Sketch the region bounded by the given curves, then find its area. 2. x = y2, x = y +6

Q: Y= cas Cex), Y= sinx, 0SXT

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Q: Find the area enclosed between the curve y = 9- x squared and line y = x + 7 A 2.5 B 3.5 4.5 5.5

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Q: 1. Use the Root Test to determine if the series en? n=1 (-1)"2* (2n2 – 1)n converges or diverges.

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Q: Identify the vertices and foci of the hyperbola with equation x2 = 1 92 402 The vertices are The foc...

A: We will find the vertices and foci. 

Q: 1 dx csc³(5x)

A: This question is based on indefinite integral.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: planes - parametric equation

Q: Solve the following equation using bisection method to find the root between x1=1 and x2=3 make 5 it...

A: Given,f(x)=3x3-10x-14We want to find root of function between 1 and 3Thereforef(1)=3(1)3-10(1)-14f(1...

Q: (2+3i '8+i Evaluate the expression Express the answer 1+2i) rectangular form.

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Q: find the area of the Shaded Part AUsing Polar y =2X

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Q: 7) Find cot x given : f(x)=- (simplify your answer) dx 1+csc(x)

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Q: given the system of equations: 4x(x2 + y - 11) + 2(x + y2 - 7) = 0 2(x2 + y - 11) + 4y(x + y2 - 7)...

A: We need to solve the given system of equations for x and y: 4xx2+y-11+2x+y2-7=02x2+y-11+4yx+y2-7=0  ...

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min....

A: As we know that; The expression for the volume of the sphere is: V=43πr3 Where; r is the radius of t...

Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following

Q: Find an equation of the tangent(s) to the curve with parametric equations E = t cos t, y =t sin t nt...

A: follow next step

Q: -2 -4 and D = 4 8

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: Question 8 Find the derivative of the function at Po in the direction of f(x, y) = 3x 2 + 4y, P o(8,...

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Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x = ...

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Q: S csc4 5x cot 5æ dæ

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Q: Find the solution of the following differential equation by Laplace transform with itial conditions ...

A: To solve the differential equation dxdt+2x=2 by the use of Laplace form. Given information: The init...

Q: Sketch the regien enclosed by the given curueS Y = xe*

A: Question- Sketch the region enclosed by the given curves: y = x2 e(-x) & Y= x e(-x)

Q: Sketch the region R of integration and switch the order of integration. f(x, y) dx dy 8 6 6 y 4- y 4...

A: This is a problem of integration. Based on the x and y limit we will sketch the region. 

Q: Find the area of the parallelogram that has u =i – 2j + k and v = 3j +k as adjacent sides. NOTE: Ent...

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Q: 1. |x² In x dx; u = In x, dv = x² dx 2. 0 cos 0 de; u= 0, dv = cos 0 d0 %3D

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Q: Let A,B be 2x5 matrices, and C a 5x2 matrix. Then(A-3B)C is * O not defined O a 5x5 matrix O a 2x2 m...

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Q: 25: Solve the following differential equation, od aace x(T/2) = 3 1 dx sco e de x2 csc 8

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Q: Find the first derivative of 2cos(2 + x³). a. -6x² sin(2 + x³) b. -x² (sin 2 + x³) c. -6x² (cos ...

A: daf(x)dx=adf(x)dx ; where , 'a' is constant. dcos (ax)dx =-a.sin(ax) dxndx=n.xn-1 . 

Q: Find the sum of 1, -1/2, 1/4, .... ∞. a. 3/4 b. 2/3 c. 1/7 d. 1/2

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Q: Solve using logarithmic differentiation.

A: We need to find differentiation.

Q: 1. Let f(x) = 1 – x2/3. Show that f(1) = f(-1). This means that by Rolle's the- orem there should be...

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Q: Let a = ci + jand b = 12i + 9j. Find c so that the angle between a and b is- 6' Round your answers t...

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Q: Find the limit. Use l'Hospital's Rule where appropriate ex + e-X - 2 lim x-0 ex – x – 1

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Q: Solve each system of equation using matrices (row operations). If the system has no solution, say th...

A: We have to solve system of equation using matrices (row operations).

Q: Valuate% I-S(t sinzo} de

A: To evaluate the given integral.I=∫0π12sin 2θ2 dθ    

Q: (a) Is ƒ one-to-one? (Answer "y" for yes or "n" for no below.) (b) Find ƒ¯(1). y 2 1 1 + -3 -2 2 3 -...

A: Given the graph of the function. With the help of this graph, we have to answer the following...

Q: 2+3i ++i Evaluate the expression 1+2i, 6-i, Express the answer in rectangular form.

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Q: 4) Find dy given: y (1-x)(1+ x )(1+ x³ )(1+x*) dx d'y given: y= (5x -3X7x+x) 5) Find dx

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Q: 1. Using the Root Test, determine whether the series (-1)"en: sin 2n '(금) is absolutely convergent, ...

A: This is a problem of series and sum calculator. Based on the general formula of series we will answe...

Q: 45-48 Find the exact length of the polar curve. 48.r =2(1+cos 0)

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Q: Express the function f(x) = g(x)^x) in terms of the natural logarithmic and natural exponential func...

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Q: up 4+y 10 -b -8 -7 -6 -5 -4 -3 -2 -1 3 4 5 6 7 8 10 -2 3 -4 -6- Give the equation for the ellipse gr...

A: We can find the equation of ellipse from the graph as below.

Q: 21 Find the equation for the parabola that has its focus at the 2 and has 4 11 directrix at æ = 4 eq...

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Q: Find the derivative of the following function. f(w) = 8w° + 5w* + 4w %3D f(w) =D

A: We can find the derivative as below

Q: 7. Find the equation of the normal line to the curve x+ = 2 at the point (1,9) 3x %3D

A: Simplify the equation of the curve: x+y3x=2

Q: Determine where the function is concave upward. ​   ​f(x)x^4-2x^3+7x+5

A: Given: - The function is, f(x)=x4-2x3+7x+5 To determine: - The concave upward of the given function.

Q: The function y = 2x2 for -3 ≤ x ≤ 3 is given. a) Plot the graph b) Find the gradient at x = 1

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

A: As per our guideline, we are supposed to answer only the first question, get remaining please post a...

Q: sec (7x)tan' (7х)dx

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Q: Question 3 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x3 ...

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Q: y

A: