11) Suppose that B, (fix) be the Bernsten polynomial. Then ((B₂B)(t.:x) = (b) x (c) x² (d) No Answer a 12) For x-1, we have ex*(1-x)*-* = (a) I (b) 0 (c) 2 (d) No Answer O b O C do O Scanned by CamScar PO U B

Q: Q5: Derive the formula for trapezoidal Rule to evaluate f(x) dx a

A: SOLUTION-

Q: Q: 1 the first derivative test to find the intervals on which the function f(x) = xe-* = is…

A: Given, f(x)=xe-x

Q: 11.J sin 3 x sin 6 xdx 3

A: To evaluate the given integral.∫sin 3x sin 6x dx

Q: Consider the function f(x) exact values. f'(x) = f''(x) = f'''(x) = = Compute each of the following.…

A: Topic:- derivatives

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A: We have to find  the derivative

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A: Cost function C(q) = 100q + 42,600 Demand functions p(q) = -1.8q + 860  Marginal revenue is the…

Q: iii. lim (1-sin x) tan x x→ I COS cos((x - 1)) iv. lim I-0 r³3r

A:

Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATION: (D^2+4)y=4cot2x

A:

Q: B. Graph each equation. 1. 2y² + x + 8y - 4 = 0 2. x² + y² + 6x + 8y = -9

A:

Q: Evaluate (x+2√Y) ds where C is given in the accompanying figure. (x+2√y) ds =D (Type an exact…

A:

Q: Simplify to an expression involving a single trigonometric function. Please show work so i can…

A: SOLUTION-

Q: Assume that y is a differentiable function of r such that y² = x² + 4x sec y. Find y' by implicit…

A: implicit differentiation

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t² -…

A:

Q: Find the slope of the tangent line to x+y=10 at (1,8).

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: = - - 6q² + 700q, where R(q) is in dollars and q Suppose a product's revenue function is given by…

A: The revenue function is given by , R(q) = -6q2+700q

Q: (D6 + 8D4 + 16D²)y = 0

A: We have to solve the given D. E.

Q: Specify the domain of the function f(x)=sqrt2x+10   The domain of f(x)fx is x

A: Here we need to find out the domain of the given function.

Q: Function Point f(x) = tan² x 4 (a) Find an equation of the tangent line to the graph of -4x-T+1 X…

A:

Q: (d) Given r(t) = (ln(t+1), t cos 2t, 2¹). (i) Find r'(t). (ii) Find parametric equations for the…

A:

Q: Sketch the graph of each quadratic function and identify the vertex, direction of the opening of the…

A:

Q: blanks 1 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is...... 4. If = (-12,4,8) the…

A: ssolution given below

Q: What integration technique can be used to integrate: A Integration Formulas B) Integration By Parts…

A: Given: sec2xdx

Q: -0.5 3. f5 x(1-x)³ dx 0

A: To evaluate the given definite integral by using substitution rule.∫00.5x1-x3 dx

Q: hestion B.) Does this CONVERGE or DIVERGE? 1 E 2 A=1 (lan)² √n

A: We have to find the convergence test

Q: Consider the sequence -13, -3, 7, 17,.. 10n + 7. ...9 a. How many terms are there in the sequence?…

A:

Q: Solve the D.E XỲ+Y=- 1 y2

A:

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

A:

Q: Using integrals, find the area bounded by the following:  f(x) = 4x2 + 20 g(x) = 8x + 32 x = - 4…

A:

Q: Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 3), and (2, 0).…

A: SOLUTION-

Q: If A = 2₁ 2 2 and B = -1 Find det(AB) 3

A:

Q: xdx √2x-1 1.5.

A:

Q: R is the region bounded by the functions f(x) = -and g(x) = -. Find the area A of R. Enter an exact…

A: The region R is bounded by the functions fx=-4x and gx=4x7-327

Q: (1) (-³)) = the output value is the same as the input value. Composing a For sin (sin-1…

A: Composing of a trigonometric function with its inverse can be done in a lot of ways.    a)…

Q: dx 17.S (4x²-9)3/2

A:

Q: 2. Let S be the part of the cone z = √² + y² that lies between z = 1 and z = 3 with upward pointing…

A:

Q: Does the follewing finile & Series ooveryor dinerge E T $ (Inn) N-2

A:

Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: Reverse the order of the integration ² dy dx + 2 dy dx equal:

A:

Q: A given partial fraction B can be evaluated as: A) 6/23 B) 7/35 C) 8/85 (D) 13/85 2x (x-1)(x+4)(x²…

A: Given, 2x(x-1)(x+4)(x2+1)=A(x-1)+B(x+4)+Cx+D(x2+1)

Q: dx 15. S (x²+36) ³/2

A:

Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) A cos 2 B) e² CO (D) -sin 2

A: This question can be solved using the concept of partial derivatives.

Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

Q: Determine the values of m and b such that function g is continuous at every real number: if r 1.

A: Since the function g is continuous.So, limx→1-g(x)=g(1)limx→1-x2-mx=-212-m(1)=-2m=1+2m=3

Q: Suppose a population of fruit flies changes at a rate of g(t) = -3e0.01, in flies per day. If the…

A:

Q: Evaluate the following definite integral using substitution rule. 1. (2x - 1)² dx 2. fx √x² + 1 dx

A:

Q: The partial fraction decomposition of f(x) g(x) + where 3 (x + 3) (x² - 4x + 4) f(x) = g(x) = -3x² -…

A:

Q: 2 Find all local extreme values of f(x) x³ + 11x²56x + 30. = 3 The FIRST local extreme value, moving…

A:

Q: a particle moves a long a straight line with equation motion s=t^2-3t+2. find the value of t at…

A:

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: The given problem is solved below in detail.

Q: test if (AB) =B¹A¹ A = 4 0 L3 1 2, B = 5. 4 -3 14 02

A: We  can check the matrix as below