Consider the following.   36 7   2x + 1 dx   0  Let  u = 2x + 1.  Find du. du =

Q: [x²_9, if X3 and values of & Such that Continuous at x=3

A: condition for continuse at x=3  is  limx→3+f(x)=limx→3-f(x)=f(3)f(x)=x2-9x-3,  if x<3cx2+10, if…

Q: Prove that f'(c) = limh→0 [ f(c + h) - f(c) ] / h using the definition of f'(c), given that f is a…

A: Answer is in step 2.

Q: ủ = 5ĩ – 5j+k and Ủ = 2í +147

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Q: Solve the two (the first one using integration by partial fraction and the second using integration…

A: Question 1,Given,            ∫3x3x+2+4x4+2x2dxTo find : Solve using partial fraction.

Q: If y = tanh-¹ (cosz), show that d'y dy (tanz) + dr2 da = 0.

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Q: tch the graph of y=tan(x) for one cycle.

A: we will plot the required graph.

Q: Find the sum: 161 6 5 + 2π 5 + 3π 5 + 4π 5 + ... + 23m 5

A: As we know the expression for the sum of nth term of the arithmetic sequence is: Sn=n22a+n-1d Where…

Q: Approximate [¹52x + 1 dx using each of the following Riemann sums with 3 subintervals of equal…

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Q: -IN sin (cos-¹x) = 1/

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Q: What is the antiderivative of dx/((1+x^2)^2)?

A: We have to find the antiderivative.

Q: WRITE THE RATIO up! 3 I Tic 3 DIFFERENT WAYS •4:3 प 14.4 to 3 5.7 ARE FIND 3 EQUIVALENT RATIOS 14 3…

A: Please see the below picture for detailed solution.

Q: Use Stokes' Theorem to find the circulation of F = 3yi + 2zj + 2xk around a circle C of radius 5…

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250…

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Q: Show that cosh (3x) = 4cosh³r - 3 cosh T.

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Q: )=

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Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 2), defined on the interval…

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Q: If f(x, y, z) = 6 √2x+8y +9z, then fz at x = 0, y = 0, z = 1 is =_ 00 -3 01 09

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Q: The radius of the base of a cylinder is decreasing at a rate of 12 kilometers per second. The height…

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Q: What is a parametric description for the plane - 20x - 18y + 2z = 8? Select the correct answer…

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Q: Which of these vector fields are irrotational? Identify all of those that satisfy this property. A B…

A: The given vector fields, A) u=-x, y, 0B) u=-y, x, 0C) u=-x, z, 0D) u=x, y, z We have to find the…

Q: D"(1) The depth of a rain puddle D(t) is given in inches, and t is given in minutes. If the depth is…

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Q: Activity 5 A hyperbola is the set of points such that the difference of the distances from two fixed…

A: The radius difference is 7 so the number of points are below 4 for both side in circle 2 and 9 4 for…

Q: Suppose g(x) is given by the following graph. y 1.0 0.5 -0.5 -1.0 -1.5 -2.0 (a) Compute each of the…

A: To find the values of definite integral of function g(x) whose graph is given

Q: An emergency field hospital was built in the remaining piece of government-owned land. Given that if…

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Q: Find the general solution for the differential equation. dy 2-10xy-5x = 0 dx

A: To solve the given differential equation

Q: Evaluate the integral by making the given Substitution. (Use ( for the constant of integration.)…

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Q: Evaluate F(5) 2 L F(x) = f f(t) dt, where f is the function whose graph is shown. w + -2+ B 5 6 7 8…

A: The given integral function is: F(x)=∫0x f(t) dt

Q: 4. Prove Theorem 7.5, the formula for the area of a trapezoid. [Hint: For a clever ap- proach that…

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Q: Consider the line y = ax, where a is a positive constant. What should be the x-coordinate of the…

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Q: Find the missing parts of triangle ABC when angle C=115, a=18, and b=23.

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Q: The graph of y=x ln x-x where x > 0 is shown in Figure 6 (a) (i) Show that = ln .x. dr 2 4 2 0 -2-…

A: Given graph of a function y=f(x)

Q: f(x) = 2x² + 2x + 1 (a) h(x) = lim h(x) = X→ 00 (b) h(x) = = lim_h(x) = X→ ∞ (c) h(x) = lim h(x) 818…

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Q: Consider the following. x = 6 cos(8), y = sec² (8), 0≤ 8</ (a) Eliminate the parameter to find a…

A: The given parametric curve, x=6 cosθ, y=sec2θ, 0≤θ&lt;π2 We have to eliminate the parameter and…

Q: Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,…

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Q: 9. The area of the region S that lies under the graph of the continuous function is the limit of the…

A: Please see the below picture for detailed solution.

Q: Suppose a car is traveling at 50 km/hr, and that the positive y-axis is north and the positive…

A: The given problem is solved below in detail.

Q: Generate solution of the higher-order differential equations using different analytic techniques.…

A: Given The characteristic equation will be 4m4-45m2-70m-24=0. Now,…

Q: Find the general solution. When the operator D is used, it is implied that the independent variable…

A: We have to find the general solution for the given differential equation.…

Q: 12. Determine whether or not the given function (defined on -∞0 <2<x) is periodic. If it is, find…

A: A periodic function can be defined as:A function returning to the same value at regular intervals.…

Q: If the two adjacent sides of a rectangle are always on the legs of a triangle, what is the length of…

A: let longer side of the rectangle = xlet shorter side of the rectangle = y

Q: Find fry when 1. fxy 2. fxy 3. fxy 4. fxy f(x, y) = (x+2y)exy. = - (2 − xy)(x + 2y)exy (2 +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the area of the region enclosed by y=6x and y=5x2

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: According to question,Given series,∑n=1∞n+33n+12n

Q: Write the function in terms of the cofunction of a complementary angle. CSC CSC T 12 T 12 =…

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Q: f(x, y) = e 10x-z²+8y-y² Find and classify all critical points of the function. If there are more…

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Q: У 2- -2- П 2л X

A: Graph of the function is given, we have to find its equation.

Q: t on the interval [-3, 0]. 1² +1+1 (Express numbers in exact form. Use symbolic notation and…

A: Given, R(t)=tt2+t+1

Q: Suppose F = (5x - 5y)i + (x + 5y)j. Use Stokes' Theorem to make the following circulation…

A: We need to solve using Stokes' theorem.

Q: Given f(x) = ax³ + bx² + 9x + c. Find c so that (2,3) is a point of inflection of the graph of f and…

A: Given 1. fx=ax3+bx2+9x+c 2. 2, 3 is the point of inflection and slope of the tangent line is -3.

Q: Sketch the following region R and write an iterated integral of a continuous function f over the…

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