The slope of the tangent line to the curve at the point where x = O +1 -1 DNE f(x) = sin² x cos²x

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A: Concept: Cosine function: Similar to the sine graph, the cosine graph is an up-down graph. The sine…

Q: 18. If A = 6 a. d. 14 5 0 10 10 1 14 0 01 7 0 b. 0 11 16 C. 8 9 12 14 3577 NOV00 7 572 7 6 7 1 2 61…

A: In this question we have to multiply Matrix.

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (7, 15,-5) Vw(7, 15,-5) =…

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Q: 5 CH 10.3 Class Determine whether the conversand arguil Exeresse I > + Σ following Series divergend.…

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Q: Sx -1 xtan xdx

A: Solution of given question is written in below steps.

Q: The partial fraction decomposition of the rational function 3 2x + 5x²

A: NOTE: Refresh your page if you can't see any equations. .

Q: x+3y=x².

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Q: Use an appropriate test to determine whether the series converges. 1 2 3 26² 27² 28² By the + + +…

A: According to question,Given series,1262 + 2272 + 3282 + ........

Q: Question 26 O 12 0-8 powered by desmos Suppose that F(x) = f(g(x)), where f(2)= 3. g(2) = 5. g' (2)…

A: [26] Given F(x) = f(g(x)) where f(2) = 3, g(2) = 5, g'(2) = 4, f'(2) = -2 and f'(5) = 11 F'(2) = ?

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

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A: we have to find rate of change of volume with respect to r.

Q: 9 Evaluate f 99√x 30-x2 -x² 2 dx.

A: ∫4999x30-x322dx

Q: Find B in the partial fraction decomposition: 0-170 6 O 16 O 0 - 11 O - 5 6 none x²+2x+7 x3-10x2+21x…

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Q: At value of a does the curve y = 2√4x2+1 have a tangent line with a slope of 2? O √12 00 O /12 O…

A: To find the slop at given point.

Q: Find the centroid of the region bounded by the graphs of the equations using any method. y = √9-x²,…

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Q: Using the substitution u = expressed as an integral in terms of u is given by -1, the definite…

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Q: write a possible transformation in function that will transform the ordered pair (-1,4) to the…

A: Transformations.

Q: Starting from the same point, Angela starts walking eastward at 6 m/min while Jessica starts running…

A: Please see the below picture for detailed solution.

Q: 4 lim z+0x5

A: topic- limits Since denominator is negative, and near to zero .Therefore limit tends to negative…

Q: Determine the area of the shaded region bounded by y=-x² + 10x and y=x² - 6x.

A: Follow the procedure given below.

Q: fe* sin 2xdx.

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Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A: A spotlight on the ground shines on a wall 12m away.A man 2m tall walks from the spotlight towards…

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Q: Suppose that f is a differentiable function defined on the whole real number line R and that the…

A: Given: A 'fx' is a differentiable function for x∈ℝ.  Ory = fx…

Q: Express the given quantity in terms of the indicated variable. The average of four quiz scores if…

A: In this question, we will express the given quantity in terms of the indicated variable.

Q: Let f(x)= 4x²-19x-5 x² +11x-80 (A) lim f(x) X-5 Find the indicated quantities, if they exist. (B)…

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Q: Which of the following theorems does not require the differentiability of the given function? a.…

A: We can check in which theorem , the condition of differentiability of the given function does not…

Q: If f is a differentiable function and such that and g(x) = x+2 / 1+f(x) such that f(0) = -2 and…

A: We have to find the the value of g'(0).

Q: 9. The equation of the graph of the shaded region below is most likely to be Im A. |z − 4 + i| ≥ 2√3…

A: The objective of the question is choose the correct option for the region.

Q: Use partial fractions to find the indefinite integral. (Use C for the constant of integration.…

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Q: Find the general solution for the differential equation: (2xy²-2y)dx+(3x²y-4x)dy=0

A: Given :(2xy2-2y)dx+(3x2y-4x)dy=0

Q: Suppose that the concentration (measured in gm3) of nitrogen in the soil along a transect of land…

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Q: Activity 6.1.3. In each of the following problems, our goal is to determine the area of the region…

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Q: In(t³ r(t) = 4 lu(t²+1); - (4e-2 - 5e"); _ sin³t 5e²t)j -k, + 1 t3 then the limit lim r(t) equals…

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Q: Question 1 described by the vector function r(t) = (4t² ln t, t-4 29 -2e-³t). a) Find the integral…

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Q: In Exercises 19-24, match the parametric equations with the paramet- ric curves labeled A through F.…

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Q: Evaluate the following integral: sin²(a) da

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Q: If f" (x) = x(x + 1)(x - 2)2, then the graph of f has inflection points when a =? -1 and 2 only -1…

A: Given that f''(x)=xx+1x-22

Q: 3) [3 Consider the DE: -(4x³y – 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is…

A: For a differential equation Mdx+Ndy=0  to be exact if ∂M∂y=∂N∂xand solution of a exact differential…

Q: 5. (x² + y² + 1)dx - 2xydy = 0

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Q: [x² - y² If f(x,y)=2x-2y m if y = x if y=x then:

A: Given the function,   fx,y=x4-y42x-2yif y≠xmif y=x

Q: S sin² 2xcos² 2xdx

A: This question is based on indefinite integral using Trigonometric formula.

Q: - [5√3x d dx

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Q: Question 38 dy Given that y = (1 + tan(2x))^, then dx 8(1 + tan(2x))³ sec² (2x) O4(1 + tan(2x))³…

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Q: Evaluate (x² - 1)³² dr.

A: Our Aim is to evaluate the integral given below:-∫x2-12 dx -(i)

Q: of the following indicates that the graph of the function f(z) has a horizontal asymptote th(") and…

A: The line y=2 is horizontal asymptote of the graph of f(x) if      x>Infity Lim f(x) = 2 or…

Q: π/2 √1-cos2xdx

A: