-5 0x<2 Ox>2 0

Q: What is the slope of a line that is perpendicular to y = 3x + 1? -1/3 -3 3 1/3

A:

Q: Find the derivative of the function f(x) = e8+5x³. O f'(x) = 8+52³ O f'(x) = (8 +5x³) e³+5x³ O f'(x)…

A: To find derivative f'(x)

Q: What is the equation of a line that is parallel to y = -4x + 2 and goes through the point (-4, 9)? y…

A:

Q: What are the coordinates of the y-intercept of the equation 5x - 3y = 2? (0, 2/5) (0, 5/3) (0,3/5)…

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Q: 1. √ 2x log 2x dx

A: The objective of the question is evaluate the indefinite integral. Note -  As per our guidelines we…

Q: Graph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A: The graph will be  Option (B)

Q: Find the transfer function, G(s)=C(s)/R(s), corresponding to the differential equation, d³c d3 +3.…

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Q: For each positive integer n, define an = n² sin 2 +∞o 1. Determine if the sequence {an} converges or…

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Q: On Integration of Rational Fractions. Distinct linear factors Repeated linear factors x+8 7) 2+ 1²²…

A: 6) Given:       x+8x2+x-2=x+8x-1x+2 The partial fraction decomposition is:…

Q: ← A searchlight is shaped like a paraboloid of revolution. If the light source is located 2 feet…

A:

Q: Determine if the series  ∞ (−1)n − 1e8/n n = 1  converges by the Alternating Series Test. If the…

A: We have to test to determine if the series converges or diverges.

Q: ical numbers r = -1 and x = 2 are found from a continuous derivative the second derivative is f"(x)…

A: Topic:- application of derivatives

Q: Find the volume of a solid obtained by rotating the region enclosed by the graphs y = 19 - 2x, y =…

A: To find the volume of a solid obtained by rotating the region enclosed by the graphs y=19-2x, y=5,…

Q: 1. S xdx x²+6x+13

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: The graph shows the rational function f (x) and the logarithmic function g(x). f(x)…

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Q: Use the graph of y = f(x) for problems 7 and 8. 1010 lim f(x) = 1; HI-4+ lim f(x) = 1; 41144 Use the…

A:

Q: 2x log 2x dr 1 (x²+6x+5)3/2 dr

A: As we know that; The Power Rule: ∫xndx=xn+1n+1+C   1). The given integral is: I=∫2xlog2xdx Apply the…

Q: 7. Differentiate w.r.t x- sin 5x cos 3x 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

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Q: 1.0⁰ 7 -2 dy 1+ y² 1 +x³ = π 2x + 3 da is an improper integral 1 - 1 (₂ ² ² ₁ + 2x + 1) dz dx + 1…

A: Given problem:- Which of following  is True? a)  ∫0∞dy1+y2=π b) ∫-2711+x3dx is an improper integral…

Q: Assuming the pattern continues, what is S₁2 for the series -8-15-22-29 -...? -565 -85 -510 O-558

A: Option d is correct.

Q: 2 2 lim √x + 6x - √√x - 8x X-00

A: We have to evaluate limit in this question.

Q: Factor the polynomial and use the factored form to find the real zeros. (Enter your answers as a…

A:

Q: f(x) = ³√x, a=27

A:

Q: IV. Fill in the blank to make each statement true. Use correct notations. 3. If a polynomial…

A: We can solve this as follows:

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300…

A:

Q: This exercise uses the population growth model. It is observed that a certain bacteria culture has a…

A:

Q: On Integration by Parts [z√z+1dz fe* cost de [r³√³+1 da 1) 2) 3)

A:

Q: Find the volume of the solid with the given base and cross sections. The base is the circle x² + y²…

A:

Q: Find the average value fave of f(x) = x5 between -1 and 1, then find a number c in [-1,1] where f(c)…

A: We have to find the average value of function and value of c.

Q: 2. Approximate v1.02 +0.02 using an function f(x)=√x + 1 + e*. appropriate local linear…

A:

Q: 5. Given that f(t) = sint, t=0, t≥π/2 0≤t<π/2 find L{f(t)}.

A:

Q: IV. Fill in the blank to make each statement true. Use correct notations. 12π ¹ (sin ¹25). = 1.…

A: We can solve this as follows:

Q: Define the force field F(x, y, z) = . a. Find the divergence and curl of F. b. Let C be the directed…

A:

Q: A function is given. Determine the average rate of change of the function between the given values…

A:

Q: Find an equation for the hyperbola described. Graph the equation Center at (-1,-4); focus at…

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Q: Find an equation for the tangent plane to z = f(x, y) at (3,-2) if the differential at (3,-2) is df…

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Q: 7. Solve for cot NI 2 if cos(20) = |L0 5 and P(0) E QIV.

A: Given: cos2θ=-45 To find: cotθ2

Q: = 5. Prove the identity: cot(A + B) cot(A − B) = cot² B tan² A tan² A cot² B-1

A: To prove cotA+BcotA-B=cot2B-tan2Atan2Acot2B-1

Q: Find the volume of liquid needed to fill a sphere of radius R to height h = R.

A: answer is in next step. please give a like!!

Q: : x-2y+3z-1 = 0 and the line 1 : x = Consider the plane 1. Find the point of intersection of and 1.…

A: Given: x-2y+3z-1=0x=1-y2=z+1

Q: The table gives a partial set of values of a polynomial h(x), which has a leading coefficient of 1.…

A:

Q: If -2 5 [° f(x)dx = [__ * f(x)dx + [_^¸ ƒ(a)dx − [¯* f(x)dx, -8 what are the bounds of integration…

A:

Q: Find the Fourier series for the following functions: f(t) = |sin t], -1 < t < n

A: To find the Fourierseries for the following functions.ft=sin t, -π&lt;t&lt;π

Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

A: Solution is given below:

Q: {an} is a geometric sequence. a5 = 2, ag = -54 find a 11

A:

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Please see the below picture for detailed solution.

Q: Express the given quantity in terms of −sin x or cos x. sin(3ℼ/2 - x)

A: The given trigonometric function is f(x)=sin3π2-x

Q: I. Find the solution set of the following. 4. cos ¹(2x) + sin¯¹ √√1 − 4x² = π

A:

Q: Consider the region bounded by x=4-1², the y-axis and the x-axis. N 1 1 2 3 4 The volume of the…

A: Given problem:-