a) f(x) = = Using logarithmic differentiation find f'(x) if 42x+1 1-3x

Q: Find the order and degree of the differential equation 1 5 (y"')³ = k[1 + (y")²]³

A: Given :y'''13=k1+y''252

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A: We will use substitution method to solve this integral.

Q: Q. A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7…

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

Q: 1. Find the angle between vectors w=-37+√3 and v= Answer: 0 = 5π 6 = v = (√3₁-3) 150⁰

A: To find the angle between vectors w→=-3i→+3j→ and v→=3, -3.

Q: 2 2 (2² * = ³) - ² (²3) = ( % -3²) 2 X 4 -6 8 a. b. C. 486 9

A: Topic:- application of algebra

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Q: ermine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) +² + 6x + 9 g(x) = 6x + 25 -10 -5 y…

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Q: Applications of integrals destion 30, Instructor-created question The marginal cost for a company to…

A: Topic:- application of algebra

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Q: A curling iron is plugged into an outlet at time t = 0. Its temperature T in degrees Fahrenheit,…

A: I have appended the formula used in the solution part of the question

Q: Use the chain rule to find First the pieces: dz da ?х Əs dy Əs And putting it all together: dz Əs Əz…

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Q: A migrating salmon heads in the direction N 45° E, swimming at 3 mi/h relative to the water. The…

A: A migrating salmon heads in the direction N45°E, swimming at 3 mi/h relative to the  water. The…

Q: Evaluate the definite integrals for a) b) S/A C) π/6 -9 cos x dx = 8 sec² 0 do = 10 csc t cott dt =

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Q: (a) Compute s3 of 0.0408 2 n19n6 (b) Estimate the error in using $3 as an approximation of the sum…

A: ∫xn dx = xn + 1/(n + 1) + C

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Q: (4) (a) Determine the a,, so that the equation Σ' (b) Try to identify the function represented by…

A: The given equation: ∑n=1∞nanxn-1+2∑n=0∞anxn=0

Q: ots. S=C₁e-t + c₂e²t + c3e6t+₁е-5t O a. 2,-1,6, -5 O b. -2,-1,-5,6 O c. 5,-1, 2, 6 O d. 2,-1,2,6

A: Topic:- application of differential equations

Q: 5. Use the Laplace transform to solve the initial value problem. y"+y'-2y=2e³, y(0)=-1, y'(0) = 4

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Q: A company determines that monthly sales​ S(t), in thousands of​ dollars, after t months of marketing…

A: Given  S(t) = 3t3−55t2+300t+140

Q: 5 b [₁² (²x - 7)²¹ dx = [²) vhere = 2x-7 du = 2 7 = -5 = 3 f(u) = 1/10 f(u) du The value of the…

A: Given query is to solve the integral.

Q: Find d dx (45x+6)

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Q: Given that  f(x)=−3e^x+1−x^2, what is the anti-derivative of f(x)?

A: Solve the following

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: We have to find out the limit

Q: 2. If cot 0: = 3 −³ and 90° < 0 < 180°, find sin 0.

A: The answer is in step 2.

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A: Demand: Demand is the willingness and ability of a consumer to pay for a product at a particular…

Q: Let f(x) = = f'(x) = - 2 log(x) ƒ' (5) Round to 4 decimal places if needed. =

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Q: Consider the two points (5, 8) and (10, – 9). The distance between them is:

A: FORMULA FOR THE distance between two points is if points are (x1,y1) and (x2,y2) then…

Q: Find the indicated trapezoid rule approximation to the following integral. 3 Sex dx using n = 8…

A: Given Integral:- ∫23e-xdx

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Q: Find the general indefinite integral ∫ v(v2 + 2)2 dv  *please use handwriting not typing, I…

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Q: Find the general indefinite integral ∫ (√x3 + ∛x2) dx  Note: the entire x3 term is under the…

A: Given: ∫ (√x3 + ∛x2) dx

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A: Let center of circle (h, k) and radius r

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A: NOTE: Refresh your page if you can't see any equations. . here we have  A=1000000 (future value)…

Q: Find the area of the region. y = 16 - x4 15 10

A: Area of the shaded region Area ( A ) = ∫x1x2ydxGiven y = 16 - x4

Q: Suppose we have the following Production Function: Q = L^0.25 K^0.75 Calculate the Marginal…

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Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

A: x=-8-5ty=-5-tt=-5-y  put value of t in x

Q: Find the slope of the tangent line to the curve 2xy - 3y³ = -9 - -4x² - at the point (2, -1).

A: NOTE: Refresh your page if you can't see any equations. . the given curve is  and the given point…

Q: Find the distance between the points (1,0) and (-5,5). Round to at least the nearest hundreth.…

A: NOTE: Refresh your page if you can't see any equations. . two points are

Q: 5-14 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 6.)…

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Q: Question 11 Calculate V. v and V x v. v(x, y) = 5yzi + 6 xzj + 4xyk

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Q: B. f"(x)=8x³ +5, ƒ(1)=0, ƒ'(1)=8

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A: According to question,Given Functions,fx = x2 + 20≤x≤5,Rotation about x =5

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A: Note: Since you have posted a question with multiple subparts we will solve the first three subparts…

Q: Locate all the critical points of the function f(x, y) = 6x - x² 3xy². (If there are several points,…

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Q: 1. The equation x² + y² = 1 defines the unit circle with its centre at the origin. The circle passes…

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Q: Describe the domain of the function f(x)=√(15x^2+x-2).

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