If A B (C) E +x+ (x-1)(x+1)(x-2) 11 3 - <-2 11 3 None 3 dx = + B +dx, then the value of C is equal to x-2 x+1

Q: Question Use the left-endpoint approximation to approximate the area under the curve of f(x) = +2 on…

A:

Q: 100t Consider the population function p(t) = t+9 a. Find the instantaneous growth rate of the…

A: The given population function is pt=100tt+9.   a. The objective is to find the instantaneous growth…

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: The integral [₁ face 8 dx S can be transformed to which of the following when trigonometric…

A: We have to solve above integral

Q: (-2-x)²+5 if x ‡ - 3 = 4x + 17 if x = -3 the following limits. Enter "DNE" if the limit does not…

A: The given function is: f(x)=(-2-x)2+5 if x≠-34x+17 if x=-3

Q: C) 8 square units

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x4 - 14y² lim (x, y) (0, 0)…

A: To find the limit of the function

Q: Evaluate Stan" (x) sec¹x dx- 1 A -tan ₂ (m+3)(x) + —_—_—_tan (m+1)(x) + C m+3 m+1 1 1 B −tan…

A:

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

A: Given the spherical tank with diameter 4m So the radius of the spherical tank R = 2m Weight density…

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integ…

A: Solution of the problem as follows

Q: Suppose m and n are constants and m‡n. Evaluate [sin(mx) sin (mx) cos(nx) dx 1 _____cos (mn)x -…

A: We have to solve integration

Q: The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by…

A: Given,The temperature. H. in degrees Celsius, of a cup of coffee placed on the kitchen counter is…

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

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: 14. Solve the initial-value problem dy dt = -2y + u₂(t)e¯¹, y(0) = 3.

A:

Q: Question 2 S y dy Find √x+2 A ² (√x+2-5) (5√/y+2+y+24) + C 3 ℗ ²² (√5+2-5) (5√/y+2+y+21) + C B…

A: GIVEN

Q: For x 1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: 4u -du 4-u U…

A:

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

A:

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

A:

Q: waluate Stan" (x) sec¹x de m 1 m+3 −tan (m+3)(x) + 1 m+2 1 m+1 1 m+1 1 m+1 tan n (m+2)(x) + — tan”…

A: We will evaluate the given integral as shown below

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

A: topic - integration by parts

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

A: We have to find the integral

Q: dx 3-2x-x²

A: We need to solve : ∫-10dx3-2x-x2

Q: The integral O [se Ss S S sec²0 de 1+ tane sece tane de sece - 1 O x dx x²+√√x²-1-1 sine de 1+ cose…

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

Q: What is the value of f(1) - 16B in √ x³ Inx dx = f(x) ( (1/4) Inx - B) + C? О о O 3 02 01

A:

Q: Sta tan" (x) sec4x dx _¹___tan (m + 1)(x) — —__¹___tan (™− 1)(x) + C m+ 1 m-1 ¹__tan (m + 2)(x) +…

A: To find the value of given indefinite integral.

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

A: Given :Region bounded by x2=4y and y2=4xRevolving about y=4

Q: the correct steps to evaluate cos²20 dº is 0 One of Ⓒ[-[²04 A de sin²20d0 0 0 [1²4] B de- cos 40d0…

A: We use double angle formula  cos(2x) =2cos2(x)-1  cos2(x) =(1+cos(2x))/2

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

A: To find the value of given integral.

Q: Which of the following is a polynomial function? C. 2x+7 A. g(x)=√x-7 y = B. f(x)=2*-5 D.…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

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

A: We have to find the value of f(1) -16B where it is given that  ∫x3lnxdx = f(x){(1/4)lnx - B }+C    @…

Q: For x 1/2 dx and using the substitution u=x1/2, the resulting integral takes the form: 4u -du 4-12…

A: We can solve the integral by using substitution .

Q: Evaluate 1 m+3 1 m+ 1 I M+2 T }}}+1 tan" (x) sec¹x dx I -tan (m + 3) (x) + m+1 1 -tan (m + 1)(x) +…

A: SOLUTION-

Q: The volume of the solid generated by revolving the region bounded by x²=4y and is to be solved using…

A:

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

A:

Q: Consider √(x-m. 3x5 -dx. Using the method of partial fractions, the given integral can be written as…

A:

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2=2y, the…

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: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)^2=2y, the…

A: Solution of the problem as follows

Q: 3. f(e-²x - 1) dx

A:

Q: dx 3-2x-x²

A: Evaluate the following

Q: dx The integral s can be transformed to which of the following when trigonometric substitution is…

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: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2=2y, the…

A:

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

A:

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: 53 3-2x-x²

A:

Q: Question 18 Find the area bounded by the curve y 8 square units 4 square units 16 square units 10…

A:

Q: Evaluate A B с D S= 3x-5 3x4 + 6x3-3x2 - 6x x² - 4x 2 x² - 2x 2 x² - 4x 2 x2-2x-In (x-1) 1/6(x+2)…

A: