What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

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

A: We have to find parametric and symmetric equation. 

Q: Write the first five terms of the geometric sequence whose first term is 8, and whose common ratio i...

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Q: Evaluate the integral: tejat A. 2 1n(e2t-e-2t) +C B. 2 1n(e2t + e¬2t) +C e20-e-2t In(e2t-e-2t) +c - ...

A: To evaluate the given integral.

Q: Find h'(-2) if h= fog. f(z) = 372 + 8 and the equation of the tangent line of g at-2 is y= 4x 6.

A: Here we have to find h'(-2) if h=f∘g , g(x) =3x2+8 and the equation of the tangent line of g at -2 i...

Q: H. The population is 900 in the beginning and will grow by 300 people during the next two years.

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Q: Find the area of the region bounded by y = x^2- 5x + 6, the x axis, and the vert çal lines x = 0 and...

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Q: The function f is shown below. What is the value of f (x) dæ? Write your answer in simplest form. Gr...

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Q: Find all the distinct cube roots of 812, then plot the results on an Argand diagrar

A: Cube root of a number

Q: 7. Find the volume of the solid obtained by rotating the region under the graph of f (x) = 9 – x2 fo...

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Q: Let f(x) be a function that is continuous on the closed interval [0, 4]. Using the information in th...

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Q: Use implicit differentiation to find y' for 5a'y + In (ry') = 5. %3D y' Preview

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Q: Consider the region formed by the curves y = 2x² – x +1 and y = x² + x + 4. a. Compute for the end p...

A: Let's find. 

Q: : Solve-Using D-operator dy dx + 3y – 5x - e-t = 0 dt %3D dt dx dy 2- dt +x +y-3 = 0 dt

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Q: Let an​ be an arithmetic progression, for which a3​=13 and a11​=25. Find a7​

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: I am attaching image so that you understand each and every step.

Q: dy 1. Use logarithmic differentiation to find given that dx sec-1(Vx) 4sech(5x)(log6 x)* y =

A: Given problem:-

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y=25-x2 and y=3...

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Q: 1. Determine if g is differentiable at r 0 if 2 cos r, if -1<r <0 9(r) = if r20. r+cos r

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Q: Express the sum using summation notation. Use the lower limit of summation given and k for the index...

A: We have to calculate summation

Q: Find the integral of (1 2x) e^ (-x) dx from x-0 to x=. с. 2 А. 3 в. 4 D. 1 O B

A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx = -(1+2x)...

Q: 5. Half-Angle Sub

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Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

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Q: Determine the open disk of convergence and radius of convergence of 2n (z – 1+ 2i)" -n + 1 n3D0 8.

A: Here we have to find the radius of convergence and open disk of convergence. 

Q: Find domain and range to the following function Y = tan (cotr)

A: We will see that we have the following restrictions on domain of the function

Q: The function f(x) = 6x¬1 for the interval (1,3) has a local minimum. a local maximum. both local min...

A: Note :- As you write for solution only for interval [1,2] so i  am providing solution only for it.

Q: Can Mean – Value theorem applied for the following function - on the indicated closed int erval ? If...

A: The objective is to check that can we apply mean value theorem for the function on the indicated clo...

Q: Given f(x) = -2x + 4 and x = 3r ln (4s). Find fr (5, 3). Give your answer correct to two decimal pla...

A: Given; f(x) = -2x + 4 and x = 3r ln (4s).

Q: Evaluate f sec x dx. Show your solution. Upload Choose a File

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Q: I. Identify the coordinates of the end of the vertices of the major and minor axis and foci of the f...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: 120 150 30 360 11 240 300

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Q: Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show tha...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = t3,  ...

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Q: Solve for the Linear Differential Equation: y' + y = sin(e^x)

A: Given differential equation is y'+y=sin(ex)

Q: Let y = f (x) be the solution to the differential equation =z- y with initial condition f (1) = 3. W...

A: Given the differential equation dydx = x-y with initial condition f(1)=3. We have to find the approx...

Q: Find a set of parametric equations for the line passing through the point (7, o, 9) that is parallel...

A: Parametric equation of line in 3D

Q: əz and Əx əz For the following functions, determine ду z = x*ev5

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Q: 2. Let C be the graph of the equation In(3y – 2e*) = sinh (Tx) – tan(y – 1) dy (a) Find dx (b) Find ...

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Q: Solve for the Linear Differential Equation: y' + y = 1

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Q: A(6,3,3), B(3,5,1) and C(-1,3,5)are the point in a three-dimensional space. Find, a) The vector BA a...

A: Given problem:-

Q: solve for linear equation y' = x - y

A: To solve linear differential equation.

Q: Solve S using the technique of integration by partial x²-4 fractions A. In B. In +c с. in +c D. A В ...

A: Option A 

Q: Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (-1, ...

A: Find your answer below 

Q: 2. Apply appropriate trigonometric substitution to compute the integral 1-4x +2 dx /2x

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Q: Determination of Integrating Factors : Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 2x2 - xy...

A: We have to find the Integral factor and solve the equation. 

Q: d all points on the graph of the function f(I) = 2 sin z + sin z, 0 <I< 27 at which the tangent line...

A: Given query is to find the points where tangent is horizontal.

Q: Find the limiting value of upper sum approximations to the area of the region R below the graph of y...

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Q: For the given function, find all values of c over the interval (, 22) stipulated by Rolle's Theorem ...

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Q: Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show tha...

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Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: Part 1 answer  tan3  (theta) sec (theta) dtheta = sec3(theta)/3 - sec (theta) + c    Part 2 answer  ...

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated te...

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