We must integrate y = (8x-x2)-(2x) = 6x-x². The limits on the integral correspond to the smallest and largest possible x-values where the two graphs intersect, and so will be (6x-x²) dx.

Q: Find the partial derivative of z with respect to x (32) for z = (3x² + 1) cos(x²y) O None of the…

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Q: 2.1 q h(q) 11 0.9 1.2 1.5 1.8 20 35 61 108 Estimate h' (1.5) using the table above. h' (1.5)~

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Q: Solve the following differential equations of d²y dx² +9y=2e³x +18x+18

A: The given differential equation,      d2ydx2+9y=2e3x+18x+18

Q: A firecracker shot straight up in the air has a height s, in metres, at time t, in seconds, given by…

A: Let xt be the curve followed by the object, then the formula for finding the instantaneous velocity…

Q: What is the bounded region between the parabola x = -y2 and the line y = x + 6. Round the answer…

A: This question can be solved using the concept of area bounded by two curves.

Q: Find an equation for the tangent plane to the surface z + 1 = xy² cos(z) at the point (1, 1, 0)

A: Solve by eq

Q: Determine whether the series Σ1 is convergent or divergent. If it is convergent, find its 3n 4-1…

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Q: √x²+25 - dx= x X=5secØ and Ø = sec الخيار رقم 1 0 X=5tan and Ø = tan-¹) X=5sinØ and Ø = sin ||| خيار…

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Q: . Given 1 [(5x+ + = + 1) dx a. ) Evaluate the indefinite integral above b. Evaluate the integral…

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Q: If f(x) = In(4x + In(x)), find f'(1). f'(1) =

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Q: Find the scalar and vector projections of b onto a. a = (1,6), b = (-7, 1) compab = projb =

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Q: Find the equation of the line tangent to the graph of f(x) = 3 - 2x at x = 3. Provide your answer…

A: The slope of tangent on a curve f(x) at x = a is given by,  m = f'(a)  The equation of tangent on a…

Q: If the Wronskian W of f and g is t²e³t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

A: Given that,

Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

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Q: Find the first derivative of y = x (cos(In x) = sin(Inx)) O-2 sin(In x) O sin(In x) O 2 sin (In x) O…

A: derivative

Q: If y₁ and y2 are linearly independent solutions of ty" + 3y + testy = 0 and if W(y₁, y₂)(1) = 4,…

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Q: QUESTION 17 convex quadrilaterals can form a tilling of the plane. A. All B. Some C. No

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to sketch the graph of given function.

Q: dv -x +z=lz N

A: Given :dvdz=e-xz

Q: cel You are driving away from home. At noon, you are 212 miles away. Your velocity (miles per hour)…

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

Q: IF x=t, y=t², 2= 2/3 t3 and r is the position vector, denoted by r=ti + t²j + 3/23 t²³³ k dT @ Find:…

A: Acccording to question,Given equations,x = ty = t2andz = 23t3andr = t i^ + t2 j^ +  23t3 k^

Q: Repeated Irreducible Quadratic Factors: Examples Sa++²2a²+1 da

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Q: QUESTION 16 hexagons can form a tiling of the plane. A. All OB. No C.Some

A: Option (C) is correct.See below the answer and explanation

Q: 8. Use the Gaussian elimination method to solve for all the variables in the following set of…

A: Solving the problem by finding the value of x,y and z.

Q: Evaluate the integral. 1 √2√2 ²² √2-4° dt t³

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Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations.…

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Q: A conical vessel full of water is 16 ft across the top and 12 ft deep. Find the work required to…

A: Given: Volume of the conical vessel=13π r2h          where r= radius of vessel                    h=…

Q: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

A: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

Q: Ol: a: Graph the function: |y| + |x| = 1

A: Given problem:- Graph the function |y|+|x|=1

Q: Which graph represents the function f(x) =

A: Here the given function is fx=1x-1 It can also be written as y=1x-1 From the expression it is clear…

Q: 3. Evaluate the double integrals. -1/2 (a) [fx(1+ y²) d4; R is the region in the first quadrant…

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Q: = √x Q3-Find the volume of the solid (x + y) bounded by y = x = 3 and

A: Follow the procedure given below.

Q: ▪ Find equation of plane which is containing Points A(2,1,1) and B (7,5,2) and normal to 2 x - 3y -…

A: Please follow the next step.

Q: form: 2)If z=(2√3-2i)² then the angle 0 in polar 71 117 6 6 خیار 1 117 3 خبار 2 خبار 3 O

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Q: Q4-Find the complex roots of (4 + 4i)ō * (4 + 4i) (Demoivere's formula)

A: given

Q: (f) 2 dy (2y+3) 4x+5 dx y(1) = 3

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Q: Evaluate the integral f sin²x cos³xdx.

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Q: 3. (1+2x − ¹) dx (assume x > 0)

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Q: alla Find xy² R2² -dA, R= [0, 4] × [ - 2,2] x² +1

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Q: While buying a new car, Derek made a down payment of $1,000.00 and agreed to make month-end payments…

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Q: For which of the series below the Integral Test can be used to determine whether the series is…

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Q: EVALUATE: IF A = 3i-j-2K FIND: | (A+B) × (A-B)| | (A x B) | & B = 2i + 3; +!

A: We can solve as follows

Q: ▪ Let L:2 y+3 Z+4 X-2 = = and M: 2x - 3y + z = 6 are line and 2 5 plane and let P be the…

A: First we find the intersection point of line and panel

Q: A stereo store is offering a special price on a complete set of components (receiver, compact disc…

A: A stereo store is offering a special price on a complete set of components(receiver,compact sick…

Q: The interest on an account increases exponentially. If an initial investment of $4000 earns $1300 in…

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Q: Calculate the future value of end-of-month payments of $500 made for 4 years into an investment fund…

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Q: Evaluate the definite integral. 2 X dx 1 + 4x 0

A: Take (1+4x)1/2 = t

Q: Part 2. Find the Standard Equation 2. circle with center at (4,-5), diameter is 6 2

A: We have to find the standard equation of circle with centre at (4,-5), diameter is 6. We know that…

Q: Suppose that f(x, y) = y√³+1 on the domain D = {(x, y) | 0 ≤ y ≤ x ≤ 1}. D Then the double integral…

A: We have to find D.