Why 3^(x+2)-10×3^(x)+1=0 is -2 or 0?

Q: Given F(r, s, t) = r(3s² + 3t²), compute: Frst

A: Solution of question is written in below steps.

Q: Evaluate the double integral / F(r, ®) dA. "* (3 cos(8) r dr de Sketch the region R. 7/2 A/2 2 1 2 2...

A: To evaluate the given double integral: ∫0π∫03 cos θr dr dθ

Q: (x²+6y²)dx – 4xydy=0

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

A:

Q: 6. f(16) = 63. VX Find f such that f'(x) = %3D %3D

A: Topic = Integration

Q: 5. Find solution of the system of linear equations. Write clean, and clear. Show steps of calculatio...

A: This question is based on solution of system of linear equation using matrix.

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in...

A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: x+ 400р %3D2500

A: answer of given question is in step 2

Q: 25 The fundlion fox) is represented in the following table. Give the best estimate for f(x)dx 10 10 ...

A: ∫1025 f(x)dx here values are different for different interval ∫1025 63+82+115+120dx ∫1025 380dx [380...

Q: Determine the value of C in on the antiderivative of F(X)= Sin°(x)cos°(x) for x = 0.882 and y = 0.3....

A: Given: F(x) = sin3xcos5x We know that  We have to find ∫sin3xcos5xdx Let , I=∫sin3xcos5xdx

Q: Find the area bounded by y= x^2-2x and y= x. Also illustrate the graph

A: Topic = Area

Q: A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x) dollars ...

A: Given:  A small tie shop finds that at a sales level of x tiles per day its marginal profit is MPx d...

Q: 5) Find the distance from D to the plane containing A, B, and C NOTE: Enter the exact answer. Distan...

A:

Q: find the particular solution to y’’ + 5y’ − 6y  =  6t + 7

A: y"+5y'-6y=6t+7Auxillary eq f(D)=D2-5D-6Q = 6t+7Particular Integral be denoted by PIPI=1f(D)QPI=1D2+5...

Q: 5 and a is an angle in quadrant 1. 13 Suppose that a and B are angles given as follows: sin a cos B ...

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: Consider the points A(3, –3, 3), B(4, –5, 0), C(-3, –4, 0), and D(6, 2, –6). Find the volume of the ...

A:

Q: Average Life Span One reason for the increase in human life span over the years has been the advance...

A:

Q: |Test the series for convergence or divergence. n2 11. Σ (-1)"+1 3 n=1 n' + 4

A:

Q: Evaluate the definite integral. Use a graphing utility to verify your result. (9 u - 6 du

A: Given query is to eveluate the integral.

Q: Consider the parallelepiped with adjacent edges u = 8i + 2j + k v = i+j+ 2k w = i+ 3j + 4k Find the ...

A:

Q: nt Use the model A=Pe" or where A is the future value of P dollars invested at interest rate r conti...

A: Given A=P(1+rn)nt

Q: expenditures were $1588.08 billion in 2002. a. Find a function that gives the total expenditures x y...

A:

Q: Find the solution of the initial value problem y" + 2y + 10y = 0, = 0, y () = 9. %3D |

A:

Q: Find the length of the following parametric curve. x = 6 + 916, y = 5 + 6t°, 0<t < 2.

A: solution is given below

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Find an equation of the tangent plane to the surface z = 2x² + 1y² + læ + ly – 2 at the point (2, 5,...

A: This question is based on 3d geometry.

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs o...

A: This is a problem related to polar integral. Assume the x and y in term of polar and then we will so...

Q: 3. Find an equation of tangent line to the given function at the given point: f(x) = 1+ arctan(x/4),...

A:

Q: Use algebraic and/or graphical methods to solve the inequality. 10x° -x* <0 Select the correct choic...

A:

Q: Consider the following graph. y 10- 5 X -3 -2 -1 2 3 -5 -10 Identify the parent function represented...

A:

Q: 6. The coefficient of Sin(x) in the antiderivative of F(x) =|cos is Blank 1 (use fraction form not d...

A: This question is related to Integration, we will solve it using given information. 

Q: B a A Note: Triangle may not be drawn to scale. Suppose a = 2 and b 11.

A:

Q: Of all rectangles with area 25, which one has the minimum perimeter? Of all rectangles with area 25,...

A: We will find the dimensions with the minimum perimeter. 

Q: 5. Obtain the particular solution for the given differential equation when SHOW YOUR COMPLETE AND CL...

A: topic- differential equations

Q: O y" + xy" + 3y² = 5

A: Given that the four differential equations To find:- Which is 3rd degree differential equations

Q: 4. Find Maclaurin series for f(x) = xex . %3D

A:

Q: zn 3n+1 7. 4-2n nニ」

A:

Q: A boy is selling lemonade throughout the hot summer. Suppose the number of cups sold is given by the...

A:

Q: dP to find the solution to the problem dt K 7. Use P = 4P Р() — 4. 1 - 1+ Ce-at 20

A:

Q: (22 – a + 1)y/ = 4(1 – 2a)y

A:

Q: 1. Evaluate > (9 × 10-*) if possible. If not possible, explain why. As part of your solution, state ...

A: Given: ∑k=1∞(9×10-k)

Q: Assignment: Determine the derivative of the ff. functions. 1. y = 8x5 - 2021, 5th derivative

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (8,...

A: The objective is to find the equation of the plane. 

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

A:

Q: Hello, I am stuck on the problem. I was hoping for some help. Thank you. MacQuarie Island is a s...

A: MacQuarie Island is a small island about half-way between Antarctica and NewZealand. Between 2000 an...

Q: Use the method of variation of parameters to find a particular solution of the differential equation...

A: For given differential equation we have to find the particular solution                   4y"- 4y'+y...

Q: f(x) = x5 – 2 (a) Find the inverse function of f. f-1(x) =

A: follow next step

Q: In each equation in Column A, find dY. Match the Column B. Write the letter that corresponds to yo C...

A:

Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer do...

A: