CALCULUS

Q: Put the equation y = x² - 4x + 3 into the form y = (x - h)² + k: Answer: y = Question Help: Video…

A: Given query is to find the vertex form of parabola.

Q: 4. Find an equation of the tangent plane to the surface xy + yz+zx = 3 at the point (1,1,1).

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Q: ii. iii. [x x cos(x) dx [rs x sec²(x) dx x³ ex/³ dx

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Q: simplify the expression:  tan^2theta/sec^2theta+cot^2theta/csc^2theta

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Q: Find the derivative of y = 3x² − 2x + dy = 6x 2 dx dy dx dy dx Oy = = 3x - 1 = 3x - 2 6x - 2

A: Given query is to find the derivative of the function.

Q: 0 = XP(^vx-2)^x + ^p (Tvx-tv^) differential equations.

A: A differential equation of the form Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x, and general solution is…

Q: Find the f(t) = 1- cos 7t transform of the given function by 7 A F (S) - 2+49

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Q: dy Find for the equation ex+y² = x. dx 3-x [A] [B] ³ xy 1-x 2xy [C] 1-2x xy [D] 2-x 2xy+e [E] 1-x xy

A: Concept: The formulas used: ddxxn=nxn-1ddxln(x)=1xln(ab)=bln(a)

Q: Step 4 Finally, determine(-3x + 7) and (x + 7) and simplify the result. dx dx 1. du 1 dv + U dx V dx…

A: formulas we use: ddxf+g=dfdx+dgdxddxkx=k; k is a constant.dkdx=0; k is constant.ddx(x)=1.

Q: Problem 1 Given a first-order differential equation: √1 + x² dy-ydx = 0 a) What is the best solution…

A: Sqrt(1+x2)dy -ydx=0

Q: Given: y = 5 (cosh log )², find y' (cosh² O g = =|sinh 2 log = ]5 sh®log }} O 5 O ý =−}(m& )[sinh 2…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Use the Special Integration Formulas (Theorem 8.2) to find the indefinite integral. [√17X 17x² - 1…

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Q: If f(x) is continuous false 2. Assume that f(t) is continuous on [1,5] and that f(1) = 20, f(5) =…

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Q: Find by implicit differentiation. dx 2x sin(xy³) = x +2y-7

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule:…

Q: Find ff f(x, y) dA where f(x, y) = 3x + 1 and R= [0, 3] x [1,3]. R SSR f(x, y) dA =

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Q: 1+3 Sketch a detailed graph of the function g(x) asymptotes and draw them on the graph as dashed…

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Q: ניע dv 32 dt 11 a) Write the given first-order LDE in standard form. b) Solve for the general…

A: Note - As per our guidelines we have to answer only the first three sub parts if multiple parts are…

Q: - ƒ(x) = (x² + 3x) (x−¹ − x¯4)

A: ddxx2+3xx-1-x-4

Q: Evaluate the following integral using integration by parts. Jxsin 8x dx 6x OA. x cos 6x + cos 6x COS…

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Q: (b) Find the 243rd derivative of f(x) = sin(3x) 3

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Q: Classify the following DE's as Exact, Non-exact, Homogeneous or Bernoulli. A: (-xysinx + 2ycosx) dx…

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Q: lim f(x) = 2-1 x²+x-2 x²-1

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Q: Question 1 Find the transform of the given function by use of a table. f(t) = cos -4t-sin-4t (A)…

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Q: 2. Separation of Variables Determine which of the following differential equations are separable. Do…

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Q: Score on last try: > Next question pts. See Video Get a similar question Let f(x) = 2x + 2 and g(x)…

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Q: 2x²-5x-10 (x+2)(x² −4) dx

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Q: Find the short test distinse between the two curves y² = Sinx"²" and x² + y² = 2 where intersect…

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Q: x 9 PCRS (57) thenewboston YouTube A31 W6 Complete Lectures.pd C…

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Q: one has a Tess man its polynomial function. The volume of a cone is V = ²h for radius r and height…

A: Given query is to find the volume of the function.

Q: Horizontal Tangent There is a curve 3 y = x³ − 6x² + 12x + 5 What is the value of x where the curve…

A: Derivate y with respect to x and equate it to zero

Q: 4. y'-(3+anx)y = 1

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Q: Concept Check: Evaluate the following integrals: e³x dx 1-2e³x 2. ·S₁ TENTIA

A: To evaluate the given integral.

Q: List the first 4 terms of the sequence starting from n=1 n {(-1)^ ^ +1} ₁ n 2

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Q: Suppose lim n ---> infinity is known to exist, lim n---> bn= 5, lim n---> bn an ^2  = 245 find lim…

A: Given:- limn→∞bn=5  limn→∞bnan2=245

Q: Put the equation y = x² + 12x + 35 into the form y = (x - h)² + k: Answer: y = Question Help: Video…

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Q: Find y': y = arc cos 0 = -√2 O y Oy=-1/72 V Oy= Oy=-- 9-1² 3

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Q: √x² ²-4 .3 x -dx

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Q: Family Tree A person has two parents, four grandparents, eight great-grandparents, and so on. How…

A: Please see the answer.

Q: Find the limit of the sequence. {√3, √3√3, √3√313...

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Q: Evaluate the definite integral. π/2 x² sin x [12²232² -π/2 1 + x8 - dx

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x³ - 6x² -…

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Q: Please determine wheather each of the series below converges or diverges and explain your reason…

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Q: Let f(x,y)=sin(4x+8y) and P=(π/4,1/4π). Find the maximum rate of change of the fucntion f at the…

A: Given data ÷ fx,y=sin4x+8y   Now we need the maximum rate of change of the function. So,we need to…

Q: Find the general form of the quadratic function with the vertex (2, 1) and a point on the graph (-2,…

A: The quadratic function has vertex at 2,1 and a point on the graph -2, 17. We have to find the…

Q: . Evaluate the for parametric equations x = 3t² - 6t and dx = 3t³ + 3t with respect to the…

A: Given query is to find the Indicated derivative.

Q: f(x) = z3 + 6 +6 3-4x-2

A: If y=u/v  then y'= (v×u'-u×v')/v2

Q: ƒ(x) = 5 4x³+4

A: To differentiate the given function using quotient rule.

Q: 1. Given [x² +1, 2x, x ≤ 1 x > 1. Is f differentiable at x = 1? Is it continuous at x = 1?. f(x) =

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Q: Find the exponential function that passes through the points (-2,6) and (3,1).

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Q: Determine whether f(x) = = -4x² + 16x - 2 has a minimum or maximum value, and find the value of the…

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