Find the maximum and minimum value of the function and the inflection point of the given curve y=x²-3x² +4. Sketch the graph.

Q: Given: y = = 4 cot (3 - 2x) Find: dy dx 0-8 csc² (32x) O csc² (3-2x) 08 csc² (3-2x) -4 csc² (3-2x)

A: Given y=4cot(3-2x)To find dydx:

Q: e²x 9e2 + 18e + 10 (d) / 5 dx

A: To evaluate: ∫e2x9e2x+18ex+10dx Substitute ex=u⇒exdx=du:…

Q: Differentiate f(x) = (a-x)(a + x) with respect to x. Assume that a is a positive constant. f'(x) =

A: Solving the problem by finding the value of the differentiation.

Q: y= x² +9

A:

Q: 6 1-x² dx

A:

Q: Define R as the region that is bounded by the graph of the function f(x) = +1, the x-axis, x = 0,…

A: The region R bounded by the function fx=x36+1, the x-axis, x=0 and x=2.R is rotated about x-axis

Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

A:

Q: Which statement describes this graph? 3 15- -10- -5-

A:

Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Topic:- application of integration

Q: Convert the angle 270° to radians. Give the exact value and use pi for .

A:

Q: integrate using partial decomposition (y^2)/(y+1)^2(y-1)

A:

Q: expr lim x→-8 -2x² - 20x - 32 x + 8 - 32)

A: Given problem:-

Q: (g) Plot the following set in the complex plane: {z EC ||z- (1 + i)| ≤ √2} U {ze C| Im z>2}.

A:

Q: 2dx 3 X - - 2 X

A:

Q: hand written plz Let A(0, -2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2.…

A:

Q: (Use symbolic notation and fractions where needed.) side of base: 6 height: 6 minimal surface area:…

A:

Q: Evaluate the indefinite integral. dx x(ln (x))6 (Express numbers in exact form. Use symbolic…

A:

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the…

A:

Q: State whether the following series is Convergent or Divergent. n! n=1 Convergent O Divergent

A:

Q: Derivative application question please answer in full detail! A spherical balloon is being…

A:

Q: Given F(x) below, find F'(x). et -1₁° 0 F(x) = (1³ + 7) dt

A:

Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy² +…

A: Given differential equation is (y3+kxy4-2x)dx+(3xy2+20x2y3)=0

Q: The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which…

A:

Q: Consider the following. [u-5(6 - u³ +4²0) du Simplify the integrand by distributing u¯5 to each…

A: We know that integration power rule is given as - Integration of xn is xn+1/n+1 +C ; here C is…

Q: 8 The angle between 0 and 27 in radians that is coterminal with the angle -π in radians is 3

A: The answer is given below:

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.3 4.6 10.4 17.5…

A: Average Velocity on a,b = s(b)-s(a)b-a.

Q: A 15-foot ladder is leaning against a mango tree. If the top of the ladder is sliding down the tree…

A: We need to find rate of bottom of ladder moving.

Q: Solve cos(x) = - 0.73 on 0x < 2π There are two solutions, A and B, with A B A: B = ||

A:

Q: 2. Consider the function F, that assigns x in its domain to x²-1 F(x) = |x-1| In its domain. a. What…

A:

Q: 3. Algebraically solve the equation 2(C₂) ==(n+1²3) 5

A: Given 2(C2n)=15P3n+1

Q: Solve 2 cos² (x) - 3 cos(x) + 1 = 0 for all solutions 0 ≤ x < 2π X = Give your answers as a list…

A:

Q: H.W: Solve the differential equation y'-(1+x)(1+y²)=0

A:

Q: Rewrite cos(x−π6)cos(x-π6) in terms of sin(x)sin(x) and cos(x)cos(x)

A: This is trignometry problem

Q: 4π 3 If Ꮎ cos(0) = sin(0) = = then

A:

Q: The diversity of a population that contains two species can be measured by the Gini-Simpson…

A: The diversity is given by H(p)  H(p) = 2p(1-p)   H'(p) = d/dp(2p(1-p)) H'(p) = 2(1-p) -2p H'(p) =…

Q: 3. Evaluate III 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octant.

A: see below the answer

Q: V.P. [ -8 COS X (a²-x²) -dx, (a> 0).

A:

Q: Find the tangent line to f(x) = ax³ at x = -1. Assume that a is a positive constant. ***

A:

Q: Evaluate the following limit using L'Hospital's rule. Provide your answer below: lim (3x6) sin = 818…

A:

Q: 4. Which of the following is an exact DE? A. (x²+1)dx-xydy-0 B. xdy+ (3x-2y)dx = 0 C. 2xydx…

A:

Q: iii please, NOT i or ii

A: Topic:- vector algebra

Q: y" - y = xe*, y(0) = 2, y'(0) = 1

A:

Q: If the first-quadrant area bounded by the parabola y = 4 - x² will revolve about the x-axis, the…

A: Given curve, y=4-x2 Portion of given graph rotate around X axis in first quadrant, Therefore Put x=0…

Q: Find F(s). ℒ{t3e−4t}

A:

Q: a=i+3j 2k, and b=i-3j-k, and c = 2ī+j-k, then...

A: Given problem:- a = i + 3j − 2k b=i - 3j - k c= 2ì + j − k  Then find v= 3(a - 2b +5c).

Q: = f(x,y) = x² Determine whether the function z = (why or why not) +y + y² for for (x, y) = (0,0) (x,…

A:

Q: 2. Evaluate: Lel el-1 dx

A: 2.The given integral,∫-12ex-1dx

Q: A graphing calculator is recommended. (a) Find the vertical asymptotes of the function y = x² + 2…

A:

Q: Find dy/dx for: y cosy = xy Y O -y sin y+cos y-x Y cos y-x Y -y sin y-x 1 cos y-x O O O

A: Given :y cosy= xy

Q: Question 9 Evaluate: lim1 (3-2x)tan (37) O e O None of the choices 01 e 3r O ∞

A: