find the value of k that will make the function continuous. f(x)= { 2        ,if x <-4         { -x +3k, if x ≥-4

Q: Find ·S= y dy 0(√3+2-5) (5√3+2-1+24)+C 0² (√y+2-5)(-5√/y+2+y+21)+C 03/(√3+2-5) (5√y+2+y+21) +C…

A: On solving this we will get

Q: Consideri x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 3/8 1/4…

A:

Q: Consider J x sinx cosx dx = f(x) sin2x-g(x) cos2x + C. What is the value of f(1) + g(1)? A) 1 B) 1/2…

A: We have to find the integral

Q: Evaluate 3x5 3x4+6x³3x² - 6x S₁ x²-2x-In x² - 4x 2 x²–2x 2 x² - 4x (x-1) 1/6(x+2) 16/3 (x+1) 1/2…

A:

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

A: The simple use integration

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? A) 3/8 B…

A:

Q: For the function f(x) = 2x4 - 16x2 , find and identify any extrema (maximum/minimum) using the…

A:

Q: S- For x 1/2 U 4u U dx and using the substitution -du -du -du 4u 4- (21²) ² -du u=x1/2, the…

A: The objective is to find the correct option.

Q: 19

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Q: Question 1 S x 1/2 dx and using the substitution = x 1/2, the resulting integral takes the form:…

A: The objective is to find the right option.

Q: π 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=—. 4 4 (A)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: QUESTION 7 Evaluate 3x5 3x4+6x³-3x² - 6x x²-2x-In O x²-4x 2 O x²-4x 2 O rẻ-2r 2 [(x-1) 1/6(x+2) 16/3…

A:

Q: QUESTION 19 A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are…

A: Solution of the problem as follows

Q: Use double integral polar coordinates to find the area of the portion of the surface 3z = xy that…

A: Given problem:- Use double integral polar coordinates to find the area of the portion of the surface…

Q: What is the value of f(1) - 168 in x3 Inx dx = f(x) ((1/4) Inx - B) + C? 02 8 8 0 3 1

A:

Q: The table below shows the average rates of change for points near In (2) for the function f(x) = e +…

A: We have to find the instantaneous rate of change

Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?

A:

Q: Skew lines are lines that are not parallel, yet do not intersect such as in this diagram: # Show…

A: We need to show that the 2 given lines are skew

Q: .2 dx x²+2x+5

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: ve [No.5] -2 2 зах 9x²-6x+5

A: On solving this we will get

Q: 3x5 3x4+6x³3x² - 6x B с + + x + 1 x+m Consider S А Sx √x-m+A x-m+ 14/3 17/6 6 5 -dx. Using the…

A: solution

Q: Question 8 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A: Solved below.

Q: b The volume of the solid generated by revolving the region bounded by x2-4y and y2-4x about y=4 is…

A:

Q: Let T be the tetrahedron with vertices (4, 0, 0), (0, 5, 0), (0, 0, 5) and the origin. Write f(x, y,…

A:

Q: m-1 1 + m 1 m m+2 ¹tan (+2)(x) + —tan" (x) + C m-1 1 + m 1 m+3 Ɔ+ (*) (1 - 1)² + (x) (1 + m) U²1-…

A:

Q: What is the value of f(1) - 168 in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 1 3 2

A: Let's evaluate given integration.

Q: [sin(mx) cos(nx) dx 9. Suppose m and n are constants and m #n. Evaluate 1 1 -cos(m− n)x+ -cos(m+n)x…

A: Evaluate the integral

Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx 1 Ⓒ[con(-)x-cos(m + n)x] + C B −…

A:

Q: Evaluate Stan" (x) see³x dx

A:

Q: Question 7 Consider S= Sx- x-m+ A) 5 3x5 3x4+6r³-3x²-6x A B C -+ -+- x-1 x+1 x+m 17/6 14/3 -dx.…

A:

Q: Question 9 The integral - dx (x²+4)² can be transformed to which of the following when trigonometric…

A: The given  integral can be transformed to which of the following when trigonometric substitution…

Q: Evaluate sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

A: Given:∫sin (ln x) dx Let I=∫sin (ln x) dx By using integration by parts method, ∫udv=uv-∫vdu Let…

Q: To evaluate [x²cosx dx' -2 / COST. 2sinx -2/cosx 2 / COST x2sinx – 2x cost x2sinx+2x cosx − 2 x2sinx…

A:

Q: For the function f(x) = x6 – 10x4 , find the points of inflection.

A:

Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx. 1 1 A -sin(m-n)x+ - sin(m+n)x]…

A: Solution is here

Q: Consider fx sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? O 1/4 1 O…

A:

Q: To evaluate x²cosx dx' x2sinx+2x cosx – 2 x2sinx+2x cosx – 2 x²sinx- – 2x cosx — 2 x2sinx – 2x…

A:

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1…

A:

Q: dx 3-2x-x2

A: Since, the student has posted multiple questions and mentioned to solve no. 5 but there is no no. 5…

Q: The velocity of a projectile is found using the function v(t) = 2 + 16t and is measured in feet per…

A:

Q: QUESTION 13 Find the area bounded by the trigonometric curves 3.667 square units 1.414 square units…

A:

Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

A:

Q: What is the value of f(1) - 16B in ∫ x3 lnx dx = f(x) ( (1/4) lnx - B ) + C?

A:

Q: dx (x²+4)² The integral A÷/csc²³ Ⓒ + /sec²0 B C Ⓒ + / sin² D 8 csc ³0 de c³0 de cos²0 de sin ²0 de…

A:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A:

Q: S sec²0 do 1+tano seco tane de seco - 1 The integral O 1: S S x dx x²+√√√x²-1-1 coso do 1-sino sino…

A:

Q: Evaluate A B Ⓒ D S= x² - 4x 2 x² - 4x 2 x2-2x 2 x²-2x-In 3x5 3x4+6x³3x² - 6x - (x-1) 1/6(x+2) 16/3…

A:

Q: Find the area bounded by the trigonometric curves y=sinx and y=cosx from; x== 3.459 square units…

A: Area bounded by the curve .

Q: 5ñ Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=to x== 4 (A) 3.667…

A:

Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx - B) + C? (A) 1 B) 2 C) 0 D 3

A: