find an inner and outer such that y=f(g(x)) then calculate dy/dx  y=tan5x^2

Q: Find the integral. Stan'xsec¹x dx

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Q: Find the area of the shaded region. AY 2+ L -3 + + 2 3 square units y=x-2 34 y=√x ✈X

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Q: Find an equation of a plane containing the line r = (3, -4,-5)+t(-4,-4, 2) which is parallel to the…

A: We have to find the equation of the plane containing line r and parallel to the plane 2 x-y+ 2 z=-5.

Q: Cyanide is used in solution to isolate gold in a mine.¹ This may result in contaminated groundwater…

A: (a) To find exponential model for c(t)(b) To find number of years it takes for the cyanide…

Q: Parameterize the curve of intersection of the surfaces so that the direction is clockwise when…

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Q: The curves f(x) = x² – 3x − 2 and g(x) = x − 6 intersect at the point (2, –4). - Find the acute…

A: The equation of the curves:                                                    and these curves…

Q: A third-order homogeneous linear equation and three linearly independent solutions are given below.…

A: given

Q: Find the unique solution of the second-order initial value problem. y'' + 4y' + 3y = 0, y(0) = 0,…

A: given differential equation

Q: Consider the following. u = 6i + 4j, v = 9i + 7j (a) Find the projection of u onto v. 5.67i+ 4.41j…

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Q: Using u-back substitution, fsin² x cot³ xdx will be transformed to to it. O S(1-u²) (u²) du 2-u² -du…

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Q: Analyze the function below. Which of the following is/are true? 8 f (d) 818 88 x+5 as x→ 1+, f (x)…

A: The function is

Q: Suppose that the position of a particle is given by s(t) = 7t³ + 6t+ 9. (a) Find the velocity at…

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Q: 1) Simplify the following: (Round to the nearest cent if money is involved) a) (2+3× 2)² - 4(5² -…

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Q: - 43-46. Average and marginal profit Let C(x) represent the cost of producing x items and p(x) be…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: When we want to solve the integral using the method of partial fractions, we first factor the…

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Q: Which of the following vectors is perpendicular to i? i+j i-j i - 2j -2i -2j None of the above

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Q: Find T, N, and K for the plane curve r(t) = (10t + 1) i + (6 −t¹0) j T(t) = 1⁹ √√1+118 (Type exact…

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Q: 83. T Bank account A $200 investment in a savings account grows according 200e0.0398t, for t≥ 0,…

A: Given function: , where is measured in years., initial balancea. To find the balance of the account…

Q: match the answers to the right trigonometric function

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Q: Q. Let a =(√115, √/112, 1) and b = (0, 1, −2). (a). Find the unit vector which has the same…

A: As per our guidelines we can answer only 3 sub parts of a given question so kindly repost the…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: The given function is

Q: The graphs of the functions f and g are shown below. If h(x) = f(x) · g(x), find h' (5). Y

A: given graph of f(x) and g(x)and h(x)=f(x)g(x)

Q: sider the following coordinates and vectors, A(-2, 1, 0), B(2, -2,0), u = 3i + 2k, v = 4i + 7j+5k,…

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Q: If ƒ(x) = 2x² − 4x + 6, find ƒ'(−2). −12x - 2 incomplete. X syntax Use this to find the equation of…

A: Rule of derivative.

Q: Let a and b be unknown constants, and de a cos bsin f(x) = a I. Determine the value of a and b that…

A: at x = -,   f(x) = acos(-)  ------- (1)  and also f(x) = bsin(-)  ------(2)from equation (1) &…

Q: (d) lim x→0 cos(a + x) cos(a — x) * (e) lim x48 * (f) lim xxx 2x - 1 2x + 1 X x In(e³ + 3) In(e5x +…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Show that f(x) = x³ − x² − 3x + 1 has a zero over the interval [0, 1].

A: given function We need to sow that function has a zero on given interval.

Q: 16. y' = (1 − y) cos x, y(t) = 2

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

A: The given functions are

Q: Let F =i+x^2j, and let C be the boundary of the region {(x, y):x^2 + y^2 ≤ 1 and x ≥ 0}: the right…

A: To find the outward flux of the vector field  F=i+x2j across the boundary C of the region…

Q: Evaluate the limit of the indeterminate quotient. 1²_1-12 lim 2-4 2-4 Number

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Q: Calculate and type the final answer in the space. You may use either scientific notation or standard…

A: The given expression

Q: Given In 4 = 1.3863 and In 21 = 3.0445, find the value of the following logarithm without using a…

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Q: The boundary of a lamina consists of the semicircles y = √√4x² and y = √√36 - x² together with the…

A: We have to find the x- and y- coordinates of center of mass.

Q: How. 2 Evaluate the following cartesian integrals changing them into equivalent Polar integrals:…

A: The given integral is:The aim of the problem is to evaluate the given cartesian integral by changing…

Q: Solve the LP problem, If no optimal solution exists, indicate whether the feasible region is empty…

A: To solve the following LP problem..Maximize  subject to

Q: 2) Given the function f defined by f(x) = 7√9x²-1 a) Describe the symmetry of the graph off. Justify…

A: Explaination of the ans is as follows

Q: Can you please answer question 2.11

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Q: In 1980 the population of alligators in a particular region was estimated to be 1600. In 2007 the…

A: given that population in 1980 is 1600, whereas population in 2007 is 6500.t=2007-1980=27 years

Q: Calculate the circumference of the following circle (a > 0). r = a cos 0

A: Calculate the circumference of the following circle (a>0).r=acos⁡θ

Q: Let r(t) = (−5t5 + 1, −4e¯5t, sin(−2t)). 1 f F (1) Find [F(t r(t)dt (don't include the +C) r(t)dt =…

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Q: a) b) c) d) The graph of y = 4sin (x) x) has many tangents with a slope of 4. Another way of…

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Q: y = cos (πx/2) and y = 1 - x²

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Q: 3. Suppose a stone is thrown vertically upward from a height of 96 ft above the ground in a vacuum…

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Q: If g is the function defined by g (x) = 2cos²x-1 , then lim g (x) is equivalent to which of the…

A: given function to find Limit

Q: 84. x = e¹ sin t, y = e' cos t; 0 ≤ t ≤ 2π

A: As we know The arc length of the parametric curve (x(t), y(t)) over the interval [a,b] is

Q: Find 7¹(t), given r(t) = = r' (t) = (-5 ln(5t), 5√√3t, -5e-5t).

A: Given vector is as follows

Q: 1 1 1 For a given two-resistor circuit with the resistors wired in parallel, the total resistance in…

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Q: Find 7'(t), given r(t) = = 7' (t) = = (= 7t² -2t 3 -2t3 +5' 2t2 +6' -2t - 1

A: Given

Q: Sketch the graphs of the inverse trigonometric functions. Label important points and include…

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