Find DO NOT SIMPLIFY YOUR ANSWERS. dx 1. log 1093/1 √√√2x² 2x² + y) + tan(x² − ñ³) = sin¯¹(x² − 1) + =/

Q: More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence…

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Q: Replace the polar equation r. sin (0+ 1 (0+²) = 2 to Cartesian equation

A: See the details solution in below

Q: Determine the interval of convergence for the series 2¹.¹. n=0 The series converges on the interval…

A: This is a geometric series with r=2x.

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 2. lim (√x²-x-√x² + x)

A: Please see the answer below.

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: Write TRUE if the statement is correct, otherwise write FALSE. y y = h'(x) (-3,0) (3,0) x (0, -1)…

A: To write TRUE if the statement is correct, otherwise to write FALSE. Suppose that hx is continuous…

Q: d Calculate [ri(t) r2(t)] and [ri(t) x r2(t)] first by differentiating d't dt the product directly…

A: Given,           r1t=4ti+2t2j+5t3k , r2t=t4kTo find : ddtr1t·r2t                ddtr1t×r2t

Q: 15. Sketch y = f(x). Properties are: Max at P(2, 2) Mins at Q(4, -1), R(-1,2). Oblique asymptote y =…

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Q: what values of x is f(x) = 2 tan(x + π/6) discontinuous?

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Q: Find the equation of tangent plane to the surface z = ln (3x²) + 2y at A (1,0, In (3)).

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Q: y = tan-¹ (cosh x) (sin²x) (sech x) secz (use logarithm

A: We have to find dx/dy

Q: Find fa, fy, and fz. f(x, y, z) = 3z ln (x³y³ cos(2z)) fx= fy= f₂ = =

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Q: Assume a (t) represents the acceleration of an object at time t, v(t) represents the velocity of the…

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Q: Evaluate the integral 13 ƒ(x)dx geometrically for ƒ (x) = { |3 − x ; x ≤ 5 2; x > 5

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Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

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Q: Let a = ci + j and b = 6i + 36j. Find c so that a and b are orthogonal. C = i

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Q: Write TRUE if the statement is correct, otherwise write FALSE. y y = h'(x) (-3,0) (3,0) x (-1,-2)…

A: To write TRUE if the statement is correct, otherwise to write FALSE. Suppose that hx is continuous…

Q: (-3,0) y = h'(x) (0, -1) (-1,-2) (0, -2) (3,0)

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Q: Question 7. A manufacturer of jet engines estimates that the rate at which maintainance costs are…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…

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Q: A B D Find the area, A, of the region enclosed by the cardioid r = 8 + 8 cos 0. 96 л 52 t 48 100 π

A: First I have written the area formula for polar curve , then draw the graph of given curve and then…

Q: 11. lim [w ln (1-2)] In 3w

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Q: Select the conic section represented by the equation. 5x 2 + 9y 2 - 80x + 54y + 221 = 0 point…

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Q: Solve the D.E ý - 25 +2y = 2X+3

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Q: d an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4,…

A: Given; Points- (0,0,0),(4,0,6),(-4,-1,8)

Q: Find all values of a where the given series converges. Answer: Note: Give your answer in interval…

A: Solution is given below:

Q: (D² − 3D + 2)y = 2e¯* +8

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Q: Evaluate the following. √(x²-2) e¹-6x dx

A: Use substitution method to solve the integral.

Q: 2 Find the center of the following equation.      x 2 +y 2 + 8x - 6y - 15 = 0 (4, 3) (8, -6) (-4,…

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Q: Locate the absolute extrema of the function on the closed interval. f(x)= x³ 12x, [0, 4] -

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Q: Write the Taylor series for f(x) = x³ about x = −2 asen(x+2)". n=0 Find the first five coefficients.…

A: Given that      f(x) = x3

Q: S [[x+1]], Determine iF f(x) = if x ≤ -1 2 tanh (H), ip-IxO (x+1), < <) In [cash (x+1) + sinh…

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Q: A factory operating at maximum capacity can produce 25 fuzzles in one day. The cost of producing a…

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Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

A: We have to apply simple mathematics logic to solve the problem

Q: The function f is defined by f(x) = -2x³ - x² - 6x and the point (-1,7) is on the graph of f. If f¹…

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Q: Find the limit, if it exists. lim (---)

A: Given that a limit problem and we solve this problem by using general property of limit.   Here i…

Q: Find curl F and div F given F(x, y, z) = e* siny i+ esinzj+e-² sin x k

A: Given  Fx, y, z = e-x sin y i + e-y sin z j + e-z sin x k We have to find curl F and div F.

Q: k1 (k+ 1)².4k ak+1 lim ||

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or…

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Q: Select the conic section represented by the equation. x 2 +y 2 + 6x - 4y - 12 = 0. circle point…

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Q: Find Do not simplify your answers. dy dx 1. log3(2x² + y) + tan(x - ²) = sin-¹(x² - 1) + 2

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Q: Select the conic section represented by the equation. 4x 2 - 25y 2 - 8x - 100y - 196 = 0. line…

A: We can answer the question as below.

Q: Is Area = ∫βαf(x)dx∫αβf(x)dx as positive, negative or zero? positive negative zero

A: Here in first graph we had shaded the area under this function as given below in figure : So from…

Q: Solve xy = 8y - 3x, y(1) = −1. (a) Identify the integrating factor, a(x). a(x) = (b) Find the…

A: xy'=8y-3x

Q: Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF…

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Q: = The Taylor series for f(x) = √2x − x² at a : 1 is Σ Cn (x - 1)”. n=0 Find the first few…

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Q: Match the vector field with its graph. F(x, y) = yi 1 |||||||||| 三 6 靈

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Q: Write TRUE if the statement is correct, otherwise write FALSE. Y y = h'(x) (-3,0) (3,0) x (0, -1)…

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Q: Integrating 1. y' + y = x+ Factor by Linear Equations:

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Q: Find the fourier transform of x*arctan(x) x*tan^-1(x)

A: Solution of the problem as follows