Given the triangle 28/ 11° X 28 final answer to 4 decimal places. I= find the length of side using the Law of Cosines. Round your

Q: Solve the given initial-value problem. dx dt dy = 25x - y dt x(1) = 0, y(1) = 1 x(t) = 0 = -11x - y…

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Q: f(x)=1/x-7 find an equation of the tangent line at the point (-2,-1/9)

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: - Evaluate sin x dx using 3 i. Trapezoidal rule ii. Simpson's rule iii. Simpson's rule, taking n = 6

A: We have to evaluate ∫0π2sin x dx. Here a=0 and b=π2=1.570796 Given n=6 ∴ h = b-an = 1.570796-06 =…

Q: 10 -8 1 I 1 1 1 1 -6 T 1 I T 1 1 1 I 1 1 i 1 i 1 1 1 i 1 1 1 N 1 1 i +14+kw 12 10 8- 6- 2 -2 -4- -6-…

A: Given

Q: For the cubic polynomial function f(x) = ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

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

Q: 7.) A lot in the shape of a quadrant of a circle of radius 100m. Find the area of the largest…

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Q: The cost of producing z units of a commodity is given by C(z) = 140 + 15z - 0.8a marginal cost…

A: We will find the marginal cost function.

Q: Calculate M6 for f(x) = √√2x over [3, 6]. (Use decimal notation. Give your answer to two decimal…

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Q: the critical points, local e(s) and sat f(x, y) = 6x+4y+x² + y². Then find the maximum rate of…

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Q: (1 + 2.6) ² an = (1 +

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Q: Question 5 (a) Find an equation of the curve that passes through the point (0, -2) and whose slope…

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Q: A fast food restaurant can produce a hamburger for $1.35. If the restaurant's daily sales are…

A: Multiply the number of burgers increasing per day with the cose of 1 burger.

Q: Find linearly independent functions that are annihilated by the given differential operator. (Give…

A: The characteristics equation is (m-3)(4m+5)=0. So,                   m-34m+5=0⇒m-3=0  or…

Q: 8) Use the functions f(x) = x² and g(x) = √2-x to find the specified function its domain: a.…

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Q: Choose the gradient of the function : f(x, y) = ex² Select one: O None of these ○ (6ye+²+³y², 2xer²…

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Q: The shape of a colony of bacteria on a Petri dish is circular. Find the approximate increase in its…

A: Follow the procedure given below.

Q: 8-x-1² if x 2 Calculate the following limits. Enter "DNE" if the limit does not exis f(x) Let f(x)…

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Q: A function fis defined by that is, its coefficients are a = 5 and ₁+1 = 9 for all n 20. Find an…

A: Let's find explicit formula of given function.

Q: Use implicit differentiation to find y', and then evaluate y' for x²y - 3x³ + 8 = 0 at the point…

A: We have to find out derivative

Q: (a) Find the length of the curve y=[^ √√√²-1dt, 1≤x≤ 16.

A: To find the length of the curve.

Q: Given f(x)=2+3x²-x² i. Find the coordinates of all local extrema. ii. iii. Identify the extrema…

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Q: Find the derivative of the function f(x) = (3x² – 2x³ O f'(x) = (12x³ - 6x²) ³/2 f'(x) = O 3 f'(x)=…

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Q: (a) Find the volume of the solids generated by revolving the region bounded by the curves y=z²+1,…

A: To solve the following problem of finding volume using washer method.

Q: Find the work done by the force field F on a particle moving along the given path. F(x, y) = xi +…

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Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: 5. Find the divergence and curl of the vector field F(x, y, z) = (xy - 2², 2x+cos(yz), 2y² - sinz)…

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Q: For the function f(x) solving f(x): = 0. Type in x_n for n Xn+1 = - x² - 4, write Newton's formula…

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Q: Find the gradient vector of the function f(x,y) =. Select one: O None of the others. - O O + 6xy,…

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Q: Its saying the solution is wrong

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Q: an = (1 + 2,60) ² = n

A: We want to know whether the given sequence is convergent or not

Q: Consider a projectile launched at a heighth feet above the ground and at an angle with the…

A: The parametric equation of the position of the ball is given by…

Q: Use the Ratio Test to determine whether Identify an Σ n = 1 (2n)! 2n Evaluate the following limit.…

A: Solve the following

Q: If the revenue function for a particular commodity is R(p) = q(p) = Give a reason for your answer. R…

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Q: Question Given the functions below, find the domain of (fog)(x). 1 -10x-7 Select the correct answer…

A: Here is the solution:

Q: V. Consider the power series +∞0 n=1 (x + 1)" +1 1. Determine whether the resulting series when x =…

A: We need to find convergence and radius of convergence.

Q: bn = n' ебп

A: Here, the given sequence is bn where bn=nne6n

Q: 2. A differential equation that is a function of x only O will produce a slope field with parallel…

A: Here, given that the differential equation is a function of x only. So, dydx=f(x)⇒y=F(x)+C, where…

Q: Replace ? with an expression that will make the equation valid. -(7x + 5)² = 8(7x+5)7 ? dx The…

A: d(7x+5)8dx=8(7x+5)7? we can find the derivative by chain rule;

Q: Use the point on the line and the slope of the line to find three additional points that the line…

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Q: Identify the function that matches the graph except at x = 2. 5 4 3 2 1- -54-3 -2 -1 -1 -2 + --4 + 1…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find a linear equation that expresses the relationship between the temperature in degrees Celsius C…

A: The water freezes at 0°C  is (32°F) and boils at 100°C (212°F)

Q: 3. Divergent or convergent sequences. For each of the sequences below, enter either di- verges if…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: i) Find the exact length of the curve y X y = 2 X + — ii) Find the exact area of the surface…

A: Let's find exact length and area of surface.

Q: Estimate the instantaneous rate of change of y(x) = 2x² + 2 at the point: In other words, choose…

A: To estimate the instantaneous rate of change of yx=2x2+2 at the point: x=-2.

Q: Given: f(x) = x³ – 6x² − 15x + 7. Find the LOCAL MINIMUM point of f (x). A. (5, ƒ (5)) B. (−1, ƒ…

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Q: What is the value of the integral Select one: O 64 O 16 O None of these O 32 08 0 X 2xydydx?

A: Given: I=∫04∫x42xydydx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: d the length of the dashed zig-zag path in the following figure. X+ 0.75+ 0.5+ 0.25+ 00.25 0.5 0.75…

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Q: 5. Find the specific solution of the differential equation Oy=ex² O y=-1- ²³/2 O y=-ex None of these…

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Q: 1. Limits of five sequences. Match the formulas with the descriptions of the behavior of the…

A: To find the behayof given sequences.