0 <I < 2,0 < y < 2.

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Q: Find the limit or show that it does not exist. V1+4x (1) lim x-o 2-x3 (2) lim (V9x2 – 5x+3x

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Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: P∝TP∝1VPV=k T .....(1)where, k is proportionality constant.P1=18 atmospheresV1=120…

Q: Question 8 The function f has first derivative given by f'(x): What is the x-coordinate of the…

A: To find the x coordinate of the inflection point of the function whose derivative is given.

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Q: Draw a diagram to show that there are two tangent lines to the parabola y = x² that pass through the…

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Q: In x cot x 6 ) Tim

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Q: Find the derivative of the function. h(x) = log4(x + 9) h'(x) =

A: Topic = Derivative

Q: Find the antiderivatives following function. 1. f(x) =x' - 3x² +7x +e*

A:

Q: You construct an open box with locking tabs from a square piece of material, 24 inches on a side, by…

A: Solution is here

Q: 1. Write z = -6+ ót in polar form. O z 6 V2 cos-+i sin 4 4 = 2/6| cos- +i sin- 4 O z = 6 /2 cos…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The enclosed area between y= 2 x and y= 6/x is evaluated by

A:

Q: Activity 1.2.3. Consider a moving object whose position function is given by s(t) = t², where s is…

A: We need to find average velocity.

Q: Find all values of x where the given series converges. 9" x" (n + 1) n + 9 n=1 Answer: Note: Give…

A: Given

Q: Draw the graph of f(x) = – 5" + 3 10+

A: Graph of 5x (a growth function)passes through (0, 1)whereas -5x is a reflection about x-axis.and…

Q: Suppose that f is a twice differentiable function and that its second partial derivatives are…

A: answer is in next step

Q: The average annual price of single-family homes in a county between 2000 and 2010 is approximated by…

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Q: le“ + 4x° + 7 cos x + 2)dx O 4eª + x*+7 cos x + 2x + c r4 x* + cos x + 2+c - O 4e" + x* – 7 sin x +…

A:

Q: Let f(x)=√2x2+2x+7f(x)=2x2+2x+7 f'(x)=f′(x)=    f'(5)=f′(5)=

A:

Q: heorem 13.9 to find the directional derivative of the function at P in the direction of the unit…

A: Given query is to find the direction derivative.

Q: The value C for the solution of the initial value problem f'(x) = x - 8 +4, given that f(0) = 0. %3D…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: | (6e"+6x° +4 cos x + 2)dx = %3D 6e + x° + 4 cos x + 2x + c O e – x° + cos x + 2 + c 6 O e + x° 4…

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. y =…

A: On solving this we will get

Q: Solve equation by using the quadratic formula. List the solutions, separated by commas. 3t + t – 9 =…

A: Our Aim is to solve equation given below using the quadratic formula3t2+t-9=0 -(i)

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(s) :…

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Q: Approximate the area under the curve y = x' from z = 2 to a = 4 using a Right Endpoint approximation…

A: To approximate the area under the curve y=x3 from x=2 to x=4 using a Right Endpoint approximation…

Q: Solve the inequality. (Enter your answer using interval notation.) 4x2 - 16x 2 0 Graph the solution…

A: 4x2 -16x  &gt; 0 x(4x-16) &gt; 0 x &gt; 0    and 4x -16&gt; 0 x &gt; 0    and   x &gt; 4 so here…

Q: The graph of r = -9 cos e has which of the following characteristic: O circle; diameter of 9; center…

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Q: + 5x + 6 cos x + 2)dx = e – x + cos a + 2 + c - O 3e* + x³ + 6 cos x + 2x + c 3et + x + 6 sin x + 2x…

A: We need to evaluate the following integral I = ∫3ex+5x4+6cosx+2dx

Q: z = 49- 72 2y2.

A: answer is in next step

Q: Use summation properties and formulas to rewrite and evaluate the sum. 34 60(3² – 6j + 1) j-1

A:

Q: Find the Maclaurin series of the function. f(x) = In (1 – 6x) - Choose the Maclaurin series. 6"x" In…

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A: We have to find the money over 5 days and which option is best.

Q: Use Part I of the Fundamental Theorem of Calculus to find the derivative of the function. 8(x) = f…

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Q: State whether the given sums are equal or unequal. 10 1 10 1 and 1+ j2 1+ 22 O Unequal O Equal

A: We have to choose correct option.

Q: x-8 1. limx-2 x-2

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Q: Question 4 ($2 Q10] Determine whether the following relation is a function from R into R. Also…

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Q: dx. х2 + 4 3.

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Q: Find the absolute maximum value of f(a) = x2- 2x +9 over the interval [0,5] The value C for the…

A: Use derivative and integration for the following question.

Q: Find the area inside both curves. r = 2+ sin(20),r 2+ cos (20)

A: To find the area inside both curves.

Q: lim X - 9 3

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: Find the indicated derivative. In this case, the independent variable is a (unspecified)…

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Q: The antiderivative of the function f(x) = 4 + 10x is + 5.0x? + c 4 5.0r? +c 4 + 20.0z? + c + 5.0z?…

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Q: 4 Using the e – 8 definition of limit, prove that lim x→3 3x 1 1 2

A: To prove the limit of given function using the epsilon delta definition of limit which states that…

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Q: Find the point on the sphere X+y+=4 and the point on The sphere x+y ansi- 2 Selution:-

A: To find the point on the sphere which is farthest from the given  point (1,-1,1).