Determine each of the following limits using any technique, 3x-2x x-0 7x-4x b. lim (In(x)) a. lim c. lim x1/x= x → 00

Q: 5. Find the volume generated revolving about the x-axis of the area bounded by the curve y = x³ and…

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

Q: Find the exact slope of the tangent line to the 5 cos(t) 2 sin(t) parametric curve t co/= 3 X { y =…

A: slope is  dydxdydx=dydtdxdtdsintdt=costdcostdt=-sint

Q: 4. Find the arc length of the parametric curve x = t. sint y = t· cost 0 ≤t≤1

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Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

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Q: 4) -- 6 Quadrant Reference Angle Tan(-) =

A: Reference angle is the smallest possible angle between the x-axis and the terminal side.

Q: The solution of the D.E. xdy - ydx = x² + y²dx is 2 a. y-√√x² + y² = cx² O (a). c. y+√√x² + y² + cx²…

A: Given: xdy-ydx=x2+y2dx

Q: Evaluate 1. limit 2. limit = -3 3. limit does not exist 4. limit x+1 lim x⇒−1 x² – 3x − 4˚ 1 5.…

A: Given: limx→-1x+1x2-3x-4

Q: Let f(x) = 3x + 3 and g(x) = 4x² + 2x. After simplifying, (fg)(x) = 12x2 + 6x +3 X

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the exact value of each of the following under the given conditions. a. cos (α + B) b. sin (x +…

A: Explanation of the answer is as follows

Q: Let x and y be two positive numbers whose sum is 175. Determine the values of x and y such that (x +…

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Q: The general solution of the D.E. (x³ + 3xy²)dx + (3x²y + y³)dy = 0 is a. (x² + 6x²y² + y4) = c O (a)…

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Q: Find an equation of the tangent plane to +In (2x-2) at the the surface 2² point (1,1,1)

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Q: Find each limit, if it exists. If the limit does not exist, explain why, lim (x³ + 2)(x² - 5x) x-3 x…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C'(x) = 40x + 715…

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Q: Given that sinθ=√75/10sinθ=7510 and cotθcotθ is negative, determine θ and cotθ. Enter the angle θ in…

A: To find the angle θ and the value of cotθ

Q: 25x-2 dx 7.) Si3ex

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Q: 2) Evaluate surface z dv where E is the region enclosed by the Z = x² + y² and the plane Z = 1

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Q: Find the indicated sidex of the triangle ABC given in the graph X = 34° I

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Q: 15. Let f(x): = 4 e 1 and g(x)= 3x x + 5 Find the domain of (fg)(x).

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Q: an || 2 2n+1

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Q: Given: f(x, y) = x³y +exy ² 9. find fxy b. find a³f ayayax

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Q: 81 81 Suppose that a₁ = 24 and b₁ = 30. Compute the sum. Σ i=1 i=1 81 Σ (6a; +23b₂) i=1

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Q: 9 -9 0 √√81-x2 dy dx

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Q: Find the domain and range of y = log7(4 + 3x) + 12.

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Q: Example 4. A man is walking along a straight path at a speed of 3 ft. A S searchlight is located on…

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Q: Given the function: a. Find f'(x) and f"(x) b. Determine the following properties of the graph of f.…

A: Please see the below picture for detailed solution.

Q: If the marginal cost for ski gloves is C'(x) = 5.5x + 10.5 and C(0) = 351, find the cost function…

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Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A: We have to find the number of terms of the given convergent series that must be summed.

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) x6 + 6,000x³ +…

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Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. [°…

A: Here is the solution:

Q: -8 -6 -15 4-5 S 4 + Ox O Using the graph of f(x) above, answer the following. If a limit or…

A: Given Graph:-

Q: h(t) = 4e5t-7t-3 Determine the value of h'(-1).

A: Given query is to find indicated derivative.

Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given interval and find…

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Q: Let f(x) be defined such that f(2)= 3 and f'(x) = cos(- = cos(+ +x), where 1<x< 4. Part A: Find the…

A: Given: The function fx is defined such that f2=3 and f'x=cos1x2+x, where 1&lt;x&lt;4. Part A: Using…

Q: Determine if p2 – 5+4 lim x1 x² + 4x - 5

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Q: - [P] = [In(1+1²)] dt = IP xp J (e) (d)

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Q: Find the area enclosed by the ellipse a cos(t), y = b sin(t) with 0 ≤ t ≤ 2.

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Q: The derivative of cos²x - sin² x 01 sin x cos x sin² x - cos x sin² x sin x cos²x t² dt is cos x…

A: Given query is find the derivative.

Q: Suppose we have the force field F =. Find the work required to move an object > for 0 ≤ t ≤ 2m. on…

A: Given that , F=-y , x , z and rt=2cost , 2sint , t2π      ,    0≤t≤2π find the word required ?

Q: Find the area of a triangle with sides of length 12 and 30 and included angle 78 degrees. wer is

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Q: ze pu хе and Ze ле of ye"- 5 sin 32 32

A: Given query is to find indicated derivative.

Q: A triangular parcel of land has sides of lengths 920 feet, 330 feet and 914 feet. a) What is the…

A: Given length of side of triangle 920ft, 330ft, 914ft We will use Herons formula to find area…

Q: 3. A farmer has a plot of land bordering an extremely straight river bank. The farmer wants to…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangular plot y=length…

Q: Suppose that C = f(x, t) = 22te-(6-2)t represents the concentration (in mg/liter) of a drug in the…

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Q: On which open intervals is the function f(x) upward? -2x decreasing and concave

A: Please see the below picture for detailed solution.

Q: Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = = 4x + y = -2x + 2y

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Q: Suppose that a particle moves along a straight line with acceleration defined by a(t) = t - 5/2 in…

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Q: and and simplify the expression and yd Booze (Cos+isin)³ ress the answer in standard form, a + bi.

A: Given query is to find the a+ib form.

Q: Evaluate the definite integrals using substitution 1.) ²3√5x-1dx

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