Find lim X X1 X-1

Q: State the Intermediate Value Theorem. Use it to show that the equation f (x) =x5 +10x +1 =0 has a…

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Q: 3. Calculate the integrals x-4 (2) S₁x2² -5x + 6² -dx

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Q: 4. At which points of the curve with equation y = x² is the tangent line parallel to the straight…

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Q: foxsinx COSX

A: Given, f(x)=x sin x cos x

Q: Consider the series 1 k²(k+1) k=1 (i) Use Test for Divergence to check if the sequence is convergent…

A: As per rule solve only 3 sub parts

Q: t (hours) 0 1 5 8 10 G(t) (thousands of gallons) 22 18.5 19.5 22 24 A gasoline storage tank is…

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Q: dx Q6 To evaluate x√4x² 07 C dx we substitute x = (0) ² 1/x+11 (A)sin x (B)cos x (A) sin 8 (B) Zcose…

A: To identify which substitution can made to solve the given integral

Q: Find the surface area of revolution about the x-axis of y = 6 sin(6x) over the interval 0 ≤ x ≤ K6 π

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Q: Problem 3. An insulated heated rod with a uniform heat source can be modeled with the Poisson…

A: Given: An insulated heated rod with a uniform source can be modeled with the poisson equation:…

Q: Find the acceleration r(t) = t³i+4tj-t²k of a particle moving along the curve at t=1.

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Q: 6. A manufacturer of aluminum doors currently sells 500 doors per week at a price of $ 80 each. If…

A: It is given that the manufacturer sold 500 doors per week .The price of a door is $80.Price is…

Q: (ii) (iii) Σ(-3) n=1 n=1 2 7+2 12 η2 +η

A: The given series are ii) ∑n=1∞-27n+2 iii) ∑n=1∞12n2+n. We have to find the convergence of the series…

Q: 6 · log4 (x³) + 4 · log4 ( 5 ) − 6 · log4 (16) = log4 (xªy²) for the values . . α = B =

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Q: Find the derivative of the following function using the Fundamental Theorem of Calculus. F'(x) = 9-1…

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Q: 465. VA 10.5 8.75 7 5.25 3.5- 1.75 -10 -7.5 -5 -2.5 -3.5- -5.25 -7 -8.75 -10.5- (A) f(x)=-8 sin(x)…

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Q: A deli sells 640 sandwiches per day at a price of $8 each.   ​(A) A market survey shows that for…

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Q: Find the curvature K(t) for r(t)=i+2tj +37²k at t = 0.

A: To find the cutvature kt for rt=i+2tj+3t2k at t=0.

Q: = f, g [a, b] → R be two functions, each continuous on [a, b] and differen- Ole on (a, b), with g(b)…

A: we will find the required

Q: Given the points M(1,-1,3), N(3, 0, 5) and P(p, p, p). Determine the value of p if MN is orthogonal…

A: here this is question of geometry  three point are given  we have to find value of one point…

Q: Write the given function as the composition of two functions. y = -√√14+4) 4x Choose the correct…

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Q: Find, if possible, A + B, A- B, 2A, 2A-B, and B+ A. (If not possible, enter IMPOSSIBLE in any single…

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Q: ✓ Solve the equation y(x + 1) = x(y² + 1)

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Q: Find, if possible, A + B, A- B, 2A, 2A B, and B + +ZA. A. (If not possible, enter IMPOSSIBLE in any…

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Q: You are serving 40 mixed green salads, each requiring 2 Tbl. of Italian dressing.  How many cups of…

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Q: dy a) -2y=e³x, y(0) = 4 dx b) xy' +y = 3x², y(1) = 4

A: (a) given  differenial equation is dydx-2y=e3x      and   y(0)= 4 since it is linear differential…

Q: The set of zeros of f(x) = x³ + 4x² + 4x is (B) {0, -2} (C) {0, 2} (D) {2} (A){-2}

A: find the zeros of the function fx=x3+4x2+4x

Q: N DETAILS explain how ath the beginning did we found that new york factory equal…

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Q: Is known f(x,y) = x3y2 = - 426 x3 05 f Determine дугдхдуг

A: Given: fx, y=x3y2-4y6x3To determine ∂5f∂y2∂x∂y2.

Q: SO Show that the equation 2x + cos x = 0 has at most one solution. = 2x + cosx. If ab, is it…

A: We will prove the required.

Q: The marginal average cost of producing x digital sports watches is given by the function C′(x)​,…

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Q: dz Find given: dt 1= te xe, x =t*, y = -1+5t t³, 3t²e5t−5+25t³e5t – 5 dz dt = 11 X

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Q: (2) x²+x+y² =2023

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Q: d the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: We will find the required.

Q: 6. The domain of g(x) = (A) x ≤ 2, x = 0,1 √x-2 x²-x IS (B) x ≤ 2 (C) x ≥ 2 (D) x > 2

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Q: 7. The demand function for a product is given by q = 250 - 0.5p. a. Determine the price levels for…

A: The demand function is given as: q=250-0.5p In order to find the price level for which demand…

Q: 6. Answer the same questions as in the previous exercise for the function f(x)=e-²/2 a. Determine…

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Q: table. differentiable functions f and g have the values shown in the x 0 1 2 3 18. If D = then D'(1)…

A: Given :- D=1g To find:- D'1

Q: A twice-differentiable function f is defined for all real numbers x. The derivative of the function…

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Q: 3. When a person takes a drug, one can measure the number of milligrams of the drug in a person's…

A: Need to write down the value of A, the value of B, etc.

Q: Find the surface area of revolution about the x-axis of y = 4x + 7 over the interval 1 ≤ x ≤ 3

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Q: Find the derivative of the given expression. Answer f'(x) = f(x) = 14x4 Table

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Q: The sequence a,,a,a...... is defined as a₁ =n² +3n nez' i. Find the first four terms of the…

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Q: Find the derivative of the given expression. 11.³

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Q: Determine which property of determinants the equation illustrates. 2 2 4 = -1 O If one row of a…

A: We have to determine which property of determinants the equation illustrates.

Q: 28. Find the derivative f'(x) for each of the following function. (1) f(x)=(2x-1)² (2) f(x)=e¹+x-lnx

A: To find the derivative f'x for each of the following function.1 fx=2x-122 fx=ex+x-ln x

Q: მ2 მყ

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Q: A rectangle is constructed with its base on the diameter of a semicircle with radius of 6 feet and…

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Q: Calculate the simple interest earned. Round to the nearest cent. P = $2900, r = 5%, t = 1 year

A: We have given  P = $2900 r = 5% t = 1 year  Using formula for simple interest  I=p×r×t100…

Q: 11. A curve is implicitly defined by the equation 2y = 1 + xy³. a. Check that (1, 1) is a point on…

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Q: Find the 3rd degree Maclaurin Approximations for  e^x and tanx.

A: Given :extanx