10 ²S₂" f Given that answer= f(x)dx 14 3' *f*f(z)dz? 10 what is

Q: Find the integral of ([sin(x)]^6){[cos(x)]^7)dx from x=0 to x = pi/2. 14/1001 15/2002 16/3003…

A: …

Q: Evaluate the iterated integral 4x²y³ dxdy

A:

Q: Find an antiderivative F(x) with F'(x) = ƒ (x) = 11+ 15x² +14x6 and F (1) = 0. Remember to include a…

A:

Q: d) lim (xe”* +1)/ x->0*

A:

Q: Answer both the question11) Find the payment necessary to amortize the loan. Round to the nearest…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as a…

Q: D O O O 59 2 04 Question 16 Evaluate lim N-00 12 01 3|2 • Σ [()* - (-)] ++ N by using it as a…

A:

Q: Find the volume of the solid generated by revolving the region about the y-axis. 3π 4 ‚ x = 0, y = -…

A:

Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

A: We can answer the question as below.

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A:

Q: 5.5x³(a²-x²) ²/dx

A: The given problem is solved below in detail.

Q: Use an appropriate test to determine whether the following series converges. 8!!! Σ 9 3 k=1 ³√k…

A:

Q: 3) Find the sum of the series (x-8) as a function of x on the domain, and say what the domain is.…

A:

Q: Use the Root Test to determine whether the series converges. 3k² k Σ k+4 k=1 Select the correct…

A:

Q: 2ucot 2x

A: Please see the below picture for detailed solution.

Q: 3T and answer the following questions. Consider the follow series: 0 (-1) 1 a) Use the Ratio Test to…

A: This is a problem related to series and sum calculation. Please follow the procedure given below.

Q: Write an equation for the ellipse Q

A: solution is given below

Q: Find the limit and determine if the function is continuous at the point being approached.

A: This question can be solved using the concept of limit and continuity.

Q: Given that the graph of f(x) passes through the point (8,8) and that the slope of its tangent line…

A:

Q: 3. [√1+√zdz

A: Given:             ∫1+zdz  Apply u-substitution             u=z+1→dudz=12zdz=2zdu       =2∫u23-udu…

Q: e. f. f(x) = cot(-) cot(-) I f(x) = sin(x³ - x)

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And the common…

Q: Write an equation for the ellipse. Type the left side of the equation in the box below. (x-3)² (+1)²…

A: solution is given below

Q: Find the average value of f(x, y) = x² y over the rectangle R with vertices (−3, 0), (−3, 8), (2,…

A:

Q: Calculate Sc(x + y) ds, where C is the rectangle formed by de x=0, x=4, y= -1 and y=1

A:

Q: Consider the function f(x) = 1 - 7x² OI function on this interval, i.e. f(3)-f(-4) 2 4)

A: answer is in next step . please give a like !!

Q: below

A: We have to choose the correct option from the given options according to the given graph of line

Q: Write an equation for the hyperbola shown in the graph y=-21 The equation for the hyperbola above is…

A:

Q: Rewrite the expression in the form k. xn. 5 47²³_ 2√x 4x

A: We have find the solution

Q: Verify the Divergence Theorem for the vector field and region: F = (3x, 5z, 3y) and the region x² +…

A:

Q: f(x) = ³√x, a=27

A:

Q: D Question 24 Suppose that P= f(t) is the population (in millions) of the country & years after the…

A: We can find the answer as below.

Q: section to answer the questions below. -4x-8y-36=0 What type of conic section is the equation?…

A: We will make the perfect square of the given equation.

Q: Evaluate th

A: The given integral is 2 , limit from 3 to 7.

Q: π/4 [*¹. f(r, 0) r dr de The region of integration is bounded by 3/ cos(0) A. y = 0, x = √√√√9 - y²,…

A:

Q: Find the volume of the solid that results by revolving the region enclosed by the curves y=4-2r²,…

A:

Q: Consider the function f(x) Find the value of A: A = = - 52 +82 5. f(x) has a critical point at x =…

A:

Q: Determine the work done by the force F"(x,y,z)=(x²y,xy). to move a particle along the line segment…

A:

Q: ants a and b such that the function is continuous on t 8, 7 ax+b, -8, x≤-3 -3<x<5 x 25

A:

Q: 3. The difference quotient is defined by 7(x+h)-f(x). Find and simplify the difference quotient if…

A:

Q: Use a graphing utility to graph the curve defined by the parametric equations x(t)=3t sint, y(t) =…

A:

Q: Find parametric equations that define the curve starting at (6.0) and ending at (7.9) as shown. Let…

A:

Q: 30. A trough has ends shaped like isosceles triangles, with width 3 m and height 4 m, and the trough…

A:

Q: 6. (y -x + xy cot x) dx + x dy = 0 Answer: xy sin x = C + sin x - x cos. x.

A: We have to solve this question with exact formulation.

Q: =ind. SE S 25453

A: Let's find inverse laplace of given function.

Q: 5. The motion of the shock absorber is modelled by the function, h(t) = e-0.5t sint. 3 a) Identify…

A:

Q: H.w: Find the Fourier series for the following functions: 1- f(x) = 1+ 1- - 2x x 2x x -π < x < 0 0 <…

A: Fourier series of f(x) in the interval [a, b] is  f(x)=a02+∑n=1∞anCos2nπxb-a+∑n=1∞bnsin2nπxb-a where…

Q: dt 1²+8t+20

A: We can find the answer as below.

Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

A:

Q: Evaluate the Integral using the following values. [x³ dx = 260, [°x dx = 10, [° dx = 2 L 122-…

A:

Q: the

A:

Q: 6.What do you call the properties of vector when their cross product or dot product is equal to…

A: