Question Find dy and evaluate when a (Enter an exact answer.) Provide your answer below: dy = = -5 and da 0.4 for the function y 4 2x4 5x+1 FEEDBACK MORE INSTRUCTION SUBMIT

Q: Evaluate the following limits. Show complete work x² - 4 X-2 X-2 a) lim b) lim (√x²+1-x) X→∞

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Q: 1 The volume of a right circular cone of radius a and height y is given by V = ²y. 3 when x = 6 and…

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Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Ju ox Əv oy 으 0x1 10/24 0 어 xiye Ug xzty? zi @u + v = oxy UXO u ox + Ju ag - = U - (x+y? +c)2c +…

A: Differentiate partially with respect to x and y

Q: If f(x) = 4 cos(2 ln(x)), find ƒ'(x). Find f'(5) rounded to 3 decimal places.

A: Given function f(x)=4cos(2ln(x))

Q: f(2x. (2x + 6)5 dx 0 (2x+6)6+ C 2 H|M 3 12 (2x + 6)6 + C (2x + 6)6 + C (2x + 6)6 + C

A: A detailed solution is given below.

Q: Fill in the blank. (Enter your answer in terms of t.) 1 e-{2}- L²s² + n²π² 2_2

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Q: Given: F(s) = (2s+3)/(s² -2s +5). Evaluate: f(1) Use 2 decimal places. 5.67

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Q: 8] n=1 1 n√n +1

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Q: If A and B are square matrices of the same size, then it is always the case that AB=BA.

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: If y = f(x), f'(x), (f(x+h)-f(x)) and slope of the tangent to the curve of f(x), h lim h→0 they all…

A: if y = f(x) Then,  By first principle of derivative

Q: Use Divergence Theorem to evaluate SF. Nds and find the outward flux of F(x,y,z) = xi+y²j−zk through…

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Q: For any vectors u, v and w, show that uxv=uxw does not always imply v = w. Prove that u v ≤ ulv, and…

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Q: Fill in the blank. (Enter your answer in terms of t.) 1 "ਜ + na =

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Q: 6)    State whether the series converges absolutely, conditionally, or not at all. ∞ n = 1 (−1)n +…

A: The given series is ∑n=1∞(-1)n+1n+9

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

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Q: 811. Given a geometric figure, one can ask for its centroid, which is - roughly speaking - the…

A: Given:  A unit semi circle.  We need to find the y co-ordinate of the centroid of the unit…

Q: The shaded area bounded by y=x^2 and y=x^3 is 0.016 0.083 O 0.055 O 0.16 (1, 1)

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Q: ANSWERS Newton's law of cooling states that the temperature of an object changes at a rate…

A: We will find the required solution.

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}…

A: Given function f(t)=(et-e-t)2  f(t)=e2t+e-2t-2×et×e-tf(t)=e2t+e-2t-2   Formula L(eat)=1s-aL(c)=cs

Q: Find the divergence of F(x, y, z)= x î+y³ ₂² 7 +xz³ k. O1+3y²z²+3xz O1+3y²z²+3xz² 01+3y²₂² O 1

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Q: Use implicit differentiation to find y² + 8x³ = 6y − 9x² - dy dx dy dx

A: Given, y2+8x3=6y-9x2

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. Image Added…

A: Given a sequence 41,72,106,1324,16120,... We need to find the value of nth term. We will check the…

Q: a) b) z c) 5√5 d) none 5√5 18. Find the ranges of values of x for which the curve y = x4 - 6x³ +…

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Q: Find an appropriate elementary matrix for each of the following transformations: 1 2 1 2 2 4 1 2 •-)…

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Q: Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x)…

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Q: Use the Laplace transform to solve the given initial-value problem. y"" + 2y" y' - 2y = sin(4t),…

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Q: ate the following integral using integration by parts. 4x sin x cos x dx u=4x sin x. Use the…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-tj² L{f(t)}…

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Q: Given: F(s) = (5s+6)/(s²+9). Evaluate: f(1)

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Q: Which do you think will be larger, the average value of f(x, y) = xy over the square 0 ≤ x ≤ 1,0 ≤ y…

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Q: 20 29t2 +42t represents the position function for a particle moving The function s(t) = along a line…

A: The given function is: s(t)=203t3-29t2+42t  where t∈0, 6 v(t)=d(s(t))dt=d203t3-29t2+42tdt=20t2…

Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₂ = x + 2…

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Q: Screenshot (16 Find the solution of the given initial value problem in explicit form. 1 y' = (1 -…

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Q: 3. Pedro walks at te speed of 40 meters/min from the school to home, by taking the longer route of…

A: Pedro walks at the speed of 40m/min from the school to home,by taking longer route of 100 m to the…

Q: Find the vector v whose initial and terminal points are given below. (5.5,2.1), (9.5, 6.1)

A: Recall: The vector v with initial point (x1,y1) and terminal point (x2,y2) is, v=x2-x1, y2-y1 We…

Q: Find the vertices and foci of the hyperbola. 4x² - y² - 24x - 2y + 31 = 0 vertices smaller x-value…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Screenshot (168 Screenshot (168 Determine whether the differential equation (2x² − 2xy + 3) dx +…

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Q: the degree of the following polynomials functions: a. f(x) = x^5  b. f(x) = (x^2)^3  c. A cubic…

A: Given the query is to find the degree of the polynomial.

Q: If u = x-y and v=x+y, then find the Jacobian matrix. о о о 312112342

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Q: (Q8.6) Choose five other iterated integrals that are equal to the given iterated integral. 10 10 10…

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Q: Evaluate (0₂2). [(x² + y² ]ds along the path C, defined as counterclockwise along the circle x² + y²…

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Q: Graph the function. What symmetries, if any, does the graph have? Specify the open intervals over…

A: Topic = Function

Q: Consider the function f(x) = 2x³ 12x² 30x + 7 on the interval [-4, 7]. Find the average or mean…

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Q: 7. Evaluate I = S ads, where S is the part of the plane x+y+z = a lying in the first octant.

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Q: 1. Solve the Question Integral Sub Parts 1 A-C [cos¯¹x{√√(1-x²)}]¯¹ sin 2x (1-x2) A.S. log 1+ IL B.…

A: Disclaimer: since you have asked multiple question , we will only first for you.if you wants to be…

Q: valuate the integral 1₁ To xy”ddy. o 25 4 105 4 ) 15 4 D 135 4

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Q: Solve the given Bernoulli equation by using this substitution. O O O y = ± y = ± y = ± y = ± y = ±…

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Q: Use Green's Theorem to evaluate the line integral along the positively oriented curve C that is the…

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Q: How long will it take for an investment of $3,000 to double in value if the interest rate is 6.5%…

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