1 Σ (n +2)*¾ n=1

Q: Use implicit differentiation to find y' and then evaluate y' at (-2,1). xS + 32y = In y %3D y'l(-2,1...

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Q: Q5. Find the Laplace Transform of the functions x(t) and yıt), which satisfy the coupledd first orde...

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Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x

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Q: 1 Let an = n > 3. nvinn Use the Integral Test to determine if the series > an converges or diverges....

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

A: NOTE: Refresh your page if you can't see any equations. . here the given interval is 

Q: 9. S sin(4x – 2) dx

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Q: (f) dx /3 — 2х — г?

A: Question f,Given,           ∫x3-2x-x2dx

Q: Find the inflection points, if any, f(x)=x4 −2x3 +6

A: Find the inflection points, if any, f(x)=x4 −2x3 +6

Q: aairical nunber is anumber C HAthe dor of f such that f'@)=0 or f' C dne Pfind the aninical #s of th...

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Q: 5. Verify that the hypotheses of the Mean-Value Theorem are satisfied by the function f defined by f...

A: Given,            fx=25-x2 on -5,3

Q: estion 7 Find an equation of the plane containing the points A=(1,0,2), B = (-1,1,2), C= (5,0,3). Fo...

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Q: 3. Use the Comparison Test to determine if the series 5n — сos 2n n³ + n² + 1 n=1 Converges or diver...

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Q: Use (direct) comparison test to determine whether the given series is convergent or divergent. n +1 ...

A: ∑n=1∞ n+1nn+nsin nan=n+1nn+nsin n >0  for all n0≤|sin n|≤1Since the sine term in the denominator ...

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Area of triangle =( base *height )/2 Area of semicircle = (π(r^2))/2

Q: find (y') by Implicit differentiation e(2x+3y) = x² – In(xy³) 1 Add file

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Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: Prove the following (sinh x + cosh x)^= e%x cosh?x-sinh?x = 1

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Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: 1-cos(x) lim x→0

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Q: With x people on board, a South African airline makes a profit of (960−3x) rands per person for a sp...

A: Given problem:- With x people on board, a South African airline makes a profit of (960−3x) rands per...

Q: 4. Calculate the volume of the solid under the plane 4x + 2y – z = 0 and above the finite region R e...

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a...

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

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Q: What are the inflection points?

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Q: Solve by Chain Rule (V3x² + In(5X*)) y = tan

A: To differentiate the given function using chain rule.y=tan3x23+ln5x4

Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount...

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Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the eract answers in terms of i,j ...

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Q: APPPLICATION: AM I CONTINUOUS AT THIS POINT? Direction: Determine whether the following functions ar...

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Q: Find the general solution of the differential equation. 1 こ

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Q: d²y x+2 for y=- X-3 8. Find dx2

A: Differentiate with respect to x. 

Q: Given: 1. v = 2i – 4j + v5 k, u = -2i + 4j – V5 k 2. v =i+k, u = 5i + 12j | 3 4 Find: a. u· v, |v|, ...

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Q: Use implicit differentiation to find y' and then evaluate y' at (2,0). 4 eY = x? - y³ y' = D y'l20) ...

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Q: If fis a probability density function of a continuous random variable x over [a,b], then the median,...

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Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4 (d...

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

A: Given : y"+y=csc(x)

Q: 3. Find the angles between the vectors: u = 2i + j, u = 2i – 2j + k, v = 3i + 4k a. v = i + 2j – k b...

A: a.)u=2i+j , v=i+2j-klet θ be the angle between the vectorscosθ=u.v|u||v|cosθ=(2i+j).(i+2j-k)22+11+22...

Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

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Q: Given f(x, y) = a° + 3xy“ – 2y°, find

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Q: 3. What indeterminate form is the lim x. Evaluate the limit.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Let f(x, y) = x² vI Evaluatef(3, 4)

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Q: 1.n f csc n² d0

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Q: find (y') by Implicit differentiation x² tan(y) + y10° sec(x) = 2x

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Q: Find the points of Intersection of the graphs af the equstions. x-43 -y y-x-1 Sop 1 A polnt of Inter...

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Q: Write an equation for the function graphed below -7 -6

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Q: 1. S 5e* dx 2. S(2 – 3e*) dx 3. S 72x+3 dx 4. S dx x In x 3 dy 5. S 4y-3 6. S dx 2 x+5 7. Se* (1 + 2...

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Q: Find grad f, plot some level curves f= constant and indicate grad f by arrows at some points on the ...

A: Question - (a) Given: fx,y=xy Formula used: ddxxn=nxn-1  

Q: Use implicit differentiation to find y' and then evaluate y' at the point (4,5). y-8x2 +3=0 y' = %3D...

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Q: Help Save & Exit Judith receives an annual salary of $37,500 based on a 37.5-hour workweek. What are...

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Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x- a...

A: Since you have asked a question with multiple parts in a single request we would be answering only t...