Findithe equation fthe plane entrining the point (7-2-5) and uperpendcular to the line through the printe (-3,0,4) and (3,2,1-

Q: Find the area between the curves. 2 y =x - 10. y = 8 - 3x The area between the curves is (Type an…

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Q: Problem 4 Use the rules of differentiation to to find the derivatives of the function (a) f(x) =7–…

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Q: 2. Circular Rings/Washer Method a. y = x2,y = 4x, about the x – axis %3D -

A: Volume = 428.93 cubic units The solution is given below in detail.

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Q: In the appropriate interval of convergence, we know that then we %3D 1. 1 can deduce, by applying…

A: We have to find to check the correct

Q: For f(x) = 2x - 8x° +3 find the following. %3D (A) f'(x) (B) The slope of the graph of f at x = 1…

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Q: Find the area bounded by the given curves, axes and/or lines. 1. y2 + x – 4y = 5; y-axis 2. y = 3x –…

A: Solution is given below:

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

A: Here we have to use the concept of derivatives.

Q: Find the indefinite integral. Check your result by differentiating. 10x dx Step 1 Observe that is…

A: ∫un du =un+1n+1+C

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: Let B be the region in the first octant inside both x + y + z? = 1 and Vx2 + y² . Z. 3= a) Find the…

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Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. %3D r(t) = (4 e*…

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Q: Use substitution to find the indefinite integral. 6x + 5 -dx (9x? + 15x) 2 S 6x + 5 xp. 3 (9x? +…

A: The detailed solution is given below Thank you

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Q: Which of the following is TRUE about logarithms and logarithmic functions? i. The argument…

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Q: A) Find f(x + h) and SIMPLIFY. f(x + h)%3D B) Find f(x + h) - f(x) and SIMPLIFY. f(x+ h) - f(x) =||…

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Q: . Find the general solution to y + 2x = 5y³. dy . Solve the initial value problem of (sin x) = y cos…

A: Topic:- differential equations Note :- as per our guideline if more than one question uploaded than…

Q: Solve the initial value problem forr as a vector function of t. d'r - 2k dr? Differential equation:…

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Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

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Q: 3.2 Inductive Reasoning Use inductive reasoning to make a conjecture. Note: The numbers 1, 2, 3, 4,…

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: Use the tabular method to evaluate the integral |(x3 + 2x – 1) cos(4x)dx

A: To evaluate the following integral using tabular methodI = ∫x3+2x-1cos(4x)dx differentiable function…

Q: (x-2)² y² =D1 5) %3D 81 36

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the critical point of the function f(x, y) —7- 5х — бх?+ 5у — 4у? This critical point is a:…

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Q: Given the vector u with magnitude 3 and direction 185°, and vector v with magnitude 6 and direction…

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Q: Find the volUme OF the solid obtained by rotating about the y-axis the region boUnded by y= x° the…

A: Follow the procedure given below.

Q: Show that the function f defined by (x, y) = (1, –1) f(x, y) = r? + y (x, y) # (1, –1) x + y is not…

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Q: ) Find eigennwaly gse for -5- OA= L-4 to -구

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Q: Which of the following properties of the logarithmic function in the form g(x) =log.(x) where a >0…

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Q: Find the area of the region that is enclosed between y = 11x? – 2³ + x and y = x? + 25x. The area is…

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Q: -3 dx 2 x2+1 In|2| Option 1 Option 2 In|2| 2 In|2| Option 3 Option 4 112 312 112

A: A detailed solution is given below.

Q: Differentiate the function. t(t? + 1)4 n 8t – 1 g(t) = In %3D

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Q: f (x) = x³ + 4xª + 3x³ – x² + & 1. ,2 -

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Find the slope of the tangent line to the curve - 22? – 3xy – 4y = 115 at the point (1, – 3).

A: The detailed solution is given below Thank you

Q: Maximum Area An animal shelter has 176 feet of fencing to enclose two adjacent rectangular playpen…

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Q: Find the velocity and acceleration vectors in terms of u, and ug. de r= a(7 - cos 0) and = 6, where…

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Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = ( - t+ 4)i +…

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Q: Find the cost function for the marginal cost function. 0.05x. C'(x) = 0.03 e fixed cost is S10 C(x)…

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Q: Express the slope of each diagonal line (the one side of each shape which is not horizontal or…

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Q: The following integral may be solved using substitution. Choose a function u that may be used to…

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

A: P(x) has roots of multiplicity 2 at x=1 so (x-1)2 is a factor of P(x).  P(x) has roots of…

Q: Use implicit differentiation to find the equation of the tangent line to the curve xy° + xy = 16 at…

A: The given curve xy3+xy = 16  . We have to find tangent line to the curve at the point 8, 1. Let the…

Q: Jse substitution to find the indefinite integral. dx Describe the most appropriate substitution case…

A: Given query is to find the value of the integral.

Q: 14. xdx + sin? () [ydx – xdy] = 0 %3D

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Q: Given y = u28 and u = 5– 3x?, find dy/dx. A. = 168x(5 - 3x?)27 D. dx = -28x(5 – 3x²)²7 dx dy В. dx…

A: As we know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2   (1). Given: y=u28…

Q: Evaluate dx -31 x a,

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Q: 1. Determine the exact value(s) of k for which the planes x– 2y + kz + 7= 0 and x– 2y – 2 = 0 have…

A: Note: According to our answering guidelines we have to answer only one question if multiple…

Q: 7. Find f(x) given: 2 f" (x) = 48x 6x + 1 and f (0) = 1 and f (0) = 2 %3D

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Q: Find an equation for the plane through the points (3, 4, 33), (2,1 -2), (0, 1, –1). The plane is

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