Write the sum in sigma notation 52 +55 +58 +61 +...+ 145 A ΣΒ j=1 A= B= Hint: The answer for A should be a number and the answer for B should be an expression.

Q: Drag and drop your answer into the box: (a) An antidervative of f(x) is = 4x4 + 2x² - 5 (b) The…

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Q: Determine whether​ Rolle's Theorem applies to the following function on the given interval. If so,…

A: Rolle's theorem states that if a function f(x) is continuous on the closed interval [a, b] and…

Q: Sketch the space curve represented by the vector-valued function and give the orientation of the…

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Q: (a) [1 Show that the following equation represents a sphere, and find its center and radius. x² + y²…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 4x2x² g(x) = c₁f₁(x) + c₂f₂(x) +…

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Q: The data given in the Table below is produced from a Linear Difference Equation model of the form: Y…

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Q: Find the absolute maximum of f(x) = x3 −6x2 + 12x + 3 on [0,3]

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Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: 1₁ f(x)dx = 6 ln([x]) - 6 ln(|x]) — -—-cos(5x). -cos(5x) - 3e + x² + 6x + C

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Q: A. ſºf(x)dx = B. If the vertical red shaded area in the graph has area A, estimate: ſ'ƒ(x)dx = (Your…

A: The graph is given as ,

Q: 4 Determine -2 u tv and Give a is i and v и So Keat orthogonal to ²-5²³ lutô| = |a²|+12²1…

A: Given the vectors u+v and u-v are orthogonal and  u+v=u+v To find u and v .

Q: Given the function f(r. y) = 1² + y² + 1 • For every point (r. y) = R², compute the gradient and the…

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Q: If f '(x) = 0 and f"(x) <0, then the point (x, f(x)) is a local minimum. a) always b) sometimes c)…

A: Please note that following the guidelines only one question is to solved.

Q: Use identities to find values of the sine and cosine functions of the function for the angle…

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Q: Let f(x) = { 2x-3. 3x²+2, if x < 3 if x ≥ 3 be a piecewise function. Evaluate Sof 0 f(x)dx=

A: We can find the integration of the piecewise function as below.

Q: 25 x4+X'+2x х4 +X3+2x2+3x-2 x2-3х +2

A: We need to evaluate: ∫x4+x3+2x2+3x-2x2-3x+2…

Q: 9. Following shows the graph of function g(x). The arrow means the function will leads to infinity…

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Q: 2) Is A P Q R a right angle triangle P(-5,3) Q(-7,8) R(3, 12) and it. name

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Q: Given f(x,y) = f h(t)dt Where h is a continuous function of one variable such that h(0)= 1 and h(1)=…

A: We have to find Fx (0, 1) and Fy (0, 1) and local approximation.

Q: Let f be a function given in the graph below. Note that the domain of f is [-3, 4]. a) Does f have…

A: Given the graph of a function. To determine whether the function has an inverse on the given…

Q: A B 3-5 In Ix-31+ C X --5 In Ix-31 + C x3 3x²+5 (x-3) S: C dx x3+5 In Ix-31+ C D x3 +5 In Ix-31+ C

A: Evaluating the indefinite integral

Q: Sketch the region enclosed by the curves and find its area. Enter the exact answer. Area = y = 5x²,…

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Q: onds and S(1) is the distance in feet from the top of the building. What was the average speed of…

A: topic :- application of algebra

Q: Calculate the tripe integrals SSS xyz dxdydz where B é the block 0≤x≤2; 0 ≤ y ≤ 1; 1≤z≤2

A: We have given in question, triple integration of xyz with respect to x, y, z

Q: In (x² + y²) 2 2 VX x+y Integrate f(x,y)== over the region 1 ≤ x² + y² ≤e5.

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 √1-25x² Y NOTE: Enter the exact…

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Q: determine whether the given series converge or diverge. 20. (-0.99) ¹+1 n=5

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Q: Find r'(t), r(t), and r'(to) for the given value of to. Then sketch the space curve represented by…

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Q: Calculate the mass of the sphere x² + y² + z² ≤ 4, the density at the point p(x,y,z) is proportional…

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Q: Find r'(t) r(t) = e-ti + 7j + 4teck r'(t) = (No Response) Need Help? Read It Watch It

A: Let's find derivative of given function.

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

A: We have to analyze and sketch a graph of the function and find any intercepts, relative extrema,…

Q: T Find the net area and the area of the region bounded by y = 2 cos x and the x-axis between x = -…

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Q: Solve the given differential equation by undetermined coefficients. y" + 2y = -18x2²x y(x) =

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Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

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Q: k Ĵ S x=0&y=0 x cos(xy) dydx =

A: Evaluating the double integral

Q: Question 1 Let a = 2i − 3j + 2k and b = i − 2j – k. - Determine whether the vectors a a) and b are…

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Q: Find the Maclaurin series of co E cos(x³). n=0

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Q: A tenant dropped a spoon from the top floor of her apartment building and it fell according to the…

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Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and 6=. (a) Find the unit vector u…

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Q: Write v as a linear combination of u and w, if possible, where u- (3, 2) and w(2, -1). (Enter your…

A: Given :- u =(3,2) , w=(2,-1),v=(-6,-4)  Write v as linear combination of u and w

Q: S₂ (1-t) ² dt 2

A: Solution

Q: Do the first two terms of the Taylor series by hand where X_0 = 1

A: Given :∫1232xe-xdx

Q: An open-top box is to be made from a 18-inch by 42-inch piece of plastic by removing a square from…

A: Diagram of the mentioned box will  be as following

Q: Let g(x) - 1² f(t) dt, where f is the function whose graph is shown. f S

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Q: Sketch the function  f(x)=-x3-3x2

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Q: Evaluate the ff (show all steps) S COS (Inx) dx

A: See the details solution in below

Q: Evaluate the definite integral. 2 cot-¹(x) 1 + x² 1 - 1 dx

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Q: In the plane R², consider the parametric curve given by the equations Jx(t) = cos(t) + 2 y(t) =…

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Q: Please solve for part a of the problem provided in the photo below

A: Use partial derivative

Q: Find the largest interval centered about x = 0 for which the given initial-value problem has a…

A: We have to find the largest interval centered about x = 0 for which the given initial-value problem…