Which of the following is not true? 5 dx с dx Ⓒ√² S 25-x² (Α o = lim C-5- o 25-x² 3 dx 3 dx (В lim S³ 1 In (x²) c+1+¹c In(x²) None of the given choices 4dx 4dx (D) S S √x(x+6) Cx¹0 √x(x+6) = lim e e Ⓒ ["n(x²)ax- Im ["n(x²) ax E dx = lim dx C+0+ c [

Q: Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if one…

A: We need to find dimension of rectangle.

Q: In evaluating 4 2 2 dx x√√x²-4' is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A:

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: Question E.) 36 Al 2+3^ 3^ +4^

A: Explained below

Q: 14, which 12 54 32 9 27 of the following rule defines y as a function of X 13 18 101 69 350

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Q: 1. y = √2x +7 2. y = √7+√√3x + 1 3. y Arctan√1-x²

A:

Q: Solve for the derivatives of the following functions with complete solutions. a. y = ln (5x²) b. y =…

A: Answers provided by you have mistakes only (c) and(d) matches.

Q: d the area of the surface obtained by rotating the line y = 19x + 6 about the x-axis from point…

A: Topic:- application of integration

Q: C Let a and C be positive constants. Let be с the upper semicircle (x − a)² + y² = a² y ≥ 0, from…

A:

Q: If f is continuous on [a,b], then [a,b], then A) True B) False [ f(x)dx = πf f(x) dx

A:

Q: f(4)(x) an f(³)(x) = √√√x, f(4) (x) 6 7(6√x) X

A:

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

A:

Q: 8. f₁(r + 1)²dr Hint: square first

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Q: ven than L [₁ f(x) da = 7 and [° f (x) da : ^ [ f(x) dx = [₁ f (x) dx - [* f (x) de da A BIf If f(x)…

A: We can answer the question as below.

Q: =f and g are continuous on [a,b], then [*[f(x) + g(x)]dx = f(x) [ √° g(x) f(x)dx+ Sº g(x)dx (A) True…

A:

Q: Find the gradient field of the function g(x,y,z) = 8xy + 2yz + xz. Vg= (Type your answer in terms of…

A: We have to find the gradient field.

Q: Evaluate cos (1/4) places)

A: cos(x)  We know that, we have a power series for cosine function,  cos(x) = 1-x22!…

Q: Q1:Discussion a continuity of the function f(x,y) sin x (x, y) = (0,0) f(x, y) = x (x, y) = (0,0)…

A: To find whether given function is continuous at (0,0) or not.

Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

Q: b iff and g are continuous on [a,b] and f(x) z g(x) for all x E[a,b], then f(x) dxz g

A: SOLUTION-

Q: Determine the points in the interval (0, 2π) at which the graph of the function below has a…

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Q: In pair, study and find the integral of the following functions. You will be awarded marks for each…

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Q: -1 (a) cos (b) log5 (25) -√√3 2

A: Solved below.

Q: 10. State whether the following series converge or diverge. Justify your answers. (b) Σ (# + gr)…

A:

Q: Given f(x,y) = ex cos y, Evaluate fx(0,2) O e² 00 O cos 2 O-sin 2 M

A: We have to find the derivative

Q: Derive the following function 1 1. v = x²√x + √²²³√x 2. g(r) = (r²2r)er

A:

Q: 1²₁ (886x5)) dx = 0 cos(x3 A) True B) False

A: Answer is following.

Q: Trapezoidal method √√x dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper rounding…

A:

Q: Specify the domain of the function f(x)=2x+10   The domain of f(x)fx is x

A: As we know that; The domain of the polynomial function, fx=a0xn+a1xn-1+a2xn-2+.... is always a real…

Q: y = √√2x + 7

A:

Q: A tumor is injected with 0.820.82 grams of Iodine-125. After 1 day, the amount of Iodine-125 has…

A: I have appended the formula used in the solution part of the question

Q: Solve the differential equation: (2x - 4y - 3)dy=(x-2y)dy

A:

Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

A:

Q: Find the determinant of the matrix, O22-122-13 O22-12A +13 O²+12+13 02-13 2-11 4 6 2-1

A: Topic = Determinant

Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

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: Let Ley) = y(4) + y (3) - 7y (2) _y (¹) + 6y al solue: Lys = 36t-24e² > " where = y (o)=y'(o) =y"…

A:

Q: Find the line integrals of F = 4yi + xj + zk from (0,0,0) to (1,1,1) over each of the following…

A:

Q: What substitution should be used to solve the integral O sin u=3x/2 sec u =2x/3 sec u =3x/2 O tan u…

A: We have to solve the integral

Q: Derive the following function 3. y=x√x 4. y = ³√x + ³√x

A:

Q: Find the indefinite integral: A X+X+C B x³ + x² + c с x5/5 + x²/2+c D 5x5+2x²+c Sx(x³ + 1)dx

A:

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A:

Q: Prove that the equation 3x² – 3x + 2 = 0 has a solution on interval [0; 1].

A:

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

A: Topic:- derivatives

Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: Consider the power series. $Σ (-3)^(x-2)^. √n+2 n=o 1. Use Limit Comparison Test to show that the…

A: Note: In the second circled part the student has made an typing error by writing 'x' in the…

Q: 6. f In² x dx

A: Topic = Integration

Q: A light is hung 15 ft above a straight horizontal path. if a man 6 ft tall is walking away from the…

A: Solution :x=distance from lights=length of shadowlet,height of light,D=15 ftheight of…

Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

A: We want to know the basic variables in the given question.

Q: 15 Ső 0 X √x+1 ах

A: We have to solve the given definite integral