The polar equation r = 6 sin (40) graphs as a rose What is the length of the petals of this rose? Enter your answer in the box.

Q: The terminal ray of angle drawn in standard position passes through (2, -3). What is the value of…

A: given the terminal ray of angle  drawn in standard position passes through (2,-3)

Q: Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared…

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Q: not

A: Solving the problem

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Q: ii. Consider the following differential equation: d²x dx dt² +5+8x = f(x) where f(x) is the input…

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Q: For each of the following statements, state which are TRUE and which are FALSE. (Note: The symbol x…

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Q: A solid is formed by revolving the region bounded by the graphs of y = 5x, y = ln (1x), y = 7, and…

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Q: Use Lagrange multipliers to find the points on the cone z² = x² + y² that are closest to the point…

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Q: (b) Describe the relationship between each pair of planes, and determine any intersection: (i)…

A: (i)Here we have given a equations of pair of plane.Now, comparing their coefficients and constants…

Q: A coroner arrives at a murder scene at 7 p.m. She finds the temperature of the body to be 87.4°F.…

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 10. R is the…

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Q: dQ Let Q(t) denote the population of a certain country at time t. In 1970, the population was 2.5…

A: The first situation is represented as, (where growth factor=1.018 and growth factor=1+r, here r is…

Q: If f(x) = 5x² − 5x + 31, evaluate lim_f(9 + h) − f(9) h→0 h If an answer does not exist, enter DNE.

A: given

Q: For what value of k the following piecewise defined function will be continuous? [k - 2 cos x, e4x+1…

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Q: Given the function below, evaluate and simplify f(a + b). 2x x² + x (A) / (B) a a+b f(x) = (C) 2…

A: The objective of the question is determine the function f(a+b).

Q: A space shuttle program involved 135 manned space flights in 30 yr. In addition to supplying and…

A: We have to Determine the angular speed of the shuttle.

Q: Find the derivative of the given function. y = (x2 - 4x + 4) e9x/4 기 = dx

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Q: Fast pls solve this question correctly in 5 min pls i need urgently pls solve Nid Create a table of…

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Q: Evaluate the following indefinite integral. 36e4x √√3+ ex dx Do not include the constant "+C" or any…

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Q: Given the graph of f(x) below, what is the open interval(s) over which f'(x) is negative? 5 V AWNA -…

A: We know that,A function f(x) decreases where f'(x)<0 .

Q: Show that 2y" - y - y = 0 when y=e* + e.

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Q: Consider the curve given by x³ + y³ = xy² + 1. Find the slope of the tangent line to the curve at…

A: given

Q: how do i do this problem ? find the real roots of cos(x) = x3

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Q: Let 0= cos(-) where 0≤. Find the exact value of 0.

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Q: Evaluate the double integral. y 162²2², 04. + dA, D = {(x, y) | 0≤x≤ 7,0 ≤ y ≤ √√x}

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Q: Consider the curve f(y) = 7y over the interval 0 ≤ y ≤ 1. Use a calculator to find the surface area…

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Q: (2) True or False: a) Local extrema can only occur at critical numbers.__ b) Everywhere there is an…

A: As per bartleby guidelines only one question is allowed to solve with maximum 3 sub parts , so here…

Q: 17. A cylindrical tank with radius 5m is, at this moment, being filled with water at a rate of 3…

A: Volume of the cylinder is given as follows Where r is the radius h is the height v is the volume

Q: 5. A certain computer that is purchased today depreciates in value according to the function (t) = =…

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Q: First make a substitution and then use integration by parts to evaluate the integral [2 cos Answer:…

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Q: V9-4x2 x2 dx

A: Here we have to evaluate the integral,.

Q: 1) For the given p-series, identify p and determine Whether the series converges. [ K = 1 1 3√73

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Q: What is the component form of the vector represented by 6a when a = (-2, 3)? 6a =

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Q: Given the functions f(x) = x² − x and g(x) = 2x − 3, evaluate and simplify the composition f o g.

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Q: Evaluate the following: We need to calculate the limit of the function f(x, y) as (x, y) approaches…

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Q: Determine the intervals where the following functions are continuous. 3. f(x) = √25-x² 4. g(x)= x²-9

A: Continuity of a function:A function is continuous at a point if the function is defined at that…

Q: y"+4y'+4=e^(3x) solve this

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Q: Evaluate the following definite integral. 5 2 Sx√x² 4 16 dx

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Q: 6. Explain in words how a student would determine the magnitude of the vector P[2, 3, 1]. There is…

A: To determine the magnitude of a vector P[2, 3, 1], a student would follow a simple set of steps. 1.…

Q: The velocity of a particle varies directly as the product of its position and time squared. The…

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Q: 2. Use the definition of the derivative to find the derivative of, V(t)=3-14t 3. Use the definition…

A: Sol:-  Def:The derivative of a function is the rate at which the function is changing at any given…

Q: Points 2₁ and 2₂ are shown on the graph. 5 2 -9-8-7-6 -5 -4 -3 -2 -1 -1 -2 -5 -7 Imaginary Axis 21…

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Q: 3. Find the general solution of the second-order differ- ential equation d'y dy +2- + 2y = 0 dx² dx

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Q: The statement u = w translates into which of the logarithmic forms below:

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Q: 30. The population of a bacterial culture was 5000 bacteria after 15 min and 40 000 bacteria after 1…

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Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

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Q: 1. Given the points A(2 -1, 1), B(2, 3, 0) and C(4, 3, -4), find the vector, parametric and…

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: Consider the given expression."As per the rules, we are supposed to answer the first question and…

Q: In exercises 13-15, let s be the hemisphere2 + ² + 2 = 4, with z ≥ 0, and evaluate each surface…

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Q: Draw the graph of f(x) = 13√-x-2 +2 below.

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