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Q: (d) Find f, the inverse of f. (e) Find the domain and the range of f. (f) Graph f1. 12. f(x) = 4x+1 ...

A: inverse of function domain range

Q: Find A csc (x) = sec (3A-x) Ans. π/6   Please include the explanation on the solution. Thank you...

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Q: Determine is the series is absolutely convergent, conditionally convergent, divergent. Show your wor...

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Q: Determine whether each point lies on the line. x = -1 + t, y = 3t, z = 5 +t (a) (0,3, 6) O Yes O No ...

A: a)(0, 3, 6)x=-1+t 0=-1+tt=1y=3t 3=3tt=1z=5+t 6=5+tt=1t=1 for x, y and z.The point lies on the line.b...

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and indic...

A: Topic:- application of derivatives

Q: 2. x3 – y3 = c³, find y" %3D d²x 3. x* = at?, find dt2

A: we need to find d2ydx2 from equation x3-y3=c3

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: D) Find the general solution to the differential equation y"+5y" +6y+2y 0. Hint: Look for a rational...

A: Given differential equation to find general solution.

Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

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Q: Find the derivative of the function. F(0) = arcsin Vsin(30) F'(8) =

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: We can find the critical numbers as below.

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: For given sequence we have to check its convergence first we have to check    limn -> ♾ | (-1)n s...

Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 2j +k as adjacent sides. %3D NOTE: En...

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Q: Write out the first four terms of the series to show how the series starts. Then find the sum of the...

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Q: Find the common ratio and write out the first four terms of 7n+2 the geometric sequence 6 Common rat...

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Q: Determine whether the lines are parallel or identical. x – 8 – y + 9 z + 4 %3D 4 -5 3 x + 4 – Y - 6 ...

A: Given query is to find the lines are parallel or identical.

Q: Consider the following. u = 6i – j - k, v = -i + 5j + 3k (a) Find the projection of u onto v. (b) Fi...

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Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose volu...

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Q: landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $50/f...

A: Given query is the length of x and y.

Q: Find the maximum and minimum values of f(x, y) = 3x + y on the ellipse x? + 16 = 1 maximum value: mi...

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Q: 3. Find using implicit differentiation given that dr y secr - log(r² + y?) = e* + cot(ry).

A: To find the derivative of given function.

Q: What is the largest possible product you can form from two non-negative numbers whose sum is 56? The...

A: To find: largest possible product you can form from two non-negative numbers whose sum is 56

Q: Change the number to a percent. 9 10 % 10 (Туре an integer or a decimal.)

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x.y) = - 7x - 7xy - 3y...

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Q: Find the equilibrium solutions of the SIR Model.

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Q: For the geometric sequence, 1 169, –13, 1, 13 - What is the common ratio? What is the fifth term?

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Q: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material fo...

A: V=450 cm3πr2h=450h=450πr2 ....(1)C(r)= Area of the sides*(rate of sides)+Area of the top/bottom*(rat...

Q: 18 Evaluate EUE z(x2 +y? +z?) dV where E is the region described by 2 0szs v1-x -y

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Q: The correct value of -dr is equal to 3-x O A. О В. - 23 O C. Since the integral converges to 2/3, no...

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Q: Find the domain and range of the function V(x, y) = 9/9y – 45x. Indicate the domain of V in equality...

A: Find the domain and range of the function   V(x,y) = 9 √(9y - 45 x2)

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /...

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Q: Find the value of real number if the complex number is 8 + 9j = 0

A: A complex number is a number of the form a + bi, where a and b are real numbers A IS Real part  bi i...

Q: s dx 2

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Q: Question 10 Finding the Domain and Range of a Function: f (x) = Vr² – 3x + 2. 0(-0, -2 JU [1, 00) O(...

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Q: Consider the following two series A = E and B= n=1 n=1 Which of the following statements is TRUE? O ...

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Q: Find the function s(t) satisfying = -2-3 cost dt and s(0) = 6. ds = -2-3 cos t dt and s(0) = 6 is s(...

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Q: write the equation for the function graphed below. Use smallest degrees possible. 9. 7. 4 10-9 -8 -7...

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Q: rert your original pair of complox pu

A: We have to convert in polar form of the given complex number

Q: S sinxcos(2x)dx

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Q: Determine the solution set to the following homogeneous differential equations. Write your answer as...

A: Solve the homogeneous differential equation and find the roots by finding the auxiliary equation.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: 1. (-7, -3) 2. (-5, -3] 3. [0,3] 4. [3, 7] 5. (-5,5)

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Q: Find the points on the sphere x +y +z = 154 where f(x,y,z) = 3x + 8y + 9z has its maximum and minimu...

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Q: Solve the DE using homogenous equations: Let: x = vy dx = vdy+ydv xy dx - (x2+3y2) dy = 0

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 8t, y = 8 –...

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Q: Find the direction cosines and angles of u and show that cos2 four decimal places.) a + cos? B + cos...

A: Use direction cosine definition. 

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

A: First we find slope of the function y=5x2-x dydx=10x-1dydxx=1=10(1)-1dydxx=1=10-1dydxx=1=9 At x=1, y...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Parametric equation of a line passing through a point P(a,b,c) and parallel to a vector v→p,q,r is g...

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: The lengths of u and v and the angles that u and v make with the positive x-axis are given as  : || ...