Find da d.t da dt at x = 4 if y = 4x² – 1 and > Next Question dy dt = - 5.

Q: Ľv 3x² - 2x + 3. (3x - 1). dx O -4.87 -3.92 -2.22 O -1.67

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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 height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial…

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Q: Evaluate 09 9121IN N OC 2 01 2 1 2 I -1²-2 dydx.

A: Given query is to find the value of the integral.

Q: ล. b. TM8 M8 n=1 n=1 (−1)n-1(x - 1)n n2n n! (x − 3)” 272

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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: x²–2x (x+1)²* 3. Given the function f: x - a) Find the intervals on which f is increasing. b) Find…

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Q: Consider the following differential equation: y" + y = sinx - 2e and the following boundary…

A: The given differential equation is y''+y=sin x-2ex

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Find the total area of the shaded region. 1.5- 1- 0.5- 0 x=y³ 0.5 x = y² 1 (1,1) X 1.5 C The area is

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

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Q: h of the following numbers is the radius of convergence of the p xn n •2 (7· (~^)")² ? n! n=1 5 e √5…

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Q: 1- Maryam sits at the point on the curve y=(×+2)? where the normal to that curve is parallel to the…

A: 1st question's answer: If Maryam sits at the point on the curve y=x+2, then it's normal won't be…

Q: Find the definite integral that will compute for the volume of the solid when the region bounded by…

A: To find the definite integral that will compute the volume of the solid. Given information: The…

Q: -2 1. Ella thinks that if a function is positive over an interval, then its derivative is also…

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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: Given f''(x) = 2x + 5 and f'(0) = Find f'(x) and find f(3) = 1 and f(0) = = = -1.

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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: the answer

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Q: Which of the following functions are solutions of the differential equation y - 3y = 6 ? 0 O y = -2…

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Q: Please help need asap..answer both please and i will rate high

A: We have to choose the correct option from the given options according to the given infinite series

Q: Question Find the average value of f(x) Submit an exact answer using fractions and/or roots if…

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Q: xcsc (y/x) -y]dx + xdy=0 Prove that it is a Homogenous DE using homegeneity test (degree n) and…

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Q: Find div F and curl F if F(x, y, z) = x¹i − 6j + yzk. - div F= 7x + y curl F zi X

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Q: Match each of the following parametric Equations with a plane curve : x(t) = - 3t y(t) = 1 - 9t² TER…

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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: Determine whether the differential equation (7x² − 2xy + 6) dx + (7y² - x² + 7) dy = 0 is exact. If…

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Q: If y = f(x) + g(x), then y' = f'(x) g(x) + g'(x)f(x) True False

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Classify the given differential equation according to its type, order, degree, and linearity. J²u 8²…

A: Please see the below picture for detailed solution.

Q: ∞ f(x) = L n=1 (7-2x)" Sn

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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: For the function f(x) = 3x2 −x3 − 4 where −3 ≤ x ≤ 3, complete the following. 1. Find f′ and f′′.…

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Q: Calculate the vector area of the helicoid parameterised as follows: F(t, s) = (t cos s, t sin s, s)…

A: Please see the below pictures for detailed solution.

Q: If f(x, y) = ecosy, then find Ꭷ f Ꭷ2 f + Ox2 " dy2

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Q: 4 5 2 X -x.dx

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Q: sinx cosx 4 + sin4 x dx

A: The given integral is sinx cosx/(4+sin4x).

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

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Q: For the function f(x)=ln(1−5x)​, find the Taylor polynomials of orders​ 0, 1,​ 2, and 3 generated by…

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Q: D) lim f(x)=| 23 E) lim → 8 f(x) = F) lim f(x)= z 2

A: D) we know that, limx→3f(x)=limx→3+f(x)=limx→3-f(x)But limx→3+f(x)=2limx→3-f(x)=-1Since…

Q: Consider the points P(1,0,3) and Q(5, 2, -1), and the line 1: { x = -7 - 2t y=t z = 9+t

A: part :a

Q: Given the function graphed below, evaluate the definite integrals. - 4 3 یبا 3 2 1 -1 -2 3 [' = f(x)…

A: From the given graph, we have to find the value of the definite integrals.

Q: Solve the differential equation y'=1+5y subject to the initial condition y(0)=1. From your solution,…

A: Here we have to solve the differential equation.

Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Factor f(x) into linear factors. Don’t forget to include the leading…

A: Please see the below picture for detailed solution.

Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Rewrite f(x) using the Division Algorithm after having found one…

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Q: Find the particular solution of the differential equation that satisfies the initial equation= f(x)…

A: We have differential equation f"(x) = 7/x2  and initial conditions f'(1)=3 and f(1)=4

Q: Find F'(x). F (x) = 48 [아 dt t I F(x) =

A: To find out F'(x).

Q: Find the G.S. about xo = 0 for the following DE's (x²+4)y" + 2xy' - 12y = 0 1.

A: Please see the below pictures for detailed solution.

Q: Proof Prove that if A is an orthogonal matrix, then so are AT and A-1.

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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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