Find the limit of the transcendental function. tan (7) lim tan X-17

Q: Q2. A second-order non-homogeneous differential equation is given by dy d²y dx² - - 10- (a)…

A: We can solve the given differential equation .

Q: 2. Find the area between between x = 0 and x =9. y=√x-10 and y=0 10

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Q: Write the equation in its equivalent exponential form. 9= log7M What is the equivalent exponential…

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Q: Shown to the right is a certain population, in billions, for seven selected years from 1950 through…

A: Solution of given question is written in below steps.

Q: Question 3 ( ) Evaluate the integral Il ² D - y dA where D is the region bounded by the curves y =…

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Q: I Given that = 10 and y=7 and the angle between and vis. The dot product of the vectors u-v = =…

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Q: nt The formula A = P 1 + describes the accumulated value, A, of a sum of money, P, the principal,…

A: Use given formula

Q: Calculate the integral, assuming that fo f(x) dx = -4, f f(x) dx = 4, f f(x) dx = 7. (Use symbolic…

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Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

Q: Evaluate the following sums. 9 a. Σκ k=1 a. 9 b. Σκ k=1 9 Σ κ= k k = 1 (Type an integer or a…

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Q: Find the critical numbers of the function :

A: For finding the critical number, find the derivative of function and set to zero.

Q: Question 13 of 20 View Policies Current Attempt in Progress Determine whether the statement is true…

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Q: Find the horizontal and vertical asymptotic for f(x)= x^3 / (4-x^2)

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Q: Graph the integrand and use known area formulas to evaluate the integral. 4 ja S (10-|x) dx -4 Use…

A: Topic = Area

Q: Use the method above to find a second independent solution of the equation ty" - y' + 4t³y = 0, t >…

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Q: Find the general solution of the differential equation. y(4) +12y" + 36y = 0. NOTE: Use C₁, C2, C3,…

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Q: Find the limit. Ilm (x + 7)

A: We can find the limit as below.

Q: Find the slope of the line tangent to the polar curve at the given points. 7-49 cos26. (0.7). (0.-)…

A: Slope of the tangent line at given point for curve r2=49cos2θ

Q: Evaluate the line integral, where C is the given curve. [x² x sin(y) ds, C is the line segment from…

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Q: Ind the one-sided limit (if it 1 Ilm *--5+X+5

A: topic:-  limits

Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

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Q: Using the trigonometric substitution x = 6 cos 0, 0 < 0 < π, the integral √36-x² x² In cos 0 + C O…

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Q: In problems below, (a) identify the independent variable (use 't' for the independent variable if an…

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Q: Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1,1₂ = -4,13 = 7, and A4 = - 7. Use the following…

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Q: 3).   Draw the directional field for the differential equation. y' = 3y + xy

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Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

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Q: The loudness level of a sound, D, in decibels, is given by the formula D=10 log (10¹21), where I is…

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Q: Write the sum without sigma notation. Then evaluate the sum. 2 Σ k=1 40k k+3

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Q: Answer 3 Only

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Q: If f ' ' ( x ) = 2 , then f ( x ) is concave up at x = 2 . True OR False

A: f(x) is concave up at x= k if f"(k)&gt;0

Q: Question 1 of 20 o f(x) O View Policies Current Attempt in Progress Find a formula for a rational…

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Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: The objective of the question is evaluate the area by help of midpoint rule.

Q: Determine whether the following statement is true or false. If y = sin¹ (4x4), then = 16x³sin³ (4x4)…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(2,…

A: Given points, A(1,1,3) B(2,7,1) C(4,10,-6) D(3,4,-4) Let a,b,c,d, are position vectors of point…

Q: The cost dollars, for a video game developer to code g games can be represented by the function vig)…

A: The cost, in dollars, for a video game developer to code g games can be represented by the function…

Q: i) Find the exact length of the curve 1 15 4x3 y y = ii) Find the exact area of the surface obtained…

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Q: An online retail company determined that their cost for each day, x, can be determined by the…

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Q: 11. (a) Find F'(x) using the limit definition of the derivative if F(x) = F'(x) will result in zero…

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Q: 5 [³ (Use symbolic notation and fractions where neede Calculate the integral, assuming that f(x)dx=

A: topic:- integration

Q: The integeral costat is used in the analysis of beam displacements (and in optics). Evaluate this…

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Q: 9. Let f(x) = 10 z+12 2 10 For each of the following limits involving f, either evaluate the limit…

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Choose the expression that completes the following equation so that it is an identity. tanx+cotr = O…

A: Given,  tan(x)+cot(x)=sin(x)cos(x)+cos(x)sin(x)                        =sin2(x)+cos2(x)cos(x).sin(x)…

Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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Q: Find the limit. 4 Ilm x3 52 5

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Q: Find the first three nonzero terms of the Taylor expansion for the given function and given value of…

A: We have to find the Taylor series expansion.

Q: Find the absolute extrema of the function. et². 9 - h(x) = on [-3, 3] Absolute maximum value: (No…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Find the Tangent vector, the Normal vector, and the Binormal vector (T, N and B) for the curve r(t)…

A: This question can be solved using the concept of vectors and derivatives.

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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