lim X+0 2-√ 4-X² x ²

Q: f(x)= x/pi + pi/2+ pi/x + 2/pi Find the derivative

A: Let f(x)= x+a, a is a constant So, f'(x)=1

Q: 5. It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to…

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Q: 106) Iff"(x) and (c,f(c)) is the point lying on the curve for which F(c) is maximum, then f'(c) is…

A: If f''x<0 ∀ x∈a,b and c is a point such that a<c<b, and c,fc is the point lying on the…

Q: We have found the following complementary function for the given differential equation. Yc=c₁₂e-x+…

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Q: 4. An apple orchard has an average yield of 36 bushels of apples per tree in the tree density is 22…

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Q: Find the absolute extreme values of the function on the interval. F(x)= == 3 21 0.5≤x≤2 OA. absolute…

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Q: For the function f(x) = 2x² +1, it is given that 6.². ſª f(x) dx = At what value c does the function…

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Q: Rewrite the expression as a single logarithm. In 8-In 4 ○ In√2 ○ In (2)-6 咖啡 °)

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Q: 3. A white wine at room temperature 70° F is chilled in ice (32°F). If it takes 15 minutes for the…

A: The solution is given below

Q: 1. Find the area of the region bounded by the curves y=sin X16 , y = 0, and x = 6 obtained by…

A: topic - Area bounded by curves

Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y' + 2y = Step 1 We are…

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Q: x, evaluate each expression.

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Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁: -30x + 120y + 60z…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: 3 y = (x² +1) ² Find day dx ²

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Q: Consider the following. u = −7i - 2j - 4k, V = 4j + 4k (a) Find the projection of u onto v.

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Q: ct rit Find the x-value of all points where the function below has any relative extrema. Find the…

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Q: Average Cost Jesaki Water Sports incurs the following costs in producing a water ski vests in one…

A: Here we have to use the concept of derivatives

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: (2x +3y) dx + (y +2) dy = 0

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Q: Evaluate f xdx (x²+1)²

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Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

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Q: Solve the following two Euler's differential equations: (a) x²y" - 7xy' + 16y = 0 (b) x²y" + 3xy' +…

A: The given Euler's differential equations are a) x2y''-7xy'+16y=0b) x2y''+3xy'+4y=0

Q: Given f(x) below, find f'(x). f(x) = z" t' dt √z

A: See this solution in below

Q: Find the limit: lim (1- cos x) sin x+0+

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Q: 4. S 1 x²√√x²+4 dx

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Q: Complete parts a through f below to find nonnegative numbers x and y that satisfy the given…

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Q: Sketch the graph of the inverse function. -10t 3,3) 1,2) Ау 10- (04) 36 Q Q Choose the correct graph…

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Q: 8 20 ह n=0 77+1 A. The series converges. Its sum is B. The series diverges.

A: The objective of the question is determine the sum of the geometric series.

Q: Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8 approximating…

A: Given question:- Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8…

Q: e 1 Determine the equation of the tangent line y=x=2( at x

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Q: A x Given that cosa= and 0 <a<, determine the exact value of cos 3 A cos = (Simplify your answer,…

A: All trigonometry ratio are positive in first quadrant .

Q: u = -7i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -6 2 (b) Find the vector…

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Q: all company of science writers found that its rate of profit (in thousands of dollars) after t years…

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Q: question#22

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Q: Find the general solution of the given higher-order differential equation. y""+ 2y" 16y'- 32y = 0…

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Q: Evaluate lim 74 x →0 COS 218

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Q: What is the original price of P1,743,759 discounted price at 22% discount?  (whole number)

A: discounted price = 1,743,759  discount rate = 22%  find original price = ?  this discounted price is…

Q: Consider the integral [ 92 (1) 64 3√z ſ** *³** ƒ(x, y)dydz. Sketch the region of integration and…

A: We can solve this as follows:

Q: 2 Solve the equation sinx= -2 sinx on the interval [0, 2x). О А. л 51 0, п. 6 6 O B. 7л 11 0, П, 6 6…

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Q: Complete the missing ones: (those highlighted ones) Integrate: 2x [cscs (²) dx SC 3 [csc (3) dx =…

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Q: Problem 2.3 Evaluate 2x² + 3x + 1 2x - 3 lim x-1 x².

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Q: What is the gradient of f(x, y, z) = x³₂² + y³z +125z - 1 at P(5,5,-1) ? 75i + 75k -75i - 75k 75i -…

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Q: Use the substitution u=x2+4 to evaluate the indefinite integral below. 2x(x2+4)8

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Q: MHF4U Name: Date 3. Erin travels north and south from Main Station. The distance, in km, of the…

A: We need to find time.

Q: PLEASE

A: As per policy only first question is answered. Please refer to the image below

Q: or m tid 4x x² + 1 The percent of concentration of a certain drug in the bloodstream x hours after…

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Q: Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: Determine the equation of the tangent line to x+1 22+1 at x = X= G

A: Given equation, y=x+1x2+1