Use the Midpoint Rule with n= 3 to approximate the integral. S √x + 1dx = [Please enter your answer two digits format(For example: 3.14)]

Q: Problem 11.4. Find all local and global extrema of the following functions in the indicated regions…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Evaluate 4 2 4 X 13.402 -13.402 13.042 √x + 3 3 X 4 - 4 + 4 + 1 + x)\dx = None of them -13.420…

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Q: a. (f+g) (x)  the problem is f(x)=3x+4; g(x)= 2x-3

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Q: b) Find the value(s) of z such that the angle between the vectors U₁ = and U₂ = is equal to 30°.

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Q: Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct…

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Q: H.W: Solve the differential equations: dy 1. +2y=ex dx 2.2 dy dx −y=ex/2 159

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Q: Given the points A(-8, 2, 3) and B(-8, 2,-4). a). Write parametric and symmetric equations of the…

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Q: :.S •√ √x(x² – 3x + 2)dx

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Q: (d²4)(d-2)y=0

A: To find the roots of  (d2 - 4)(d - 2)y = 0.

Q: dx dt Please give an exact answer. If z² = x³ + y², = dt 1, dy dt Provide your answer below: = -1,…

A: The objective of the question is evaluate the derivative of the given function at given point.

Q: True or False: We have Select one: True False 2 1² x²dx > 2 Si 1 x³ dx 3

A: Given ∫12x2dx>∫12x3dxx3312>x4412233-133>244-14483-13>164-1473>154Multiply 12 on both…

Q: mx + + 1) (x+1)^ then value of m +n is (where n is a prime number) X-2 dx equals ex + C

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Q: •SCOS'E TIFLAME Cos² tant 24. Sa sec²t Cos² t√u и dt du u= It tant du sec²t dt = J dt = Sec²t what…

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Q: : Evaluate the integral: √2 3y 8-x²-y² 1. JIJ 00x²+3y² dzdxdy

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Q: The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x…

A: The function is P(t)=0.02(12+2t)3/2+1

Q: Find all solutions of the equation in the interval [0, 2π). cos3θcosθ+sin3θsinθ = -1 Write all…

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Q: Let f:R-R,g: RR and h: R→→R be differentiable function such that f(x)=x²+3x²+4 g(x)=x and…

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Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: 1 The linear approximation of tan-6° is? approximation of 3√9 is? 2 The linear

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Q: Q2: solve the differential equation x²y' = y² + xy + x² subjected to the condition y(1)=1 and give…

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Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

A: We want to select the correct option.

Q: A rectangular lot has an area of 1600 sq m. find the least amount of fence that could be used to…

A: Solution of given question is written in below steps.

Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: True O False 6 edx

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Q: ketch the figures and show step by step solutions. Find the area bounded by the curve y = x2, the…

A: Topic = Area

Q: 2. Find the area of the region inside the cardioids r = a(1+cos), a>0

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Q: Which of the following point is the projection of the point (0,4, 2) on the yz-plane? Select one: O…

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Q: If a x i = 0 and a x j = 0, then Select one: O O a is equal to k a is any vector perpendicular to i…

A: We know that if two vector are collinear then their cross product is zero, Therefore 'a x i =0 '…

Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

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Q: If then, find f'(x). O f(x) = ²* √e² + 1 dt, 2√e +1 O None of them. O Ve +1+ C O √e™ +1 e

A: Use fundamental theorem of calculus for finding the derivative

Q: Define R as the region that is bounded by the graph of the function f(x) = -2e, the x-axis, x = 0,…

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - Z = z…

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Q: Consider the differential equation x2y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: First change into linear ode with constant coefficient then solve

Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R². Select…

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Q: Find the Wronskian of the functions f(t) = 6e sin(t) and g(t) = et cos(t). NOTE: Your answer must be…

A: The given functions are;  f(t)=6etsint and g(t)=etcost.

Q: J sin²(x) cos(x) dx

A: We have to evaluate ∫sin2x cos2x dx.

Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

Q: B-Find the area of the region inside the curve r-1+cose and outside the curve -1 and graph the two…

A: Equate both equations to find limits and intersecting points of these curves

Q: Problem 3. Solve below definite integrals In(x) (a) fate" dt. (6) fated. (c)(3) dz. 3te5tdt, 31…

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Q: B-Find the area of the region inside the carver-1+cose and outside the curve -1 and graph the two…

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Q: y' = x - 4xy

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Q: 2. (x² + y² + 1)dx + x(x − 2y)dy = 0

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Q: Find the solution of the following initial value problem. 100y" - y=0 y(-10) = 1, y'(-10) = -1 y(t)…

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Q: following function L sin2t cos3t

A: let  f(t)= sin2t cos3twe use the formula 2 sin  A   cos B = sin(A+B)+sin(A-B)

Q: Find the derivative of the function y - 4 sec¯' (x + 2). (Use symbolic notation and fractions where…

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Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: (1) Suppose directional derivatives of the scalar function f(P) at a point P = (x, y), in the…

A: Solution: Let ∇f=xi+yj Then ∇f.3i+4j5=1⇒xi+yj.3i+4j5=1⇒3x5+4y5=1⇒3x+4y=5............(1)

Q: Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

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Q: Find an equation of the tangent line to the curve at the given point. y (4,16) (Express numbers in…

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Q: Graph the function. n(x) = x -3 for-4<x<-2 for -2<x<4 -x² +16 for x ≥4

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Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

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