Find dy/dx: а. y = cos t dt

Q: dy = y + Vx² + y² dr Find the general solution of x-

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Q: Find the area enclosed by the curves y=2x², y=2\/x ,x=- and x = 1 4 (A) 45/51 (B) 49/96 59/76 (D)…

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Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the laplace…

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Q: If the derivative of f is f'(x) = (x – 1)(x + 2), then f is decreasing on (-2, 1) Select one: True…

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Q: Find an equation of the tangent line to the graph of y=g(x) at x=5 if g(x)=-6 and g’(5)=2. Answer…

A: We have to find equation of tangent line

Q: d. dt d Calculate ri(t) - r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly…

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Q: 3- f xvx2 +1 dx

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Q: Vear 2008 16,680 2010 16,858 2012 18,066 2014 21,366 2016 25,085 ind the average rate of growth (in…

A: formula for average rate of change

Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 - is

A: The given problem can be solved as follows:

Q: Find the extremum of z =x + y subject to x + 5y = 4. Set up the Bordered Hessian matrix to determine…

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Q: t2 + 5 1 lim →+∞\ 9t2 + 10' 2t (?, ?)

A: Given

Q: Given the following optimization problem: max(500-q)q-50q p*=275 O True O False

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Q: The​ temperature, T, in degrees​ Fahrenheit, in a​ car's radiator during the first 4 minutes of…

A: Let's find.

Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is…

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Q: p(x) = sin x cOs x Select the correct response. Otan x O cos? r - sin? r COS sin? x – cos? x 1

A: p(x) = sinx/cosx here i think question is sinx*cosx any of the answer is not possible so the…

Q: Solve the given differential equation. Ans: + cos x = c 1. y' +y2 sin x = 0 %3D y

A: The objective of the question is solving the differential equations.

Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: A spring whose natural length is 13cm exerts a force of 37N when stretched to a length of 18cm. (a)…

A: Given that the spring whose natural length is 13cm exerts a force of 37 N when stretched to a length…

Q: 6. y = 3x²V4x

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Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 9 sin…

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Q: Consider the differential equation y" – 11y" + 28y = 0 Write the auxiliary equation of the given…

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Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

A: Here, the exponential model is: A=A0e-kt...(1) Now, given that A0=300 mg. So,  A=300e-kt...(2)

Q: 1. /(x)=-4x-6 Slope: 1. f(x) - 5x - 4 y-int: Graph: Slope: y-int: Graph:

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given lines are, x=8t+2,y=3,z=-t+1And x=2s+2, y=2s+3, z=s+1⇒x-28=y-30=z-1-1=t…

Q: Find the area bounded by the curve y = 4x - x2 and the lines x = 0 and y = 4.

A: topic - area bounded by curves

Q: Does the series defined below converge or diverge? Give reasons for your answer. 5 a, = 5, an + 1=7n…

A: Here, the given terms are: a1=5, an+1=5nan So, a2=52a1=52(5)=522a3=52a2=52522=5322... So, an=5n2n-1

Q: 4-x Evaluate f dx. 16-x2

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Q: Provide a step-by-step solution to the following differential equation (linear quation) y' = x3 -…

A: I am attaching image so that you understand each and every step.

Q: Consider the differential equation y" – 11y" + 28y' = 0 Write the auxiliary equation of the given…

A: Given a higher order differential equation.

Q: 1. f'(x)dx if f(2) = 1 2. f(x) = S(x² + x – 3)dx if f (2) = 3 3. f(x) = S xe*dx if f(2) = 3 4. f(x)…

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Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

A: Given  a=3, b=8 and n=2

Q: 15 / 17 116% C. Directions: Solve for the derivative of the following functions using the indicated…

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Q: d Calculate r1(t) · r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly…

A: In this question we have to find differentiation.

Q: Solve

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Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: Find the arc length L of the graph of r(t). r(f) = t° i+ t j+V6r k, 3 <1 < 5 L = i

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Q: Find the arc length L of the graph of r(t). r(t) = 10 cos(t)i+ 10 sin(t)j+ tk, 0<t< 2n

A: To find the arc length of the given graph.

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim t-+0\ 9t2 + 10' t (?, ?)

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Q: Question 7 of 10 f (x) = x – 6x² + 9x - 2 Select the correct response 2.x2 + 12x – 9 - 6x - 12 372 –…

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Q: E =E RT In a nF E 2.303 RT EXplain how the con Version 3. Prom in to loe was made and. the humber…

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Q: Use Implicit Differentiation to find dy/dx where 2xy + x = 1 1-2y a. y' = 2x -3-2y b. y': 2x -1-2y O…

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Q: Verify Green's Theorem by evaluating both integrals an aM dA y² dx + x² dy = |/ əx ду for the given…

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Q: QUESTION 1 A farmer with 890 feet of fencing wants to enclose a rectangular area and the divide it…

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Q: 5- [(tanx + secx)? dx

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Q: Question 10 of 10 sin x g(x) = Select the correct response 1 /x cos x 2x cos x sin x - O Va cos x 1…

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Q: A general equation of conic section is given as y + 4x? + 4(x – 2y) + k = 0. Determine the value/s…

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Q: 4. y = sec-1 Activities in Inverse Trigonometric Functions dy Find the dx 1. y = sin-12x – V1– 4x²…

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Q: The rational function 320t V(t) t +3 models the velocity, V(t), in miles per hour, of a dragster t…

A: Distance

Q: Find the arc length of the parametric curve. x = 4 cos(t), y = 4 sin(t), z = 3t; 0<t< T L =

A: Given parametric curvex=4 cost , y= 4 sint  , z=3t ;  0≤t≤π

Q: Given the differential equation y" = 4 x y' Using Reduction of Order and the letter "R" to this…

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